rexresearch
Tim LUCAS
Resonant Macrosonic Synthesis ( RMS )
macrosonix.com
Popular Science, Vol. 252, No. 4 ( Apr
1998 ), Page 28
CNN.com : Invention may do for sound what
laser did for light
9th Annual Discover Magazine Awards
for Technological Innovation ( July, 1998 ) : MacroSonix's
Resonant Sound Technology
Eureka Magazine ( August, 1998 ) :
Bottled Sound is the Ultimate Power Source
Physics Today ( February 1998 )
: Ultrahigh-Energy Sound Waves Promise New Technologies
Scientific American
( February 1998 ) : Boom Box ~ A resonator boosts sound
pressures to new highs
PATENTS
US5319938 -- Acoustic resonator
having mode-alignment-canceled harmonics
US5515684 -- Resonant
Macrosonic Synthesis
US5994854 -- Acoustic
resonator power delivery
US6163077 -- RMS energy
conversion
TW374827 -- RMS energy
conversion
PATENT ABSTRACTS
WO9927636 -- Acoustic Resonator Power Delivery
MX9601981 -- Resonant Macrosonic Synthesis
EP0447134 -- Standing wave compressor.
US6388417 -- High stability dynamic force motor
US6230420 -- RMS process tool
US5357757 -- Compression-evaporation cooling
system having standing wave compressor
http://www.macrosonix.com
Telephone 804-262-3700
FAX 804-266-4627
1570 East Parham Road Richmond , Virginia 23228
MacroSonix - Sound, Macro Waves and Reverberation

Our Technology
MacroSonix Corp. is a research and development company
specializing in commercializing products based upon its core
technologies, including its proprietary technology known as
Resonant Macrosonic Synthesis, or RMS. RMS utilizes
high-energy resonant sound waves inside closed cavities to
perform mechanical functions such as compressing gases. The
sound waves are typically actuated by a metal diaphragm driven
by a linear motor, and use a microprocessor-based controller to
maintain resonance. MacroSonix holds multiple patents on
its core technologies.
Our
Products and Services
MacroSonix is developing a number of compressor related
products, including air and gas compressors, refrigeration
condensing units and compressors, electronic cooling units,
variable reluctance linear motors and acoustic resonators. In
addition, we have recently begun working with outside
organizations on early-stage feasibility studies for selected
chemical processing applications for RMS, including atomization,
powder processing, and chemical reaction acceleration.
MacroSonix also offers contract R & D services to other
organizations which draw upon our core technical and prototyping
competencies and capabilities.
Popular
Science, Vol. 252, No. 4 ( Apr 1998 ), Page 28
CNN.com
December 2, 1997
Invention may do for sound what laser did for light
'It's doing something ... completely impossible'
by Jim
Hill
SAN DIEGO (CNN) -- A researcher says he has done something
"completely impossible" by harnessing the power of sound, and
that eventually it will be available in everything from home
appliances to industrial compressors.
Tim Lucas says he made a radical discovery while working at the
Los Alamos National Laboratory in New Mexico that enables him to
create more energy through sound waves than was ever thought
possible.
"It's not an incremental improvement in an existing technology,"
Lucas says, "it's suddenly doing something which before was
completely impossible."
Scientists have long known that sound is composed of pulsing
waves of energy, but it was considered useless as a power source
because at high levels sound waves distort into shock waves.
An example is the way sound distorts on a stereo or radio
speakers when turned up too loud.
But Lucas discovered that by sending sound waves through empty
containers of various shapes, the shock waves were eliminated.
Clean electric power generators?
"Once you've done that," he says, "you can add all the energy,
create all the pressure, and deliver all the power that you
want."
Lucas calls his invention Resonant Macrosonic Synthesis -- RMS.
He has used it to power such things as a gas compressor, but
believes there is so much potential that he compares what he has
done with sound to what the laser has done with light.
His company, Macrosonix, is working on sound wave compressors
which might one day do everything from cool refrigerators and
air conditioners in the home to running compressors in factories
and on construction sites.
The beauty of a sound-wave compressor is that it would do what a
compressor does, but without the moving parts required in
conventional piston technology.
Mechanical engineering professor Mark Hamilton, who has followed
Lucas' work, says, "I don't think the idea struck people that
you could use sound waves to do, say, pumping that could be used
on a commercial scale. And I think that was the innovative part
of the idea here."
Macrosonix researchers say they also hope to use sound to create
clean electric power generators, replacing any number of
machines with the technology of an empty cavity.
9th Annual
Discover Magazine Awards for Technological Innovation ( July,
1998 )
MacroSonix's Resonant Sound Technology
INNOVATOR: TIM LUCAS
Imagine a compressor in your refrigerator with no pistons,
crankshafts, or lubricated bearings. Instead, all the work is
done by sound waves bouncing around in an empty cavity.
When this idea first began bouncing around Tim Lucas's head ten
years ago, his fellow physicists told him it would never work.
Sound waves, they pointed out, can store only a relatively small
amount of energy before turning into jagged shock waves that
dissipate any added energy as heat. At least that's what happens
when a wave travels through the open air, or through a
cylindrical "wave guide." Undaunted, Lucas experimented and
found that by shaping the sound chamber, or resonator, into
something like a cone or a bulb, he could keep shock waves from
forming. "Most of the research had been done in a simple
cylindrical tube, and it turns out that's the one resonator
guaranteed to give you a shock wave," says Lucas. "There's an
infinite family of resonators that can give you non-shocked
waves." In his technology, which he calls Resonant Macrosonic
Synthesis, sound waves store thousands of times more energy than
previously thought possible.
Lucas, who started his own company, MacroSonix Corp. in
Richmond, Virginia, to develop RMS, has licensed it to one
company (he won't say which) for refrigerator compressors--the
part that compresses and circulates the coolant. The coolant
passing through the cavity would be compressed when it
encounters the high-pressure portion of the wave. Other
applications might include cooling computer chips;
"micronizaton," which is the pulverizing of particles down to
microscopic size; and filtering out particles from factory
exhaust (the sound waves would cause the particles to clump
together). "We believe RMS is a new primary technology,
something that functions at a fundamental level of physics,"
says Lucas.
Eureka
Magazine ( August, 1998 )
Bottled Sound is the Ultimate Power Source
Sound waves could be a source of high energy in the future
thanks to a technique that can better control their awesome
power.
The breakthrough is known as Resonant Macrosonic Synthesis (RMS)
and allows sound waves to be created - inside a closed resonator
- with energy densities thousands of times greater than
previously achieved.
The developer, MacroSonix, already has ideas on how to create
new industry standards. These include clean electric power
generation for the national grid, on-site power on demand or
even hybrid electric vehicles. For these ideas RMS could be
combined with pulse combustion science to convert fuels such as
natural gas into electric power.
"RMS quite literally unlocks the power of sound," says Tim
Lucas, founder and CEO of MacroSonix. "Now that large amounts of
energy can be transferred into resonant sound waves, these waves
can be used to perform industry's high-powered tasks in a
completely new and simpler way.
It was always believed that there was an intrinsic limit for
sound levels in gases that would prevent such high energy levels
from existing - usually through the formation of shock waves.
This barrier was broken in 1990, allowing RMS to be developed -
with details now being released eight years later.
The key to RMS is the shape of the resonator. The resonator
controls the shape of-the wave and can prevent the formation of
shock waves. RMS allows the synthesis of non-shocked waveforms,
which in turn allows large amounts of energy to be added to the
wave, leading to extremely high dynamic pressures. Once an
acoustic standing wave is formed the resonator’s geometry
determines the resulting waveform, regardless of the wave’s
amplitude.
Now that RMS can transfer this much energy into a sound wave, a
wide range of physical effects becomes possible.
One example, says MacroSonix, is dynamic (oscillating) pressures
in gases exceeding 500psi. Pressures call be generated well in
excess of those needed commercial applications, with much higher
pressures provided, if required.
The fluid power industry can also benefit through RMS’s, ability
to compress gas or to pump liquids. This will remove the need
for moving parts, lubrication oil and cut the risk of fluid
contamination. Industries that may benefit from this include:
chemicals – thanks to the ability to drive and control thermal
and kinetic chemical reactions - pharmaceuticals, semiconductor
manufacture, natural and commercial gas handling, refrigeration,
air conditioning and air compression.
The technique might also be used for levitation for non-contact
manufacturing process, by levitating and positioning heavy
object within an RMS chamber.
One of the first areas to take advantage of the technology is a
lubricant-free acoustic compressor which eliminates the need for
CFCs and promises more energy efficiency. The compressor uses
sound to compress the gas and has no moving parts - such as
pistons, crank shafts and bearings - so needs no oil to
lubricate them.
"The two waves which most apparently affect our everyday lives
are electromagnetic waves and sound waves, ' says Lucas.
"Electromagnetic waves have been commercialised for over 100
years but the commercial application of sound waves has only
scratched the surface."
Physics
Today ( February 1998 )
Ultrahigh-Energy Sound Waves Promise New
Technologies
by Ray
Ladbury
Researchers in acoustics have long wondered whether sound waves
could replace mechanical components in devices such as
compressors, combustion engines, and pumps; now a team of
researchers in Virginia has answered - with a very loud, YES!
Perhaps because we are constantly bombarded by sound, it is easy
to forget that sound waves actually represent quite small
pressure variations. The sound of a jet engine a few meters away
measures only about 20 Pa (about 0.0002 atmospheres). As one
increases the energy going into a sound wave, nonlinear
processes in the gas in which the wave propagates direct more
and more energy into harmonics of the drive frequency. The
harmonics distort the sound wave and ultimately form shock
waves. It is these shocks that limit the amplitudes attainable.
Sound waves’ low energy levels and compression ratios (defined
as the ratio of the waveform’s peak and minimum pressures) have
limited their usefulness in high-power applications such as
compressors and pumps. Accordingly, many researchers have
wondered whether the acoustic saturation imposed by shock
formation can be circumvented in some special circumstances.
Although acoustic saturation has been found to be inevitable
(perhaps thankfully) for sound waves propagating in free space,
the question of whether acoustic saturation is also unavoidable
for standing waves in resonating cavities has received little
attention. Recently, researchers at Macrosonix Corporation
(Richmond, Virginia) have reported creating sound waves with
energy densities 1600 times higher than was previously possible.
According to Macrosonix founder and CEO Tim Lucas, pressures in
these sound waves oscillate from peak values of up to10
atmospheres down to hard vacuum, rendering the concept of
compression ratios all but meaningless.
Two papers presented by Macrosonix at the December 1997 meeting
of the Acoustical Society of America in San Diego, California,
discuss using resonator geometry to control the phases and
amplitudes of harmonics in a waveform, thereby tailoring the
waveform to a particular application. The researchers christened
this technique Resonant Macrosonic Synthesis (RMS). As an
application of RMS, they used a specifically designed resonator
called a horn-cone (shaped like the bell of an elongated
trumpet) to shape the waveform to avoid the discontinuity
characteristic of a shock. The resulting shock-free sound waves
can then be driven at much higher amplitudes.
Although the idea of using resonator geometry to control sound
waveforms is not new, previous advances have been less dramatic.
The newly synthesized sound waves are powerful enough to perform
tasks that previously required mechanical components. Moreover,
Lucas hopes to use RMS not only to attain high pressure
amplitudes, but also to tailor the shapes and characteristics of
waveforms to applications ranging from materials processing to
pharmaceutical and chemical manufacturing to electric power
generation.
Putting
Sound to Work
Lucas originally became interested in generating large-amplitude
acoustic waves when he realized that such waves could drive
acoustic compressors that, in turn, could be used in
environmentally benign refrigerators and pumps. After founding
Macrosonix to tackle the technical problems involved in
generating and controlling high-amplitude sound waves, Lucas
spent a year at Los Alamos National Laboratory, where he worked
in the lab of acoustical physicist Greg Swift. Lucas and his
collaborators at Macrosonix then worked for the next seven years
to develop methods of modeling non-linear phenomena associated
with high-amplitude waves, find resonator geometries likely to
achieve high amplitudes, create efficient mechanical drivers for
their resonators and finally to harness a variety of high-energy
acoustic effects to perform power hungry tasks such as gas
compression, pulverization and electric power generation. By
1996, they had developed an acoustic compressor suitable for a
commercially viable (and, yes, fairly quiet) acoustical
refrigerator.
Developing viable acoustical technologies required a detailed
understanding of the nonlinear phenomena associated with
high-energy sound waves. Unfortunately most commercial software
for acoustics implicitly assumes a small amplitude
approximation. This forced the company to develop its own
software for modeling the behavior of sound waves in
cylindrically symmetric resonators. Beginning with conservation
of mass and momentum (including viscous dissipation) and the
state equation for an ideal gas, the team derived a set of
coupled differential equations that could be solved numerically.
As reported at the ASA conference, Lucas, Yurii Ilinksy, Bart
Lipkens, Thomas Van Doren and Evgenia Zabolotskaya used the
resulting model to predict the behavior of sound waves in a
variety of resonators, including the horn-cone and others shaped
like a cylinder, a cone and a bulb. The model was crucial for
predicting which resonators were likely to avoid shocks at high
pressure amplitudes.
Shock waves tend to form when the relative phases of the wave’s
harmonics and fundamental frequency assume certain values. RMS
uses resonator geometry to force the phases and amplitudes of
harmonics to assume values other than those characteristic of
shocks. For example, in consonant resonators, like a simple
cylindrical cavity, the wave’s harmonics coincide with the
higher modes of the cavity, providing precisely the conditions
needed to generate shocks. In dissonant resonators (such as a
cone), modes are not equally spaced, and so harmonics are less
likely to coincide with cavity modes. As a result, resonators
that achieve high pressure amplitudes are most likely to be
dissonant, although even many dissonant resonators produce sever
shocks at low pressure amplitudes. Hence the importance of being
able to accurately model the physical processes occurring within
the resonator.
The Macrosonix team also determined that efficient generation of
high amplitude sound waves required a more effective method of
driving the sound wave in the resonator. To effectively couple
the mechanical motion of the driving force to the acoustic wave
in the resonator, the team used a technique called
entire-resonator drive, in which the resonator is shaken along
its axis. In effect, this technique uses the entire inner
surface of the resonator to drive the gas, rather than just a
diaphragm of piston at one end, as was done in previous studies.
As a result, entire resonator drive minimizes energy
inefficiency. Even so, energy dissipation in the gas does raise
its temperature and pressure, and therefore its sound speed and
resonance frequency. Consequently, sensors in the cavity monitor
the conditions in the gas and automatically adjust the drive
frequency to remain on resonance.
According to Lucas, a major (so far unnamed) manufacturer of
appliances has already licensed an RMS-based compressor design
for use in a refrigerator, which is expected to be available
commercially within two years. Lucas is confident that a range
of other applications will mature in the near future. At
present, however, researchers in acoustics are as interested in
the characteristics of the high-amplitude acoustic waves as they
are in their applications.
In the other paper presented by the company at the San Diego
conference, Lucas, Van Doren, Lipkens, Christopher Lawrenson and
David Perkins described measurements of waveforms and their
dependence on driving-force amplitude and frequency (near
resonance), as well as the effects of different gases on the
waveform for a variety of resonator geometries, including
cylindrical, conical, horn-cone and bulb. In general, regardless
of the resonator, as the driving force (and therefore pressure
amplitude) increased, the sound waves first changed from smooth
to distorted sine waves, then developed ripples and finally
discontinuous shock waves. However, resonator geometry was
crucial in determining the pressure at which those transition
occurred: Dissonant resonators achieved higher pressures than
consonant resonators, and the horn-cone significantly
outperformed the other dissonant resonators, as predicted by the
Macrosonix model. The horn-cone was also more efficient at
generating so-called DC pressure, a nonlinearly generated
steady-state (nonoscillatory) pressure distribution that changes
the local equilibrium pressure about which the sound waves
oscillate. According to Lucas, such steady-state pressure
differentials within the resonator up to 3.3 atmospheres and can
be used in valveless pumps and compressors, as well as to
levitate heavy objects.
The researchers also observed interesting hysteresis in which
nonlinear processes in the gases caused an upward or downward
shift in the resonance frequency as resonance was approached
from below relative to that measured when resonance was
approached from above. Moreover, whether the shift was null,
upward or downward was determined by the resonator geometry,
rather than by the properties of the gas. Indeed, aside from
small differences in the pressures attained that depended on how
nonideal the gas was, the waveforms looked the same for the
three different gases investigated - R-134
(1,1,1,2-tetrafluroethane, a refrigerant), propane and nitrogen.
This finding suggests that the same resonators may be used with
different gases.
A Sound
Future
Although Macrosonix nature as a startup high-tech firm has
forced Lucas and his collaborators to maintain an applied,
technical focus, Lucas is excited about the prospects for RMS in
basic research as well as in technology. "RMS is a primarily
technology," he stresses. "This is the first technique capable
of generating sound waves of such amplitudes. I can’t wait to
see what other researchers will do with these techniques." If
the reception given to the papers presented in San Diego is any
indication, Lucas’s fellow researchers are equally enthusiastic
about potential applications of RMS in their own areas of
research. As Steve Garrett of Pennsylvania State University put
it, "If he ever puts these in commercial fridges, I’d buy one,
throw away the fridge and just keep the pump to do science."
References
1. Y.A. Ilinskii, B. Lipkens, T.S. Lucas, T.W. Van Doren, E. A.
Zabolotskaya, J. Acoust. Soc. Am., in press.
2. C.C. Lawrenson, B. Lipkens, T.S. Lucas, D.K. Perkins, T.W.
Van Doren, J. Acoust. Soc. Am., in press.
3. D.F. Gaitan. A.A. Atchley, J. Acoust. Soc. Am. 93, 2489
(1993) and references therein.
4. See for example, A.B. Coppens, J.V. Sanders, J. Acoust. Soc.
Am 58, 1133 (1975).
Acoustic compressors replace most of the mechanical parts
in conventional compressors with standing sound waves. During
one acoustic cycle, the pressure oscillates from high (red) to
low (blue). In the first part of the cycle (upper image), low
pressure in the narrow portion of the resonator closes the
discharge (upper) valve and opens the intake (lower) valve.
Allowing low-pressure gas into the resonator. In the second part
of the cycle (lower image), high pressure in the narrow portion
of the resonator closes the intake valve and allows
high-pressure gas to flow through the discharge valve. Because
they use no oil and have few moving parts, acoustic compressors
are expected to be clean and reliable.
Scientific
American ( February 1998 )
Boom Box ~ A resonator boosts sound pressures to new
highs
Blowing across the lip of a bottle to produce that satisfying
hum would not seem the basis for new discoveries. But that is
essentially what Timothy S. Lucas claims he has made. Reporting
at the Acoustical Society of America meeting last December, the
founder and president of Macrosonix Corporation in Richmond,
Va., says his torpedo-shaped "bottles," when shaken back and
forth hundreds of times a second, can create standing sound
waves within them that pack energy densities 1,600 times greater
than that previously achieved in acoustics. The process, which
Lucas calls "Resonant Macrosonic Synthesis," can produce
pressures exceeding 3.5 million pascals (500 pounds per square
inch), more than enough for industrial applications such as
compressing and pumping.
The key is the shape of the bottle, or resonator. In the past,
resonators were often cylindrical, and shock waves formed inside
them if they vibrated too quickly. A shock wave - a compression
wave that delineates a sharp boundary between high and low
pressures - dissipated energy, preventing the internal pressure
from getting too high. As a result, driving the resonator faster
- the equivalent of blowing harder across the top of a bottle -
would no longer boost the volume the volume of the internal
sound.
PATENTS
US5319938
Acoustic resonator having mode-alignment-canceled harmonics
An acoustic resonator includes a chamber which contains a fluid.
The chamber has a geometry which produces self-destructive
interference of at least one harmonic in the fluid to avoid
shock wave formation at finite acoustic pressure amplitudes. The
chamber can have reflective terminations at each end or a
reflective termination at only one end. A driver mechanically
oscillates the chamber at a frequency of a selected resonant
mode of the chamber. The driver may be a moving piston coupled
to an open end of the chamber, an electromagnetic shaker or an
electromagnetic driver.
BACKGROUND
OF THE INVENTION
1) Field of Invention
This invention relates to an acoustic resonator in which
near-linear macrosonic waves are generated in a resonant
acoustic chamber, having specific applications to resonant
acoustic compressors.
2)
Description of Related Art
My earlier U.S. Pat. No. 5,020,977 is directed to a compressor
for a compression-evaporation cooling system which employs
acoustics for compression. The compressor is formed by a
standing wave compressor including a chamber for holding a fluid
refrigerant. A travelling wave is established in the fluid
refrigerant in the chamber. This travelling wave is converted
into a standing wave in the fluid refrigerant in the chamber so
that the fluid refrigerant is compressed.
Heretofore, the field of linear acoustics was limited primarily
to the domain of small acoustic pressure amplitudes. When
acoustic pressure amplitudes become large, compared to the
average fluid pressure, nonlinearities result. Under these
conditions a pure sine wave will normally evolve into a shock
wave.
Shock evolution is attributed to a spacial change in sound speed
caused by the large variations in pressure, referred to as
pressure steepening. During propagation the thermodynamic state
of the pressure peak of a finite wave is quite different than
its pressure minimum, resulting in different sound speeds along
the extent of the wave. Consequently, the pressure peaks of the
wave can overtake the pressure minimums and a shock wave
evolves.
Shock formation can occur for waves propagating in free space,
in wave guides, and in acoustic resonators. The following
publications focus on shock formation within various types of
acoustic resonators.
Temkin developed a method for calculating the pressure amplitude
limit in piston-driven cylindrical resonators, due to shock
formation (Samuel Temkin, "Propagating and standing sawtooth
waves", J. Acoust. Soc. Am. 45, 224 (1969)). First he assumes
the presence of left and right traveling shock waves in a
resonator, and then finds the increase in entropy caused by the
two shock waves. This entropy loss is substituted into an energy
balance equation which is solved for limiting pressure amplitude
as a function of driver displacement. Temkin's theory provided
close agreement with experimentation for both traveling and
standing waves of finite amplitude.
Cruikshank provided a comparison of theory and experiment for
finite amplitude acoustic oscillations in piston-driven
cylindrical resonators (D. B. Cruikshank, "Experimental
investigation of finite-amplitude acoustic oscillations in a
closed tube", J. Acoust. Soc. Am. 52, 1024 (1972)). Cruikshank
demonstrated close agreement between experimental and
theoretically generated shock waveforms.
Like much of the literature, the work of Temkin and Cruikshank
both assume piston-driven cylindrical resonators of constant
cross-sectional (CCS) area, with the termination of the tube
being parallel to the piston face. CCS resonators will have
harmonic modes which are coincident in frequency with the wave's
harmonics, thus shock evolution is unrestricted. Although not
stated in their papers, Temkin and Cruikshank's implicit
assumption of a saw-tooth shock wave in their solutions is
justified only for CCS resonators.
For resonators with non-harmonic modes, the simple assumption of
a sawtooth shock wave will no longer apply. This was shown by
Weiner who also developed a method for approximating the
limiting pressure amplitude in resonators, due to shock
formation (Stephen Weiner, "Standing sound waves of finite
amplitude", J. Acoust. Soc. Am. 40, 240 (1966)). Weiner begins
by assuming the presence of a shock wave and then calculates the
work done on the fundamental by the harmonics. This work is
substituted into an energy balance equation which is solved for
limiting pressure amplitude as a function of driver
displacement.
Weiner then goes on to show that attenuation of the even
harmonics will result in a higher pressure amplitude limit for
the fundamental. As an example of a resonator that causes even
harmonic attenuation, he refers to a T shaped chamber called a
"T burner" used for solid-propellent combustion research. The T
burner acts as a thermally driven 1/2 wave length resonator with
a vent at its center. Each even mode will have a pressure
antinode at the vent, and thus experiences attenuation in the
form of radiated energy through the vent. Weiner offers no
suggestions, other than attenuation, for eliminating harmonics.
Attenuation is the dissipation of energy, and thus is
undesirable for energy efficiency.
Further examples of harmonic attenuation schemes can be found in
the literature of gas-combustion heating. (see for example,
Abbot A. Putnam, Combustion-Driven Oscillations in Industry
(American Elsevier Publishing Co., 1971)). Other examples can be
found in the general field of noise control where
attenuation-type schemes are also employed, since energy losses
are of no importance. One notably different approach is the work
of Oberst, who sought to generate intense sound for calibrating
microphones (Hermann Oberst, "A method for the production of
extremely powerful standing sound waves in air", Akust. Z. 5, 27
(1940)). Oberst found that the harmonic content of a finite
amplitude wave was reduced by a resonator which had non-harmonic
resonant modes. His resonator was formed by connecting two tubes
of different diameter, with the smaller tube being terminated
and the larger tube remaining open. The open end of the
resonator was driven by an air jet which was modulated by a
rotating aperture disk.
With this arrangement, Oberst was able to produce resonant
pressure amplitudes up to 0.10 bar for a driving pressure
amplitude of 0.02 bar, giving a gain of 5 to the fundamental.
The driving waveform, which had a 30% error (i.e. deviation from
a sinusoid), was transformed to a waveform of only 5% error by
the resonator. However, he predicted that if more acoustic power
were applied, then nonlinear distortions would become clearly
evident. In fact, harmonic content is visually noticeable in
Oberst's waveforms corresponding to resonant pressure amplitudes
of only 0.005 bar.
Oberst attributed the behavior of these finite amplitude waves,
to the noncoincidence of the resonator modes and the wave
harmonics. Yet, no explanations were offered as to the exact
interaction between the resonator and the wave harmonics.
Oberst's position seems to be that the reduced spectral density
of the resonant wave is simply the result of comparatively
little Q-amplification being imparted to the driving waveform
harmonics. This explanation is only believable for the modest
pressure amplitudes obtained by Oberst. Oberst provided no
teachings or suggestions that his methods could produce linear
pressure amplitudes above those which he achieved, and he
offered no hope for further optimization. To the contrary,
Oberst stated that nonlinearities would dominate at higher
pressure amplitudes.
A further source of nonlinearity in acoustic resonators is the
boundary layer turbulence which can occur at high acoustic
velocities. Merkli and Thomann showed experimentally that at
finite pressure amplitudes, there is a critical point at which
the oscillating laminar flow will become turbulent (P. Merkli,
H. Thomann, "Transition to turbulence in oscillating pipe flow",
J. Fluid Mech., 68, 567 (1975)). Their studies were also carried
out in CCS resonators.
Taken as a whole, the literature of finite resonant acoustics
seems to predict that the inherent nonlinearites of fluids will
ultimately dominate any resonant system, independent of the
boundary conditions imposed by a resonator. The literature's
prediction of these limits is far below the actual performance
of the present invention.
Therefore, there is a need in the art to efficiently generate
very large shock-free acoustic pressure amplitudes as a means of
gas compression for vapor-compression heat transfer systems of
the type disclosed in my U.S. Pat. No. 5,020,977. Further, many
other applications within the field of acoustics, such as
thermoacoustic heat engines, can also benefit from the
generation of high amplitude sinusoidal waveforms.
SUMMARY OF
THE INVENTION
It is an object of the present invention to provide acoustic
resonators which eliminate shock formation by promoting the
destructive self-interference of the harmonics of a wave,
whereby near-linear acoustic pressures of extremely high
amplitude can be achieved.
It is another object of the present invention to provide
acoustic resonators which minimize the nonlinear energy
dissipation caused by the boundary layer turbulence of finite
acoustic waves.
It is a further object of the present invention to provide
acoustic resonators which minimize boundary viscous energy
dissipation and boundary thermal energy dissipation.
It is a still further object of the present invention to provide
an acoustic driving arrangement for achieving high acoustic
pressure amplitudes.
It is an even further object of the present invention to provide
an acoustic resonator which can maintain near-sinusoidal
pressure oscillations while being driven by harmonic-rich
waveforms.
The acoustic resonator of the present invention includes a
chamber containing a fluid. The chamber has a geometry which
produces destructive self interference of at least one harmonic
in the fluid to avoid shock wave formation at finite acoustic
pressure amplitudes. The chamber has a cross-sectional area
which changes along the chamber, and the changing
cross-sectional area is positioned along the chamber to reduce
an acoustic velocity of the fluid and/or to reduce boundary
viscous energy dissipation. The chamber may comprise a resonant
chamber for a standing wave compressor used for fluid
compression for heat transfer operations.
The acoustic resonator driving system of the invention includes
a chamber containing a fluid, wherein the chamber has
acoustically reflective terminations at each end. A driver
mechanically oscillates the chamber at a frequency of a selected
resonant mode of the chamber. The acoustic resonator and drive
system of the present invention may be connected to heat
exchange apparatus so as to form a heat exchange system such as
a vapor-compression system.
As described above, the acoustic resonator and acoustic driving
arrangement of the present invention provide a number of
advantages and achieve non-linear acoustic pressures of
extremely high amplitude. In particular, the actual performance
of the present invention is far beyond the results predicted in
the literature of finite resonant acoustics.
These and other objects and advantages of the invention will
become apparent from the accompanying specifications and
drawings, wherein like reference numerals refer to like parts
throughout.
BRIEF
DESCRIPTION OF THE DRAWINGS
FIG. 1 is a graphical representation of a resonator
having higher modes which are harmonics (i.e. integer
multiples) of the fundamental;
FIG. 2 is a graphical representation of a resonator
having higher modes which are not harmonics of the
fundamental;
FIG. 3 is a sectional view of an embodiment of a
resonator in accordance with the present invention, which
employs an insert as a means of mode tuning;
FIG. 4 is a table of measured data for the resonator
shown in FIG. 3;
FIG. 5 is a table of theoretical data for the resonator
shown in FIG. 3;
FIG. 6 is a sectional view of an embodiment of a
resonator in accordance with the present invention which
employs sections of different diameter as a means of mode
tuning;
FIG. 7 is a table of measured data for the resonator
shown in FIG. 6;
FIG. 8 is a table of theoretical data for the resonator
shown in FIG. 6;
FIG. 9 is a sectional view of an embodiment of a
resonator in accordance with the present invention showing
further optimizations in resonator geometry;
FIG. 10 is a table of theoretical data for the resonator
shown in FIG. 9;
FIG. 11 is a sectional view of an apparatus used in a
resonator driving system in accordance with the present
invention, in which the entire resonator is oscillated along
its longitudinal axis;
FIG. 12 is a sectional view of the resonator shown in
FIG. 9 which employs porous materials for enhanced
cancellation of higher harmonics; and
FIG. 13 is a sectional view of the resonator and driving
system of FIG. 11 as connected to heat exchange apparatus to
form a heat exchange system.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
Shock Elimination via Mode-Alignment-Canceled Harmonics
It is well known that "pressure steepening" at high acoustic
pressure amplitudes leads to the classic sawtooth waveform of a
shock wave. It is also understood that a sawtooth waveform
implies, from Fourier analysis, the presence of harmonics.
If finite amplitude acoustic waves are generated in a constant
cross-sectional (CCS) resonator, a shock wave will appear having
the harmonic amplitudes predicted by the Fourier analysis of a
sawtooth waveform. At first this would not seem surprising, but
it must be understood that a CCS resonator has modes which are
harmonic (i.e. integer multiples of the fundamental) and which
are coincident in frequency with the harmonics of the
fundamental. CCS resonators can be considered as a special case
of a more general class of resonators whose modes are
non-harmonic. Non-harmonic resonators hold a previously
unharnessed potential for providing extremely high amplitude
linear waves. This potential is realized by non-harmonic
resonators which are designed to promote the self-destructive
interference of the harmonics of the fundamental.
The present invention employs this principle and provides a new
resonator design criterion; to optimize the self-cancellation of
wave harmonics. This new design criterion for
mode-alignment-canceled harmonics (MACH) eliminates shock
formation. MACH resonators have achieved pressure amplitudes of
100 psi peak-to-peak, with mean pressures of 80 psia, without
shock formation. This translates into a peak acoustic pressure
amplitude which is 62% of the mean pressure.
Once the MACH design criterion is understood, many different
resonator geometries can be employed for aligning a resonator's
higher mode to promote self-cancellation of harmonics. A
straightforward approach for exploiting the MACH principle is to
align resonator modes to fall between their corresponding
harmonics.
The bar graph of FIG. 1 illustrates the relationship between the
harmonics of the fundamental and the resonator modes for a CCS
1/2 wave length resonator. The vertical axis marks the wave
harmonics of the wave, and the bar height gives the resonant
frequency of the mode. At a fundamental frequency of 100 Hz the
wave will have harmonics at 200 Hz, 300 Hz, 400 Hz, etc. From
FIG. 1 it can be seen that the harmonics of the wave are
coincident in frequency with the modes of the resonator. Stated
differently, the nth harmonic of the wave is coincident with the
nth mode of the resonator. Consequently, little or no
self-destructive interference of the wave harmonics will occur,
and a shock wave can evolve without restriction. For a well
developed shock wave, the pressure amplitude of the 2nd harmonic
will be within 6 dB of the fundamental's amplitude.
The bar graph of FIG. 2 illustrates one of many possible
arrangements for promoting the destructive self-interference of
harmonics. In FIG. 2, the resonator modes are aligned to fall
between the wave harmonics. For this example, the resonator
modes have been shifted down in frequency so that the nth mode
lies between harmonics n and n-1. With this arrangement a large
degree of destructive self-interference of the wave harmonics
can occur.
FIG. 3 is a sectional view of a resonator which was constructed
and tested, and whose modes are shifted down in frequency. The
resonator in FIG. 3 is formed by a hollow cylindrical chamber 2,
an end flange 4, an end flange 6, and tapered rod insert 8, with
all parts being aluminum. Tapered rod insert 8 was welded to end
flange 4 with end flange 4 being welded to chamber 2. End flange
6 was welded to chamber 2, and was drilled to accommodate a
process tube and a pressure transducer. Chamber 2 has an inside
diameter of 5.71 cm, and an inside length of 27 cm. Tapered rod
insert 8 has a half-angle end taper of 34.98 DEG, and a length
of 10 cm, measured from end flange 4. Sharp edges on tapered rod
insert 8 were rounded off to an arbitrary curvature to reduce
turbulence.
Tapered rod insert 8 serves to create a smaller cross-sectional
area along its length inside of chamber 2. In this way, the
resonator of FIG. 3 is divided into two sections of different
cross-sectional area, each section having its own acoustical
impedance. This impedance change results in a shifting of the
resonator modes to non-harmonic frequencies. The degree to which
the modes are shifted can be controlled by varying the diameter
and length of tapered rod insert 8. The manner in which the
resonator is driven is described below.
FIG. 4 is a table of measured data obtained for the resonator of
FIG. 3. The last column provides a relative measure of the
degree of mode shift, by calculating the difference between the
frequency "fn " of the nth mode and n times the fundamental
frequency "nf1." The ideal mode shift, for placing the resonator
modes at the midpoints between neighboring harmonics, is equal
to 1/2 the fundamental frequency. For the FIG. 3 resonator, the
ideal shift is f1 /2=166.97 Hz. For CCS resonators, the mode
shift fn -nf1 =0 for each mode by definition.
The resonator design of FIG. 3 does not provide ideal mode
shifts, but comes close enough to provide significant results.
This is due to the fact that the Fourier sum of the first few
harmonics contributes heavily to shock formation. Thus,
significant cancellation of the 2nd, 3rd, and 4th harmonics will
reduce shock formation greatly. When the resonator of FIG. 3 was
pressurized to 80 psia with gaseous refrigerant HFC-134a, 11.8
Watts of acoustic input power was required to achieve a 42 psia
peak-to-peak pressure amplitude (measured at end flange 4). This
is within 30% of the required driving power predicted by a
strictly linear theory which accounts for only thermal and
viscous boundary layer losses. At these operating conditions the
amplitude of the 2nd harmonic was 20 dB down from the
fundamental, with higher harmonics being down 30 dB or more.
FIG. 5 is a table of theoretical data which was generated for
the FIG. 3 resonator. Ideally, fn -nf1 should be approximately
equal to the ideal shift for each of the resonator modes.
However, it can be seen in FIG. 5 that the degree of mode
shifting increases with mode number. At the 6th mode, shifting
has increased so much that the mode frequency is now nearly
coincident with the 5th harmonic of the wave. With more advanced
resonator designs, many modes can be simultaneously tuned to lie
between the wave harmonics. As the number of properly tuned
modes increases, the resonator's linearity increases.
FIG. 6 is a sectional view of another resonator which was
constructed and tested. The resonator in FIG. 6 has a chamber
which is formed by a small diameter section 10, a conical
section 12, a large diameter section 14, a conical taper 16, and
an end flange 18. The chamber comprising the small diameter
section 10, the conical section 12, the large diameter section
14, and the conical taper 16 were all machined from a single
piece of aluminum. Aluminum end flange 18 was welded to conical
end taper 16. Small diameter section 10 has a length of 7.28 cm
and a diameter of 3.81 cm. Conical section 12 has a half-angle
of 25.63 DEG and an inside length of 3.72 cm. Large diameter
section 14 has an inside length of 13.16 cm and an inside
diameter of 7.38 cm. Conical taper 16 has a half-angle of 26.08
DEG and an inside length of 2.84 cm. Section 10 and section 14
divide the resonator into two sections of different
cross-sectional area, each section having its own acoustical
impedance. This design results in a downward shifting of the
resonator modes to non-harmonic frequencies.
The FIG. 6 resonator eliminates the tapered rod insert of FIG.
3, thereby reducing the internal surface area of the resonator,
which in turn reduces the thermal and viscous boundary layer
losses. The degree to which the modes are shifted can be
controlled by varying the dimensions of section 10, section 14,
conical section 12, and taper 16. Taper 16 compensates for
excessive downward shifting of the higher modes, by shifting
primarily the higher modes up in frequency. The manner in which
the resonator is driven is described below.
FIG. 7 and FIG. 8 are tables of the measured data and
theoretical data, respectively, for the resonator of FIG. 6. In
comparison with the FIG. 3 resonator, the FIG. 6 resonator has
improved the tuning of the 2nd, 3rd, and 4th modes, as well as
reduced the excessive shifting of higher modes. The FIG. 6
resonator brings the 2nd, 3rd, and 4th modes much closer to the
ideal shift, and results in improved performance.
When the resonator of FIG. 6 was pressurized to 80 psia, with
gaseous refrigerant HFC-134a, pressure amplitudes of up to 100
psi peak-to-peak (measured at an end 10a of small diameter
section 10) were achieved without shock formation. However,
turbulence was evident, indicating that the acoustic velocity
was high enough to cause non-laminar flow. As shown below,
resonator geometry can be altered to greatly reduce acoustic
velocity. At 60 psi peak-to-peak (measured at the end 10a of
small diameter section 10) all harmonics were more than 25 dB
down from the amplitude of the fundamental, for the FIG. 6
resonator.
In general, the modes of a given resonator geometry can be
calculated from the general solution of the wave equation
written for both pressure and velocity:
P(x)=Acos (kx)+Bsin (kx)
V(x)=i/(pc)(Acos (kx)+Bsin (kx))
where i=(-1)@1/2, p=average fluid density, c=speed of sound. The
arbitrary complex constants A and B are found by applying the
boundary conditions of the resonator to the above equations for
P(x) and V(x). Resonators embodying the present invention were
designed by iterating P(x) and V(x) in the frequency domain
across finite elements of the resonator, until zero velocity is
reached at the resonator's end. As demonstrated above, the
mid-harmonic placement of resonator modes provides one of many
ways to exploit the MACH principle. For more exact predictions
of harmonic cancellation, the harmonics can be treated as waves
traveling within the boundaries of the resonator, while
accounting for their self-interference. The goal of which is to
show harmonic self-cancellation as a function of changes in the
resonator geometry.
Importance
of the MACH Principle
It is revealing to compare the performance of MACH resonators
with that of CCS resonators which do not restrict shock
formation. As a comparison, consider the normal evolution to
shock formation which occurs as a finite amplitude wave
propagates. Using the method of Pierce, it is possible to
calculate the distance a 60 psi peak-to-peak pressure wave must
travel for a fully developed shock wave to evolve (Allan D.
Pierce, Acoustics, p. 571 (Acoustical Society of America 1989)).
For a mean pressure of 80 psia (in gaseous HFC-134a), the
waveform will evolve from a sinusoid to a shock after traveling
only 22 cm, which is less than one traverse of the 27 cm length
of the FIG. 6 resonator! From this it is easy to appreciate the
longstanding assumption that at extremely high amplitudes,
intrinsic nonlinearities of a gas will dominate any resonator
design considerations.
Other
Resonator Design Parameters
To efficiently create high amplitude resonant acoustic waves, it
is important to keep the resonator boundary layer viscous and
thermal losses as low as possible. Also, the acoustic velocity
associated with a desired pressure amplitude should be minimized
to avoid excessive turbulence.
For a pure sinusoidal standing wave in a resonator of constant
cross-sectional area, the peak acoustic velocity is equal to
P/(pc), where P.ident.peak acoustic pressure amplitude,
p.ident.average fluid density, and c.ident.speed of sound at the
average pressure. In practice, the peak acoustic velocity can be
decreased by the proper resonator geometry. For example, the
resonator of FIG. 6 has a peak acoustic velocity equal to
0.82(P/(pc)) (P being measured at the end 10a of small diameter
section 10), due to the expansion at the center of the chamber
provided by conical section 12. This increase in cross-sectional
area occurs just before the velocity maxima at the center of the
chamber, thereby lowering the acoustic velocity.
Expansions, like those of the FIG. 6 resonator, have other
advantages as well. When the acoustic velocity is reduced,
boundary layer viscous losses are reduced. Also, the expansion
reduces the peak acoustic pressure amplitude at end flange 18,
thereby reducing boundary layer thermal losses at this end of
the resonator. Similarly, the expansion provided by end taper 16
of FIG. 6 further reduces the boundary layer thermal losses.
When the position of an expansion, like conical section 12 of
FIG. 6, is varied along the length of the resonator, the
boundary layer thermal losses and the boundary layer viscous
losses will vary. It has been found theoretically that the sum
of these losses reaches a minimum when the expansion is centered
at approximately 0.3 of the length of the resonator.
In general, practical energy efficient resonator designs require
a compromise between mode tuning for harmonic cancellation,
minimizing acoustic velocity, and minimizing thermal and viscous
losses. FIG. 9 is a sectional view of a resonator which
represents one of a vast number of possible compromises between
these design parameters.
The FIG. 9 resonator chamber has a conical expansion section 20,
a curved expansion section 22, a curved end taper section 24,
and an end flange 28. Ports 21a, 21b, such as an inlet and
outlet or valves, are provided at an end 20a of the resonator.
Although not shown, such ports are also provided in the
resonators of FIGS. 3 and 6. The resonator chamber is preferably
formed by a low thermal conductivity material such as
fiberglass, since this will reduce the boundary layer thermal
losses. However, any material, such as aluminum, which can be
formed into a desired configuration can be used. The FIG. 9
resonator is similar in principle to the FIG. 6 resonator in its
method of modal tuning, except for the curved sections which
provide greater mode tuning selectivity. This selectivity is due
to the varying rate of change of cross-sectional area provided
by the curved sections, which is explained as follows. The
magnitude of frequency shift of a mode, caused by a given area
change, depends on which part of the standing wave pattern
encounters the area change. Each of the many superimposed
standing wave patterns in a resonator will encounter a fixed
area change at a different point along its wave pattern. Thus,
an area change which tunes one mode properly may cause
unfavorable tuning for another mode. Curved sections can provide
compensation for this unfavorable tuning by exposing different
modes to different rates of area change. The term "curved
section" is not intended to refer to a specific mathematical
surface. Rather, the term "curved section" is understood to mean
in general any section which provides a rate of change of area,
as a function of the longitudinal dimension, whose derivative is
non-zero. Any number of mathematical surfaces can be employed.
It is contemplated that one possible set of equations for the
curved expansion section 22 and curved end tapered section 24
could be as follows.
In FIG. 9 the constant diameter section at end 20a of the
resonator has an inner diameter of 2.54 cm and is 4.86 cm long.
Conical expansion section 20 is 4.1 cm long and has a 5.8 DEG
half-angle. Curved expansion section 22 is 3.68 cm long. To the
right of curved section 22, the diameter remains constant at
5.77 cm over a distance of 11.34 cm. Curved end taper 24 is 2.16
cm long. To the right of curved end taper 24, the diameter
remains constant at 13 cm over a distance of 0.86 cm. Curved
expansion section 22 was described in a finite element program
by the equation Dn =Dn-1 +0.00003(7+n), and curved end taper 24
was described by the equation Dn =Dn-1 +0.00038(n), where Dn
.ident. the diameter of the current element, and Dn-1 .ident.
the diameter of the previous element, and with each element
having a length 0.00108 meters.
FIG. 10 is a table of theoretical data for the FIG. 9 resonator,
which shows that the point at which modes and harmonics overlap
in frequency has been significantly extended to higher
frequencies.
The FIG. 9 resonator also reduces the acoustic velocity to a
value of 0.58 (P/(pc)) (P being measured at a small diameter end
20a of the resonator), which represents a significant reduction
in acoustic velocity for the desired pressure amplitude. In
addition, the FIG. 9 resonator reduces the total thermal and
viscous energy dissipation of the FIG. 6 resonator by a factor
of 1.50. Neglecting turbulent losses, the total rate of thermal
and viscous energy loss, at a given pressure amplitude, is equal
to the acoustic input power required to sustain that pressure
amplitude. Thus, reducing thermal and viscous energy losses will
increase energy efficiency.
Half-Peak
Entire-Resonator Driving
The odd modes of a resonator can be effectively driven by
mechanically oscillating the entire resonator along its
longitudinal axis. This is the preferred method used by the
resonators of the present invention. Although the resonators of
FIG. 3, FIG. 6, and FIG. 9 could be driven by coupling a moving
piston to an open-ended resonator, this approach has certain
disadvantages which are avoided by the entire resonator driving
method.
Entire resonator driving can be understood as follows. If the
entire resonator is oscillated along its longitudinal axis, then
the end caps will act as pistons. The odd mode pressure
oscillations at the two opposite ends of a double-terminated
resonator will be 180 DEG out of phase with each other.
Consequently, when the entire resonator is oscillated, its end
caps, or terminations, can be used to drive an odd mode in the
proper phase at each end of the resonator. In this way, the
fundamental mode can be effectively driven.
FIG. 11 is a sectional view of one of many approaches which can
be used to drive an entire resonator. In FIG. 11 an
electrodynamic shaker or driver 29 is provided, having a current
conducting coil 26 rigidly attached to end flange 28 of
resonator 34, and occupying air gap 30 of magnet 32. Magnet 32
is attached to end flange 28 by a flexible bellows 36. Bellows
36 maintains proper alignment of coil 26 within air gap 30.
When coil 26 is energized by an oscillating current, the
resulting electromagnetic forces will cause resonator 34 to be
mechanically oscillated along its longitudinal axis. Magnet 32
can be rigidly restrained so as to have infinite mass relative
to resonator 34. In the preferred embodiment, magnet 32 is left
unrestrained and thus free to move in opposition to resonator
34. In either case, an appropriate spring constant can be chosen
for bellows 36 to produce a mechanical resonance equal to the
acoustic resonance, resulting in higher electro-acoustic
efficiency. Bellows 36 could be replaced by other components
such as flexible diaphragms, magnetic springs, or more
conventional springs made of appropriate materials.
Entire resonator driving reduces the mechanical displacement
required to achieve a given pressure amplitude. When driving the
entire resonator, both ends of the resonator act as pistons. In
most cases, entire resonator driving requires roughly half the
peak mechanical displacement which would be needed for a single
coupled-piston arrangement.
Half-Peak Entire-Resonator (HPER) driving provides the following
advantages. As discussed above, the proper tuning of modes of a
chamber is critical to efficiently achieving high acoustic
pressure amplitudes. It follows that this tuning must remain
constant during operation. Resonators which are terminated on
both ends will maintain precise tuning during operation and
throughout the lifetime of the resonator.
A further advantage relates to the use of HPER driving for
acoustic compressors. Since HPER driven chambers are sealed,
there are no oil-dependant moving parts that come in contact
with the fluid being compressed; resulting in an inherently
oil-free compressor. The suction and discharge valves needed for
acoustic compressors would typically be placed at the narrow end
of a resonator, where the pressure amplitudes are the greatest.
For example, valve placement for the resonator of FIG. 9 would
be positioned at ports 21a, 21b at end 20a. The ratio of
pressure amplitudes at the two ends of the FIG. 9 resonator is
approximately 3:1 (left to right).
Non-Sinusoidal
Driving
As discussed above, a properly designed MACH chamber will cause
the higher harmonics of its fundamental to be self canceling.
For the same reason, a MACH chamber will tend to cancel out
harmonics which may be present in the driver's displacement
waveform. Thus, MACH chambers can convert a non-sinusoidal
driving displacement into a sinusoidal pressure oscillation. In
addition, any mechanical resonance present in a driver, like the
driver of FIG. 11, would tend to convert a non-sinusoidal
driving current into a sinusoidal displacement waveform.
In some applications, the use of non-sinusoidal driving signals
can result in greater overall efficiency. For example, the power
amplifiers needed for driving linear motors can be designed to
operate very efficiently in a pulsed output mode. Current pulses
can be timed to occur once every acoustic cycle or to skip
several acoustic cycles.
Another type of non-sinusoidal driving, which MACH chambers can
facilitate, is a fluid's direct absorption of electromagnetic
energy, as disclosed in U.S. Pat. No. 5,020,977, the entire
content of which is hereby incorporated by reference. Pulsed
microwave and infrared energy, when passed through an absorptive
fluid, will create acoustic waves in the fluid. This
electromagnetic-to-acoustic conversion will tend to result in
very harmonic-rich acoustic waves. MACH chambers will tend to
cancel the resulting harmonics, thereby promoting a sinusoidal
pressure oscillation. Electromagnetic pulses can be timed to
occur once per acoustic cycle, or to skip several acoustic
cycles.
Porous
Materials
Porous materials, such as sintered metals, ceramics, and wire
mesh screensare commonly used in the field of noise control.
Porous materials can provide acoustic transmission and refection
coefficients which vary as a function of frequency and acoustic
velocity. Properly placed within a resonator, these materials
can be used as an aid to mode tuning.
FIG. 12 is a sectional view of a resonator 34 illustrating one
of many possible uses of porous materials. In FIG. 12 a porous
material 38 is rigidly mounted near end flange 28 of resonator
34. Porous material 38 will have a minimal effect on the
fundamental of the resonator, whose acoustic velocity becomes
small near the surface of end flange 28. The higher modes of the
resonator can have velocity maxima near the position of porous
material 38. Thus, the higher harmonics of the wave can
experience larger reflection coefficients at the porous material
and be reflected so as to promote destructive self-interference.
Tuning can be adjusted by varying the position of porous
material 38 along the length of resonator 34.
In this way, a porous material can be used as an aid in
optimizing the destructive self-interference of harmonics. The
design flexibility provided by porous materials allows more
aggressive optimization of specific resonator parameters, such
as reducing the fundamental's acoustic velocity, without losing
the desired mode tuning.
For microwave driven resonators, porous material 38 could also
act together with end flange 28 to form a microwave cavity for
the introduction of microwave energy into resonator 34. FIG. 12
illustrates an electromagnetic driver 39 coupled to the
resonator 34 by a coaxial cable 41 having a loop termination 41a
inside the resonator 34 in the area between the porous material
38 and end flange 28. The microwave energy would be restricted
to the area between porous material 38 and end flange 28.
FIG. 13 is a sectional view of resonator 34 and drive apparatus
29 as used in a heat exchange system. In this case, ports 34a
and 34b of resonator 34 are connected to a heat exchange
apparatus 45 via conduits 47 and 49. Port 34a is provided with a
discharge valve 52, and port 34b is provided with a suction
valve 54. Discharge valve 52 and suction valve 54 will convert
the oscillating pressure within resonator 34, into a net fluid
flow through heat exchange apparatus 45. The heat exchange
apparatus may include, for example, a conventional condenser and
evaporator, so that the heat exchange system of FIG. 13 may form
a vapor-compression system.
While the above description contains many specifications, these
should not be construed as limitations on the scope of the
invention, but rather as an exemplification of one preferred
embodiment thereof. This preferred embodiment is based on my
recognition that acoustic resonators can provide significant
self-cancellation of harmonics, thereby providing extremely high
amplitude acoustic waves without shock formation. The invention
is also based on my recognition that other nonlinearities
associated with finite amplitude waves, such as turbulence and
boundary layer losses, can be reduced by proper resonator
design.
Application of the MACH principle can provide nearly complete
cancellation of wave harmonics. However, the present invention
is not limited to resonators which provide complete
cancellation. As shown in the above specifications, cancellation
of a harmonic need not be complete to obtain shock-free high
amplitude acoustic waves. Nor do all harmonics need to be
canceled. There is a continuous range of partial harmonic
cancellation which can be practiced. Harmonics can be present
without shock formation, as long as their amplitudes are
sufficiently small. Resonators which cancel one, two, or many
harmonics could all be considered satisfactory, depending on the
requirements of a particular application. Thus, the scope of the
invention is not limited to any one specific resonator design.
There are many ways to exploit the basic features of the present
invention which will readily occur to those skilled in the art.
For example, shifting resonator modes to the midpoint between
adjacent harmonics is only one of many ways to exploit the MACH
principle. Resonator modes can be shifted to any degree as long
as adequate self-destructive interference is provided for a
given application.
In addition, many different resonator geometries can support
standing waves and can be tuned to exploit the MACH principle.
For example, a toroidal resonator can be tuned by using methods
similar to the embodiments of the present invention. Although
the present specification describes resonators whose modes are
shifted down in frequency, similar resonator designs can shift
modes up in frequency. For example, if the diameters of section
10 and section 14 in FIG. 6 are exchanged, then the resonator's
modes will be shifted up in frequency rather than down.
Furthermore, resonators can be designed to operate in resonant
modes other than the fundamental, while still exploiting the
MACH principle. Still further, the shock suppression provided by
MACH resonators will occur for both liquids and gases.
Also, it is understood that the application of MACH resonators
to acoustic compressors is not limited to vapor-compression heat
transfer systems, but can be applied to any number of general
applications where fluids must be compressed. For example, there
are many industrial applications where oil-free compressors are
required in order to prevent contamination of a fluid. Finally,
many different drivers can be used with HPER driven resonators.
For example, electromagnetic and piezoceramic drivers can also
provide the forces required for entire resonator driving. In
short, any driver that mechanically oscillates the entire
resonator and provides the required forces can be used.
Accordingly, the scope of the invention should be determined not
by the embodiments illustrated, but by the appended claims and
their equivalents.
US5515684
Resonant Macrosonic Synthesis
Abstract -- An acoustic resonator includes a chamber containing
a fluid. The chamber has anharmonic resonant modes and provides
boundary conditions which predetermine the harmonic phases and
amplitudes needed to synthesize a non-sinusoidal, unshocked
waveform.
1) Field of
Invention
This invention relates to acoustic resonators which are designed
to provide the specific harmonic phases and amplitudes required
to predetermine the waveform of extremely large acoustic
pressure oscillations, having specific applications to acoustic
compressors.
2)
Description of Related Art
It is well known in the field of acoustics that when acoustic
pressure amplitudes are finite compared to the medium's
undisturbed ambient pressure, the resulting nonlinear effects
will generate sound waves at harmonics of the fundamental
frequency. We will hereafter refer to these nonlinearly
generated sound waves as harmonics.
For both traveling and standing waves, the presence of high
amplitude harmonics is associated with the formation of shock
waves, which severely limit a wave's peak-to-peak pressure
amplitude. Shock formation requires harmonic amplitudes that are
significant relative to the amplitude of the sound wave at the
fundamental frequency. We will hereafter refer to these as high
relative amplitude harmonics.
For finite amplitude traveling waves, the harmonic relative
amplitudes will depend primarily on the nonlinear properties of
the medium. For finite amplitude standing waves occurring in a
resonant cavity the harmonic relative amplitudes will likewise
depend on the medium, but also are strongly influenced by the
resonator's boundary conditions. The boundary conditions of the
resonator are determined by the geometry of the walls and by the
acoustical properties of the wall material and the fluid in the
resonator.
As explained in U.S. Pat. No. 5,319,938, acoustic resonators can
now be designed which provide very large and nearly sinusoidal
pressure oscillations. FIG. 1 shows the waveform of a sinusoidal
pressure wave. A sinusoidal wave is pressure symmetric implying
that P+ = P- , where P+ and P- are the maximum positive and
negative pressure amplitudes respectively. If a sinusoidal
pressure oscillation is generated in a resonator having an
ambient pressure P0, then (P0 + P+ ) cannot exceed 2P0, since
otherwise the pressure symmetry would require that (P0 - P- ) be
less than zero absolute, which is impossible. Thus, the maximum
peak-to-peak pressure a sinusoidal oscillation can provide is
2P0. This ignores any changes in the ambient pressure caused by
nonlinear processes driven by the acoustic pressures.
The '938 patent provides shock-free waves by preventing
formation of high relative amplitude harmonics. However, there
are acoustic resonator applications where the resulting
sinusoidal waveforms present a limitation. For example,
resonators used in acoustic compressors must at times provide
compressions requiring P+ to be larger than P0 by a factor of 3
or more. An acoustic compressor used in low-temperature
Rankine-cycle applications may require P+ to exceed 215 psia for
a P0 of only 70 psia. The acoustic wave needed to fit these
conditions would require an extreme pressure asymmetry (about
the ambient pressure P0) between P- and P+.
Previously, the generation of resonant pressure-asymmetric waves
presented specific unsolved problems. For a waveform to deviate
significantly from a sinusoid, it must contain high relative
amplitude harmonics. These harmonics would normally be expected
to lead to shock formation, which can critically limit
peak-to-peak pressure amplitudes as well as cause excessive
energy dissipation.
Resonant acoustic waves have been studied theoretically and
experimentally. With respect to the present invention, these
studies can be grouped into two categories: (i) harmonic
resonators driven off-resonance, and (ii) anharmonic resonators
driven on-resonance.
A resonator is defined as "harmonic" when it has a set of
standing wave mode frequencies that are integer multiples of
another resonance frequency. For the following discussions only
longitudinal resonant modes are considered. Harmonically tuned
resonators produce shock waves if finite amplitude acoustic
waves are excited at a resonance frequency. For this reason
harmonic resonator studies which examine non-sinusoidal,
non-shocked waveforms focus primarily on waveforms produced at
frequencies off-resonance. Driving a resonator off-resonance
severely limits the peak-to-peak pressure amplitudes attainable.
The following references are representative of the harmonic
resonator studies: (W. Chester, "Resonant oscillations in closed
tubes," J. Fluid Mech. 18, 44-64 (1964)), (A. P. Coppens and J.
V. Sanders, "Finite-amplitude standing waves in rigid-walled
tubes," J. Acoust. Soc. Am. 43, 516-529 (1968)), (D. B.
Cruikshank, Jr., "Experimental investigations of
finite-amplitude acoustic oscillations in a closed tube," J.
Acoust Soc. Am. 43, 1024-1036 (1972)) and (P. Merkli, H. Thoman,
"Thermoacoustic effects in a resonance tube," J. Fluid Mech. 70,
1161-177 (1975))
A resonator is defined as "anharmonic" when its does not have a
set of standing wave mode frequencies that are integer multiples
of another resonance frequency. Studies of anharmonic resonators
driven on-resonance are usually motivated by applications in
which the elimination of high relative amplitude harmonics is
necessary. For example, thermoacoustic engine resonators require
high amplitude sine waves, and thus are designed for the
greatest possible reduction of harmonic amplitudes. An example
of such a study can be found in the work of D. Felipe Gaitan and
Anthony A. Atchley (D. F. Gaitan and A. A. Atchley, "Finite
amplitude standing waves in harmonic and anharmonic tubes," J.
Acoust. Soc. Am. 93,2489-2495 (1993)).
Gaitan and Atchley provide anharmonic resonators by using
geometries with sections of different diameter. The area changes
occurred over a distance that was small compared to the length
of the resonator. As explained in U.S. Pat. No. 5,319,938 this
approach tends to provide significant suppression of the wave's
harmonics, thus providing sinusoidal waveforms.
In summary, those resonators driven on-resonance at finite
amplitudes either produced sinusoidal waves or shock waves.
Resonators driven off-resonance resulted in very low
peak-to-peak pressure amplitudes.
The ability to provide high peak-to-peak pressure amplitude,
non-sinusoidal, unshocked waves of a desired waveform would
represent a significant advance for high compression acoustic
resonators. Such waveforms require high relative amplitude
harmonics to exist when the resonator is excited at a resonant
frequency.
Consequently, there exists a need for resonators that can
synthesize unshocked waveforms at high pressure amplitudes.
SUMMARY OF
THE INVENTION
It is an object of the present invention to provide acoustic
resonators whose boundary conditions maintain the predetermined
harmonic phases and amplitudes needed to synthesize a desired
waveform.
A further object of the present invention is to provide acoustic
resonators whose boundary conditions are designed to exploit the
relative phases of harmonics as a means to dramatically extend
the pressure amplitude shock-limit normally associated with high
relative amplitude harmonics.
A still further object of the present invention is to provide
extremely high-amplitude pressure-asymmetric waves at resonance.
The acoustic resonator of the present invention includes a
chamber containing a fluid. A chamber's geometry, as well as the
acoustic properties of the chamber wall material and the fluid,
creates the boundary conditions needed to produce the harmonic
phases and amplitudes of a predetermined waveform. The chambers
have a continuously varying cross-sectional area in order to
avoid turbulence due to high acoustic particle velocities, and
in order to allow high relative amplitude harmonics.
The acoustic resonators of the invention can be used in acoustic
compressors to provide large compressions for various
applications, such as heat exchange systems.
As described above, the acoustic resonators of the present
invention provide a number of advantages and can achieve
peak-to-peak acoustic pressure amplitudes which are many times
higher than the medium's ambient pressure. In particular, it is
a surprising advantage that these extremely high amplitude
pressure oscillations, which have precisely controlled
waveforms, can be provided with very simple resonator
geometries.
These and other objects and advantages of the invention will
become apparent from the accompanying specifications and
drawings, wherein like reference numerals refer to like parts
throughout.
BRIEF
DESCRIPTION OF THE DRAWINGS
FIG. 1 is a graphical representation of the absolute
peak-to-peak pressure amplitude limit for a sine wave;
FIG. 2 is a graphical representation of the mode
frequencies and harmonic frequencies for a harmonically tuned
resonator;
FIG. 3 is a graphical representation of the waveforms
produced within a harmonically tuned resonator, when the drive
frequency is varied about the fundamental resonance;
FIGS. 4A-4C is a graphical representation of the relative
harmonic phases corresponding to the three waveforms shown in
FIG. 3;
FIG. 5 is a sectional view of a resonator which provides
a stepped impedance change;
FIG. 6 is a sectional view of a resonator which provides
a partially distributed impedance change;
FIG. 7 is a sectional view of a resonator in accordance
with the present invention which employs a distributed
impedance change geometry for producing asymmetric positive
waveforms;
FIG. 8 provides theoretical and experimental data for the
resonator shown in FIG. 7;
FIG. 9 is a sectional view of a resonator in accordance
with the present invention which employs a distributed
impedance change geometry for altering the harmonic amplitudes
of the resonator in FIG. 7;
FIG. 10 provides theoretical and experimental data for
the resonator shown in FIG. 9;
FIG. 11 is a sectional view of a resonator in accordance
with the present invention which employs a distributed
impedance change geometry for producing asymmetric negative
waveforms;
FIG. 12 provides theoretical data for the resonator shown
in FIG. 11;
FIG. 13 is a sectional view of a resonator in accordance
with the present invention which employs a distributed
impedance change geometry for producing asymmetric negative
waveforms;
FIG. 14 provides theoretical and experimental data for
the resonator shown in FIG. 13;
FIGS. 15A and 15B are sectional views of a resonator in
accordance with the present invention which is employed in an
acoustic compressor; and
FIG. 16 is a sectional view of a resonator in accordance
with the invention shown within a compressor/evaporation
system.
DETAILED
DESCRIPTION OF THE PREFERRED EMBODIMENTS
Anharmonic resonators having localized impedance changes
As described in U.S. Pat. No. 5,319,938, anharmonic resonators
with abrupt changes in cross sectional area will significantly
reduce the relative amplitudes of the harmonics. These abrupt
changes in area introduce a localized acoustic impedance change
within the resonator. An example of an abrupt impedance change
is shown in FIG. 5, where a resonator 2 is formed by joining a
large diameter section 4 to a small diameter section 6. This
abrupt change in cross sectional area creates an impedance step
8, which is highly localized with respect to the resonator's
length.
Since localized impedance change (LI hereafter means Localized
Impedance change) resonators tend to maintain harmonics at low
relative amplitude, the waveform remains substantially
sinusoidal.
Anharmonic
resonators having distributed impedance changes
The preferred embodiment of the present invention includes a
resonator having a distributed impedance change (DI hereafter
means Distributed Impedance change). Unlike LI resonators, DI
resonators can easily allow high relative amplitude harmonics to
exist.
The resonators shown in FIGS. 5, 6, 7, 9, 11 and 13 illustrate
the differences between LI and DI resonators. FIG. 6 shows a
resonator 10 which is reproduced from FIG. 6 of U.S. Pat. No.
5,319,938. Resonator 10 includes conical section 16 which joins
large diameter section 12 to small diameter section 14. Unlike
the resonator of FIG. 5, this change in cross sectional area is
not completely localized, but is partially distributed. This
partially distributed area change results in a partially
distributed impedance change, which occurs along the length of
conical section 16.
Here, and throughout, the term partially distributed is used to
imply less than the entire length of the resonator. The terms LI
and DI are not used to imply a specific extent of distribution.
For example, between the LI resonator of FIG. 5 and the fully DI
resonators of FIGS. 7, 9, 11 and 13 there exists a continuum of
partially DI resonators. Thus, the present invention's scope is
not limited to a specific degree of distributed impedance.
Conversely, the scope of the invention includes the employment
of the specific distributed impedance required by a given
application or desired waveform.
The resonators shown in FIGS. 7, 9, 11 and 13 provide
embodiments of the present invention which avoid abrupt area
changes in order to provide high amplitude harmonics. When
compared at the same fundamental amplitude, the present
invention's resonators can provide higher amplitude harmonics
than the more abrupt area change resonators shown in FIGS. 5 and
6.
Due to their comparatively low relative amplitude harmonics, the
resonators of FIGS. 5 and 6 would need much higher fundamental
amplitudes to generate the relative harmonic amplitudes needed
to cause an appreciable change in the waveform. However, the
excessive turbulence caused by abrupt area changes makes higher
fundamental amplitudes extremely difficult and inefficient to
achieve.
For example, when the resonator of FIG. 6 has an average
pressure P0 of 85 psia and a peak-to-peak pressure amplitude of
60 psi, all harmonic amplitudes are at least 25 dB below the
fundamental, resulting in a nearly sinusoidal waveform. At
peak-to-peak pressures of 60 psi and above, turbulence begins to
dominate the performance, as evidenced by high-amplitude
high-frequency noise riding on the fundamental, and by excessive
power consumption.
In order to avoid turbulence at the design conditions the
preferred embodiment of the present invention includes
resonators having a radius r and an axial coordinate z, where
dr/dz is continuous wherever particle velocities are high enough
so as to otherwise cause turbulence due to the discontinuity.
The preferred embodiment also avoids excessive values of d@2
r/dz@2 where particle velocities are high, in order to prevent
turbulence which would otherwise occur as a result of excessive
radial fluid accelerations.
Harmonic
phase within harmonic resonators
In order to provide some helpful insight into the resonators of
the present invention it is instructive to first examine the
simpler case of harmonic resonators.
Within harmonic resonators, harmonic phases have a strong but
predictable frequency dependence when the drive frequency is in
the vicinity of a mode frequency, as shown in the literature
(see for example, W. Chester, Resonant oscillations in closed
tubes, J. Fluid Mech. 18, 44-64 (1964)).
These effects are considered for harmonics 1-5 as follows for
the example of a harmonic resonator driven at frequencies very
close to a mode frequency. FIG. 2 illustrates the case of a
perfectly harmonic cylindrical resonator for three drive
frequencies: f1 below, f2 equal to and f3 above the resonance
frequency of mode 1. The bottom horizontal axis indicates the
resonance frequencies of the first five modes of the resonator
(denoted by the vertical lines at 100, 200, 300, 400 and 500
Hz). The three horizontal lines with superposed symbols provide
axes for the wave's fundamental and associated lower harmonics
(denoted by the symbols) at drive frequencies f1, f2 and f3.
The frequency-dependent harmonic phase relationships can be
qualitatively demonstrated by the following:
where E(t) is the acoustic pressure(which adds to the ambient
pressure P0), An is the amplitude of each harmonic n, f is the
##EQU1## fundamental (or drive) frequency of the acoustic wave
and .phi.n is the frequency-dependent phase of each harmonic n.
FIG. 3 provides the resulting waveforms, as measured at either
end of the cylindrical resonator, for the three drive
frequencies f1, f2 and f3 of FIG. 2. All of the drive
frequencies f are near the lowest resonance frequency of the
resonator. For this example, the amplitudes of the fundamental
and harmonics are given by An =1/n for each of the three
waveforms (note that this ignores any frequency dependence that
An may have). In FIG. 3, time is the horizontal axis and
pressure is the vertical axis, where P0 is the ambient pressure
of the medium.
Referring to FIG. 2, drive frequency f1 is below the mode 1
frequency, causing the frequency of harmonic n (nf1) to fall
between the frequencies of modes n-1 and n. The resulting
fundamental and harmonic phases are .phi.n =-90 DEG for each n.
The pressure waveform is calculated using Equation 1 and is
denoted by f1 in FIG. 3. This waveform is referred to as
asymmetric negative (AN), since P- > P+ .
Drive frequency f2 in FIG. 2 is equal to the mode 1 frequency,
causing the frequency of harmonic n to be equal to the frequency
of mode n. The resulting fundamental and harmonic phases are
.phi.n =0 DEG for each n. The pressure waveform is denoted by f2
in FIG. 3, where the wave is shocked and P+ = P- .
Drive frequency f3 in FIG. 2 is greater than the mode 1
frequency but less than the mode 2 frequency, causing the
frequency of harmonic n to fall between the frequencies of modes
n and n+1. The resulting fundamental and harmonic phases are
.phi.n =90 DEG for each n. The pressure waveform is denoted by
f3 in FIG. 3, and is referred to as asymmetric positive (AP),
since P+ > P- .
The relative phases of the first three harmonics (with
frequencies f, 2f and 3f) for each waveform shown in FIG. 3 are
demonstrated in FIGS. 4A-4C. Note that the amplitude of each
harmonic has been normalized. For different phase angles .phi.n
the relative positions in time of each harmonic component of a
wave change.
When the harmonic resonator's drive frequency is swept up
through the lowest resonance frequency the phases .phi.n sweep
from -90 DEG through 0 DEG (at resonance) to +90 DEG taking a
continuum of values within the range. Note that as the drive
frequency f is swept through the resonance frequency of mode
n=1, each harmonic frequency nf will be swept through the
resonance frequency of the nth mode. Phases .phi.n between -90
DEG and 0 DEG will produce AN waves, and phases .phi.n between 0
DEG and +90 DEG will produce AP waves. When .phi.n =.±.90 DEG
the waveforms will be symmetric in time like f1 and f3 of FIG.
3, and when -90 DEG<.phi.n <+90 DEG, the waveforms will be
asymmetric in time. As the .phi.n approach 0 from a value of
.±.90 DEG, the waveforms become progressively more time
asymmetric as they evolve towards a sawtooth waveform (i.e., a
shockwave). For simplicity, nonlinear effects which cause the
resonance frequencies to change (such as hardening or softening
nonlinearities) are not considered in the previous example.
Another effect that has been ignored is that, as the phases
.phi.n approach 0 DEG, the relative amplitudes of the harmonics
will increase.
The above example of the behavior of a harmonic resonator gives
some insight into how pressure waveforms can be altered by
changing the phases of the harmonics. The present invention
exploits the phenomenon of variable harmonic phase in anharmonic
resonators driven on resonance by altering the resonator's
boundary conditions.
Phase
determination in anharmonic resonators
In creating the resonator boundary conditions needed to control
both harmonic phase and amplitude, the present invention
provides a means to synthesize a desired waveform over a wide
range of acoustic pressure amplitudes. This new capability is
referred to as Resonant Macrosonic Synthesis (RMS).
The so-called pressure amplitude "shock-limit" is commonly
associated with high relative amplitudes of the harmonics. RMS
demonstrates that shock formation is more precisely a function
of harmonic phase. The present invention exploits the ability to
alter the phase of the harmonics, thereby dramatically extending
the shock-limit to permit heretofore unachievable pressure
amplitudes.
Some insight into the significance of phase variations can be
gained in reference to FIGS. 3 and 4A-4C. The fundamental and
harmonic amplitudes (An of Equation 1) of f2 and f3 are the
same. By changing only the harmonic phase, f2 experiences a 30%
increase in peak-to-peak pressure amplitude. In practice, the
gain in the maximum possible pressure amplitude will be much
greater. When the phases of the harmonics are changed from 0 DEG
to +90 DEG, the classic shock is removed and the power once
dissipated due to the shock front can contribute to much higher
pressure amplitudes.
As shown in FIGS. 2, 3 and 4A-4C, the frequency dependence of
the phases of the harmonics seen in harmonic resonators is
predictable, and uniformly imparts a phase shift of like sign to
the lower harmonics of the fundamental. This phase shift (and
the resulting waveform change) occurs as the resonator is swept
through resonance. The anharmonic resonators of the present
invention are designed to give a desired waveform (determined by
the harmonic amplitudes and phases) while running at a resonance
frequency. Even though the mode-harmonic proximities of
anharmonic resonators are fixed (while the drive frequency is
kept equal to a resonance frequency), phase and amplitude
effects similar to those of harmonic resonators still exist.
These effects are exploited in the design of the boundary
conditions (determined by the geometry of the walls and by the
acoustical properties of the wall material and fluid in the
resonator) of the present invention, whereby different phases
and relative amplitudes can be imparted to individual harmonics
as required for a desired waveform.
In the following embodiments, only the fundamental (of frequency
f, where f is the drive frequency) and harmonics 2 (of frequency
2f) and 3 (of frequency 3f) are considered. The greater a
harmonic's relative amplitude the greater its potential effect
on the net waveform. The nonlinear processes through which
energy is transferred to higher harmonics tend to result in
harmonics that diminish in amplitude as the number of the
harmonic rises. Thus, a fairly accurate representation of the
final waveform can be achieved by considering the fundamental
and harmonics 2 and 3. In practice, the same analytical methods
used to determine the amplitude and phase of harmonics 2 and 3
can be extended to harmonics 4 and higher, in order to determine
their impact on the net waveform.
Specific mechanical means for providing the driving power to the
following embodiments of the present invention are described in
U.S. Pat. Nos. 5,319,938 and 5,231,337 the entire contents of
which are hereby incorporated by reference. The driving method
used in FIGS. 5, 6, 7, 9, 11 and 13 assumes a resonator having
reflective terminations at each end, which is oscillated
(driven) along its cylindrical axis at the frequency of a mode.
Alternatively, a resonator can be driven by replacing one of the
reflective terminations with a vibrating piston. Drive power can
also be thermally delivered, as in the case of a thermoacoustic
prime mover (as in U.S. Pat. Nos. 4,953,366 and 4,858,441) or by
exploiting a fluid's periodic absorption of electromagnetic
energy as in U.S. Pat. No. 5,020,977. Detail driving methods are
omitted in the following discussions and drawings for
simplicity, although FIGS. 15A, 15B and 16 show block diagrams
of a driver connected to drive a resonator which is also
connected to a flow impedance.
For an anharmonic resonator it is difficult to predict a
harmonic's phase merely by its proximity to a given resonant
mode. However, the harmonic phases and other properties of the
resonator can be predicted with existing analytical methods.
Such properties can include the particle velocity, resonant mode
frequencies, power consumption, resonance quality factor,
harmonic phases and amplitudes and resulting waveforms.
Determination of the acoustic field inside a resonator depends
on the solution of a differential equation that describes the
behavior of a fluid when high amplitude sound waves are present.
One nonlinear equation that may be used is the NTT wave equation
(J. Naze Tj.phi.tta and S. Tj.phi.tta, "Interaction of sound
waves. Part I: Basic equations and plane waves," J. Acoust. Soc.
Am. 82, 1425-1428 (1987)), which is given by ##EQU2## where the
coefficient of nonlinearity is defined by .beta.=1+B/2A. The
Lagrangian density L is defined by: ##EQU3## The variable p is
the acoustic pressure; u is the acoustic particle velocity; t is
time; x, y, and z are space variables; c0 is the small signal
sound speed; .rho.0 is the ambient density of the fluid; B/2A is
the parameter of nonlinearity (R. T. Beyer, "Parameter of
nonlinearity in fluids," J. Acoust Soc. Am. 32, 719-721 (1960));
and .delta. is referred to as the sound diffusivity, which
accounts for the effects of viscosity and heat conduction on a
wave propagating in free space (M. J. Lighthill, Surveys in
Mechanics, edited by G. K. Batchelor and R. M. Davies (Cambridge
University Press, Cambridge, England, 1956), pp. 250-351).
For the embodiments of the present invention described in FIGS.
8, 10, 12 and 14 the theoretical values are predicted by
solutions of Equation 2. The solutions are based on a lossless
(.delta.=0) version of Equation 2 restricted to one spatial
dimension (z). Losses are included on an ad hoc basis by
calculating thermoviscous boundary layer losses (G. W. Swift,
"Thermoacoustic engines," J. Acoust. Soc. Am. 84, 1145-1180
(1988)).
The method used to solve Equation 2 is a finite element
analysis. For each finite element the method of successive
approximations (to third order) is applied to the nonlinear wave
equation described by Equation 2 to derive linear differential
equations which describe the acoustic fields at the fundamental,
second harmonic and third harmonic frequencies. The coefficient
of nonlinearity .beta. is determined by experiment for any given
fluid. The analysis is carried out on a computer having a
central processing unit and program and data memory (ROM and RAM
respectively). The computer is programmed to solve Equation 2
using the finite element analysis described above. The computer
is provided with a display in the form of a monitor and/or
printer to permit output of the calculations and display of the
waveform shapes for each harmonic.
The comparisons of theory and experiment shown for the
embodiments of the present invention in FIGS. 8, 10, 12 and 14
reveal good agreement between predicted and measured data. More
accurate mathematical models may be developed by solving
Equation 2 for 2 or 3 spatial dimensions. Also, a more exact
wave equation can be used (Equation 2 is exact to quadratic
order in the acoustic pressure).
For the embodiments of the present invention described in the
remainder of this section the solutions of Equation 2 are used
to provide predictions of harmonic phase and amplitude. The
simple concepts developed for illustration in the previous
section for harmonic resonators (i.e., the relative position of
modes and harmonics in the frequency domain) are considered as
well and are shown not to be uniformly valid.
First, a simple embodiment of the present invention which will
provide AP waves is considered. Referring to FIGS. 2 and 3, the
phases which provided AP wave f3 were obtained by placing the
frequencies of the lower harmonics (nf) between the frequencies
of modes n and n+1. Similar mode-harmonic proximities can exist
in anharmonic resonators which provide AP waves.
Anharmonic DI resonator 22 of FIG. 7 provides an on-resonance AP
wave. Resonator 22 is formed by a conical chamber 24 which has a
throat flange 26 and a mouth flange 28. The two open ends of
conical chamber 24 are rigidly terminated by a throat plate 30
and a mouth plate 32, fastened respectively to throat flange 26
and mouth flange 28. The axial length of chamber 24 alone is
17.14 cm and the respective chamber inner diameters at the
throat (smaller end) and mouth (larger end) are 0.97 cm and
10.15 cm.
FIG. 8 shows the calculated design phases and pressure
distributions along the axial length L of resonator 22 for the
fundamental and 2nd and 3rd harmonics, e.g., graphs (a), (b) and
(c) respectively. Also shown is the net pressure waveform, graph
(d), obtained by the summation in time (using Equation 1) ) of
the fundamental, 2nd and 3nd harmonics with the proper phases
.phi.n and amplitudes An at the throat end (z=0) of resonator 22
using Equation 2. For comparison is the waveform, graph (e),
constructed from the amplitudes and phases of the fundamental
and 2nd and 3rd harmonics measured when the resonator was
charged with HFC-134a to a pressure of 85 psia. As in the case
of an AP wave in a harmonic resonator the frequencies of the
lower harmonics (nf) are between the frequencies of modes n and
n+1.
When a 7/4 scaled-up version of resonator 22 was pressurized to
85 psia with HFC-134a, waveforms were generated with acoustic
particle velocities above MACH 1 and associated peak-to-peak
pressure oscillations above 400 psi.
DI resonators, like resonator 22 of FIG. 7, can provide AP waves
which are useful in Rankine-cycle applications, as discussed
above. Other applications may require different wave properties.
For example, a given application may require keeping P+ constant
and increasing P- by 25% while reducing power consumption.
Anharmonic resonator 34 of FIGS. 9 and 10 provides one of the
many possible approaches to meet the design requirements of
increased P- and reduced power consumption. Using resonator 22
as a starting point, we can see from the (+90 DEG ) curves in
FIG. 4 that reducing the 2nd harmonic amplitude will increase P-
if phase remains unchanged. Alternatively, increasing the 3nd
harmonic amplitude will increase P- . As shown in FIG. 8,
conical resonator 22 allows very high relative amplitude
harmonics to exist. In order to alter the harmonic amplitudes, a
change in the boundary conditions of conical resonator 22 is
required, such as making d@2 r/dz@2 non-zero at some point.
Resonator 34 of FIG. 9 provides an appropriate boundary
condition change and is formed by a chamber 36 having a curved
section 38, a conical section 40, a throat flange 42 and a mouth
flange 44. Resonator 34 is rigidly terminated by a throat plate
46 and a mouth plate 48. The axial length of chamber 36 alone is
17.14 cm and the mouth inner diameter is 10.15 cm. Curved
section 38 is 4.28 cm long, and its diameter as a function of
axial coordinate z is given by: ##EQU4## where z is in meters,
m=33.4 and Dth =0.097 m.
FIG. 10 shows the calculated design data for resonator 34,
(graphs (a)-(d)) including the waveform constructed from
measured data (graph (e)) for a 85 psia charge of HFC-134a. The
relative amplitude of the 2nd harmonic has been reduced from
0.388 for resonator 22 (29.2 psi for the second harmonic divided
by 75.3 psi for the fundamental), to 0.214 psi for resonator 34
(18.88 psi divided by 88.02 psi). This reduction in 2nd harmonic
leads to a 25% increase in P- . Power consumption has also been
reduced.
Another simple embodiment of the present invention is anharmonic
DI resonator 50, which is designed to provide AN waves.
Resonator 50 is formed by a curved chamber 52, having a throat
flange 54 and a mouth flange 56. The two open ends of curved
chamber 52 are rigidly terminated by a throat plate 58 and a
mouth plate 60, fastened respectively to throat flange 54 and
mouth flange 56. The axial length of chamber 52 alone is 24.24
cm and the mouth inner diameter is 9.12 cm. The inner diameter
of chamber 52, as a function of axial coordinate z, is given by:
D(z)=0.0137+0.03z+20z@4
where z is in meters, and z=0 is at the throat (amaller) end of
the chamber. FIG. 12 shows the calculated design data for
resonator 50. The calculated time waveform shows the desired AN
symmetry, which results from the -90 DEG phase of the 2nd
harmonic. Referring to FIGS. 2, 3 and 4A-4C, the phases which
produced AN wave f1 for a harmonic resonator were obtained by
placing frequencies nf of the harmonics between the frequencies
of modes n-1 and n. Anharmonic DI resonator 50 of FIGS. 11 and
12, which produces AN waves, also has harmonic frequencies nf
between the frequencies of modes n-1 and n for n=2 and 3.
In the anharmonic resonators 22 and 50 of FIGS. 7 and 11
respectively, AP and AN waves were provided. In both cases, the
simple concepts illustrated for harmonic resonators which relate
harmonic phase to the relative position in the frequency domain
of harmonics and modes were also valid for the anharmonic
resonators. While these simple cases help to provide some
insight, the simple concepts illustrated for harmonic resonators
are not always valid for anharmonic resonators and are not
sufficiently sophisticated to realize the present invention's
potential. Rigorous mathematical models such as the one based on
Equation 2 are best suited to the design of the present
invention.
For example, a resonator's modes need not be shifted up in
frequency, as in resonator 50, in order to provide AN waves.
FIGS. 13 and 14 show a resonator 62 whose modes are shifted down
in frequency, similar to resonator 22. Unlike resonator 22,
which produces AP waves, resonator 62 provides AN waves.
Resonator 62 is formed by a curved chamber 64, having a throat
flange 66 and a mouth flange 68. The two open ends of curved
chamber 64 are rigidly terminated by a throat plate 70 and a
mouth plate 72, fastened respectively to throat flange 66 and
mouth flange 68. The axial length of chamber 64 alone is 24.24
cm. The inner diameter of chamber 64, as a function of axial
coordinate z, is given by: ##EQU5## where z is in meters and the
coordinate origin is at the throat open end of the resonator 62.
FIG. 14 shows the calculated design data for resonator 62,
including the waveform constructed from data measured when
resonator 62 was charged with HFC-134a to a pressure of 85 psia.
The desired AN wave symmetry, which results from the -90 DEG 2nd
harmonic phase is present for the theoretical and measured
waveforms.
The resonators of the present invention are ideal for use in
acoustic compressors. Acoustic compressors and their various
valve arrangements are discussed in U.S. Pat. Nos. 5,020,977,
5,167,124 and 5,319,938, the entire contents of which are hereby
incorporated by reference. In general, acoustic compressors can
be used for many applications. Some examples include the
compression or pumping of fluids or high purity fluids, heat
transfer cycles, gas transport and processing and energy
conversion.
FIGS. 15A and 15B illustrate an acoustic compressor in a closed
cycle, which uses a resonator of the present invention. In FIG.
15A, resonator 74 has a throat flange 76 and a mouth flange 78.
Resonator 74 is rigidly terminated by a mouth plate 80 fastened
to mouth flange 78. A valve head 82 is attached to throat flange
76 and has a discharge valve 84 and a suction valve 86, which
are respectively connected to flow impedance 88 by conduits 90
and 92. Discharge valve 84 and suction valve 86 serve to convert
the oscillating pressure within resonator 74 into a net fluid
flow through flow impedance 88. Flow impedance 88 could include
a heat exchange system or an energy conversion device. The
resonator 74 may be preferably driven by a driver 94, such as an
electromagnetic shaker well known in the art, which mechanically
oscillates the entire resonator 74 in a manner described in
either of U.S. Pat. Nos. 5,319,938 and 5,231,337 incorporated
herein by reference. Resilient mountings 96 are provided to
secure the resonator 74 and driver 94 to a fixed member 98 which
secures the resonator/driver assembly.
FIG. 15B is similar to FIG. 15A wherein the mouth plate 80 of
the resonator 74 is replaced by a piston 80' in which case
driver 94' takes the form of an electromagnetic driver such as a
voice coil driver for oscillating the piston. This arrangement
is well known to those of skill in the art.
FIG. 16 illustrates the use of the resonator 74 as a compressor,
in a compression-evaporation refrigeration system. In FIG. 16,
the resonator is connected in a closed loop, consisting of a
condenser 124, capillary tube 126, and evaporator 130. This
arrangement constitutes a typical compression-evaporation
system, which can be used for refrigeration, air-conditioning,
heat pumps or other heat transfer applications. In this case,
the fluid comprises a compression-evaporation refrigerant. The
driver 94" may be either an entire resonator driver per FIG. 15A
or a piston type driver per FIG. 15B.
In operation, a pressurized liquid refrigerant flows into
evaporator 130 from capillary tube 126 (serving as a pressure
reduction device), therein experiencing a drop in pressure. This
low pressure liquid refrigerant inside evaporator 130 then
absorbs its heat of vaporization from the refrigerated space
128, thereby becoming a low pressure vapor. The standing wave
compressor maintains a low suction pressure, whereby the low
pressure vaporous refrigerant is drawn out of evaporator 130 and
into the standing wave resonator 74. This low pressure vaporous
refrigerant is then acoustically compressed within resonator 74,
and subsequently discharged into condenser 124 at a higher
pressure and temperature. As the high pressure gaseous
refrigerant passes through condenser 124, it gives up heat and
condenses into a pressurized liquid once again,. This pressurize
liquid refrigerant then flows through capillary tube 126, and
the thermodynamic cycle repeats.
The advantages of resonators having changing cross-sectional
area, such as reduced particle velocity, viscous energy
dissipation and thermal energy dissipation, are explained in
U.S. Pat. No. 5,319,938, which is hereby incorporated by
reference for these features.
It is noted that in the preferred embodiments of the resonator
chamber illustrated in FIGS. 7, 9, 11, 13 and 15, the chamber
has an interior region which is structurally empty and contains
only the fluid (e.g., refrigerant). Production of the desired
waveform is achieved by changing the internal cross sectional
area of the chamber along the longitudinal, z, axis so as to
achieve the desired harmonic phases and amplitudes without
producing undue turbulence.
While the above description contains many dimensional
specifications, these should not be construed as limitations on
the scope of the invention, but rather as exemplifications of
preferred embodiments thereof. The preferred embodiments focus
on the resonant synthesis of a desired waveform within
resonators of very simple geometry. Thus, the scope of the
present invention is not limited to a specific resonator design,
but rather to the exploitation of a resonator's boundary
conditions to control harmonic amplitude and phase, thereby
providing Resonant Macrosonic Synthesis.
The number of specific embodiments of the present invention is
as varied as the number of desired properties. Such properties
could include energy consumption, the ratio of throat-to-mouth
pressure amplitudes, resonance quality factor, desired pressure
amplitudes, exact waveform and the operating fluid. There is a
continuum of resonator geometries having the boundary conditions
needed to provide a given property. A resonator's boundary
conditions can be altered by changing the wall geometry, which
includes flat or curved mouth plates and throat plates.
Variation of plate curvature can be used to alter mode
frequencies, acoustic particle velocity, resonance quality
factor and energy consumption. The exact geometry chosen for a
given design will reflect the order of importance of the desired
properties. In general, a resonator's geometry could be
cylindrical, spherical, toroidal, conical, horn-shaped or
combinations of the above.
An important characteristic of the invention is the ability to
achieve steady state waveforms which are synthesized as a result
of selection of the chamber boundary conditions, i.e., the
waveforms persist over time as the compressor is being operated.
Thus, in one preferred application to relatively low pressure
compressors, the steady state operation of the compressor would
supply steady state peak to peak pressure amplitudes as a
percentage of mean pressure in the ranges of 0.5-25%, or more
selectively between one of: 0.5-1.0%; 1.0-5.0%; 5.0-10.%;
10-15%; 15-20%; 20-25%; 10-25%; 15-25% and 20-25%. In relatively
moderate pressure applications, the percentages may range from
25-100% and more selectively between one of: 30-100%; 40-100%;
50-100%; 60-100%; 70-100%; 80-100% and 90-100%. In relatively
high pressure applications these percentages may include values
greater than 100% and more selectively values greater than any
one of: 125%; 150%; 175%; 200%; 300% and 500%.
There are many ways to exploit the basic features of the present
invention which will readily occur to one skilled in the art.
For example, the waveforms provided by the present invention are
not limited to those discussed herein. The present invention can
provide different phases and relative amplitudes for each
harmonic by varying the boundary conditions of the resonator,
thereby providing a wide variety of means to control the
resulting waveform. Also, the phase effects imparted to a
harmonic by a resonant mode are not restricted to only
longitudinal modes.
Furthermore, non-sinusoidal waves do not have to be pressure
asymmetric. Shock-free waves can be non-sinusoidal and pressure
symmetric by providing low even-harmonic amplitudes and high
odd-harmonic amplitudes with non-zero phases. Thus, the present
invention can provide a continuum of pressure asymmetry.
Still further, the resonators of the present invention can be
scaled up or down in size and still provide similar waveforms,
even though operating frequencies and power consumption can
change. Accordingly, the scope of the invention should be
determined not by the embodiments illustrated, but by the
appended claims and their equivalents.
US5994854
Acoustic resonator power delivery
A vibrational acoustic unit comprises a dynamic force motor, a
power take-off spring having one end attached to the dynamic
force motor and the other end attached to a fluid filled
acoustic resonator. The motor oscillates the entire acoustic
resonator so as to excite a resonant mode of the acoustic
resonator. A method of delivering power to an acoustic resonator
comprises resiliently connecting a motor to the resonator, and
driving the motor to oscillate the entire acoustic resonator so
as to excite a resonant mode of the acoustic resonator.
BACKGROUND
OF THE INVENTION
1. Field of Invention
This invention relates to power delivery systems for the
transduction of mechanical power into acoustic power through the
oscillation of an entire resonator to excite a resonant mode,
having applications to any acoustic resonator shape.
2.
Description of Related Art
There are a number of different ways to deliver power to a
standing acoustic wave which are known in the field of
acoustics. The method of entire resonator driving, as described
in U.S. Pat. Nos. 5,319,938 and 5,515,684, depends on vibrating
the entire resonator back and forth in order to use the
resonator's inner surface area as the power delivery surface.
This approach requires a motor that provides a dynamic force to
create the resonator oscillation.
As shown in U.S. Pat. Nos. 5,319,938; 5,231,337; and 5,515,684,
incorporated herein by reference, motors used for entire
resonator driving typically comprise two moving motor
components. FIG. 1 illustrates a prior art device where motor
component 4 is rigidly connected to the fluid-filled acoustic
resonator 2, and motor component 6 is resiliently mounted to
motor component 4 by a spring 8. When a dynamic force is
generated between these two motor components, they move
dynamically in reactive opposition to each other, thus causing
the entire resonator to oscillate so that power is delivered to
the fluid. The heavier motor component 6 may be resiliently
connected to ground.
FIG. 2 shows a lumped element diagram of the prior art device of
FIG. 1. The fluid within the resonator is modeled as spring 14
and mass 12. Associated with each spring is a damper. Since
motor mass 4a and resonator mass 2a are rigidly connected they
comprise a single moving mass of the system.
Power is delivered to the standing wave according to
1/(2.omega.)FA sin .theta., where .omega.=2.pi.f with f being
the drive frequency, F is the magnitude of the force exerted at
the face 10 of motor mass 4a, A is the magnitude of the
acceleration of motor mass 4a and the resonator mass 2a, and
.theta. is the (temporal) phase angle between F and A. The motor
must supply not only the force needed to deliver power to the
acoustic load but also to directly oscillate motor mass 4a and
resonator mass 2a back and forth. The force required to
oscillate masses 2a and 4a is not delivered to the acoustic
load. However, generating this mass-driving force results in
energy losses due to the motor's transduction efficiency and
thus reduces the overall efficiency of the power delivery
system.
A further source of inefficiency in the prior art system shown
in FIGS. 1 and 2 is its limited control of the power factor sin
.theta.. If .theta.=90 DEG then the power factor sin .theta.=1.
If .theta. assumes values progressively less or greater than 90
DEG then the required motor force increases thus minimizing the
energy efficiency of the power delivery system. Adjusting the
resonator mass 2a and the motor mass 4a can help tune the power
factor toward unity, but structural stiffness and pressure
rating requirements for the resonator as well as design
requirements for the motor will limit the degree of freedom to
make such adjustments.
It is well known in the art of vibrational motors that adjusting
the stiffness of spring 8a of FIG.2 in order to tune the
mechanical resonance close to the acoustic resonance will reduce
the required motor force for a given power delivery. However,
this can result in greatly amplified displacements between the
moving components which generate excessive noise and higher
spring stresses. A control is generally required to keep the
drive frequency locked to the acoustic resonance since sound
speed changes due to heating and other effects will cause the
acoustic resonant frequency to drift during operation. If the
mechanical resonance frequency is tuned close to the acoustic
resonance, then severe control problems can occur due to
resonance repulsion phenomena if the resonant frequency drift
brings the two resonant peaks too close together.
SUMMARY OF
THE INVENTION
It is an object of the present invention to provide a power take
off (PTO) spring between a dynamic force motor and a resonant
acoustic load which for a given acoustic power delivery reduces
the required motor force, reduces the motor size requirement,
allows greater control of mechanical power factor, reduces motor
energy dissipation losses due to lower required forces thus
improving system efficiency, allows tuning of all the relative
displacements and phases of all oscillating mass components, and
allows greater design flexibility on overall motor topology.
These and other objects and advantages of the invention will
become apparent from the accompanying specifications and
drawings, wherein like reference numerals refer to like parts
throughout.
The invention may be characterized as a vibrational acoustic
unit comprising a dynamic force motor, a power take-off spring
having one end attached to the dynamic force motor and the other
end attached to a fluid filled acoustic resonator, wherein the
entire acoustic resonator is oscillated so as to excite a
resonant mode of the acoustic resonator.
The invention may also be characterized as a method of
delivering power to an acoustic resonator comprising the steps
of resiliently and exclusively connecting a motor to the
resonator, and driving the motor to oscillate the entire
acoustic resonator so as to excite a resonant mode of the
acoustic resonator.
The invention may further be characterized as a method of
driving an acoustic resonator comprising the steps of connecting
a motor to the resonator using a resilient connection, and
driving the motor to oscillate the entire acoustic resonator so
as to excite a resonant mode of the acoustic resonator, the
motor exciting the resonant mode through the resilient
connection.
BRIEF
DESCRIPTION OF THE DRAWINGS
FIG. 1 illustrates a prior art acoustic power delivery
device;
FIG. 2 is a lumped element diagram of the FIG. 1 prior
art device;
FIG. 3 illustrates an embodiment of the present invention
having a two-mass dynamic force motor;
FIG. 4 is a lumped element diagram of the embodiment of
FIG. 3;
FIG. 5 illustrates an embodiment of the present invention
having a two-mass dynamic motor including a flat lamination
variable-reluctance EI motor;
FIG. 6 illustrates an embodiment of the present invention
having a two-mass dynamic motor including a tape-wound
lamination variable-reluctance motor;
FIG. 7 illustrates an alternative magnetic structure for
a variable-reluctance two-mass dynamic motor; and
FIG. 8 illustrates an embodiment of the present invention
having a single-mass flexing motor, which could include a
piezoelectric element or a magnetostrictive element.


DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
FIG. 3 illustrates an embodiment of the present invention where
a power take off (PTO) spring 20 has been added to the prior art
device of FIG. 1 between the moving motor mass 18 and resonator
22. In operation, an dynamic force of frequency f is created
between motor mass 14 and motor mass 18 which causes motor
masses 14 and 18 to oscillate at frequency f in reactive
opposition to each other. The periodic displacement of motor
mass 18 causes a dynamic force to be transmitted through spring
20 to resonator 22 which in turn causes a periodic displacement
of resonator 22 at frequency f. If frequency f is equal to a
standing wave mode frequency of the resonator which can be
excited by the resonator's motion, then the periodic
displacement of resonator 22 will transfer energy to that mode.
FIG. 4 provides a lumped element diagram of the embodiment of
FIG. 3, comprising motor mass 14a, motor mass 18a, motor spring
16a, PTO spring 20a, resonator mass 22a, fluid spring 24 and
fluid mass 26. When a mode of resonator 22 is being driven, the
phases between the displacements of all masses 14a, 18a, 22a,
and 26 are determined by the respective mass values and by the
respective stiffness and damping values of motor spring 16a, PTO
spring 20a, and fluid spring 24.
Adjusting the stiffness of PTO spring 20a of FIG. 4 provides a
means to tune the mechanical power factor seen by the motor
(represented by masses 14a and 18a) as it delivers power to the
resonator, thus reducing the motor force required for a given
power delivery to the load. PTO spring 20a also prevents rigid
coupling of resonator mass 22a with motor mass 18a, thereby
making possible designs which reduce the motor force required
for a given power delivery to the load. Reducing the required
motor force results in reducing energy losses resulting from the
motor's transduction efficiency and thus improves the overall
efficiency of the power delivery system. Reducing the required
motor force also reduces the required size of the motor, thus
reducing the amount of motor materials required for a given
power delivery to the load.
PTO spring 20a of FIG. 4 allows power factors approaching unity
to be achieved without having to tune any of the mechanical
resonances, associated with springs 16a and 20a, close the
driven acoustic resonance. Thus, component displacements are
minimized, noise is reduced, and excessive spring stresses are
avoided. Providing high power factors, without the risk of
crossing acoustical and mechanical resonance frequencies,
eliminates the severe control problems which occur due to
resonance repulsion phenomena.
The stiffness of each mechanical spring can be chosen so that
(i) the mechanical resonance frequency where motor spring 20a
sees its maximum displacement is above the acoustic resonance
frequency and (ii) the mechanical resonance frequency where
spring 16a sees its maximum displacement is below the acoustic
resonance frequency. This design provides two preferred
operating characteristics. First, fluid heating may cause the
acoustic resonance frequency to increase during operation and
this design assures that the acoustic resonance frequency will
not cross the mechanical resonance frequency associated with the
maximum displacement of spring 16a. Second, provided that the
mechanical resonance frequency associated with the maximum
displacement of spring 20a is sufficiently above the acoustic
resonance frequency so that the two resonances never overlap
during operation, then some benefit can be derived. As the
acoustic resonance frequency increases, accelerations can also
be made to increase thereby transferring more power to the load
for the same motor force. Proper selection of component mass and
spring stiffness can also cause the power factor measured at the
air gap to improve as the acoustic resonance frequency
increases.
In general, the addition of PTO spring 20a allows greater system
design flexibility, since the properties of each mechanical
element are more independent. PTO spring 20a allows tuning of
all the relative component displacements, relative displacement
phases, and component masses.
The power delivery unit should be resiliently mounted to ground,
since each component of the system oscillates. For a given
design, the specific acceleration of masses depends on the mass
of each component and stiffness and damping of each spring. The
mass with the lowest acceleration provides a good point for
resilient mounting to ground.
FIG. 5 shows a cross sectional view of a variable reluctance
motor used as a two-mass dynamic force motor in accordance with
the present invention. The variable reluctance motor consists of
a first motor mass 28 formed by a stack of flat "E" laminations
rigidly joined together so that the stack forms a single unit, a
second motor mass 30 formed by a stack of flat "I" laminations
rigidly joined together so that the stack forms a single unit, a
conducting coil 32 wound around the center leg of the E
lamination stack, leaf springs 34, with levels 34a and 34b,
which resiliently join the first and second motor masses 28 and
30 together via carriages 35 and 37, and a PTO leaf spring 36
which resiliently connects the second motor mass 30 to resonator
38. Second motor mass 30 is rigidly connected to carriage 35,
and first motor mass 28 is rigidly connected to carriage 37.
Carriages 35 and 37 slide back and forth relative to one
another. The motor laminations can be constructed of silicon
steel laminations which are typically used in transformers. The
mass of carriage 35 may be considered to be part of the second
moving mass, and the mass of carriage 37 may be considered to be
part of the first moving mass. The space between the three legs
of the E laminations and the I laminations comprises an air gap
40. The two levels of leaf springs 34, levels 34a and 34b, allow
planer relative motion of second motor mass 30 and first motor
mass 28 so as to keep the instantaneous air gap 40 everywhere
uniform. Single level springs or any other spring topology could
also be used which provide planer motion of the components.
In operation, when an alternating current is established in coil
32 a time varying magnetic flux is created within air gap 40
which is accompanied by a static attractive force and a time
varying attractive force between the first and second motor
masses 28 and 30. Motor masses 28 and 30 respond to this time
varying force by oscillating in reactive opposition to each
other. Leaf springs 34 provide a bias force to prevent the
attractive force from drawing motor masses 28 and 30 together
while still allowing them to oscillate. The periodic oscillation
of motor mass 30 applies a dynamic force through PTO spring 36
to resonator 38, thus causing resonator 38 to oscillate along
its cylindrical axis. If the oscillation frequency of resonator
38 is equal to one of the standing wave mode frequencies which
can be excited by the resonator's motion, then the periodic
displacement of resonator 22 will transfer energy into that
mode. Variable reluctance motors provide high energy efficiency
when small displacements and large forces are required, which is
typically the case for acoustic resonators.
FIG. 6 shows a variable reluctance motor used as a two-mass
dynamic force motor in accordance with the present invention,
which reduces the portion of total magnetic losses caused by
non-grain oriented magnetic flux. The variable reluctance motor
consists of a first motor mass 40 formed by tape-wound
laminations and joined to each other so as to form a single
unit, a second motor mass 42 formed by tape-wound laminations
and joined to each other so as to form a single unit, a
conducting coil 44 wound around the center leg of the first
motor mass, leaf springs 46 which resiliently join the first and
second motor masses 40 and 42 together via carriages 47 and 49,
and a PTO leaf spring 48 which resiliently connects the second
motor mass 42 to resonator 50. The mass of carriage 47 may be
considered to be part of the second moving mass, and the mass of
carriage 49 may be considered to be part of the first moving
mass. In operation the motor of FIG. 6 operates in the same
manner as the motor of FIG. 5.
FIG. 7 illustrates an alternative magnetic structure for a
variable-reluctance motor having first motor mass 52 formed of
two tape-wound laminations and a second motor mass 54 formed of
a single tape-wound lamination. While second motor mass 54 does
not prevent cross-grain field orientation, it does provide a
simple and very rigid structure having ends 56 and 58 which
provide convenient connection points for springs, carriages or
other hardware. Many combinations of tape-wound and stacked flat
lamination components can be combined based on given design
requirements and will suggest themselves to those skilled in the
art.
The PTO spring of the present invention can be used in
combination with any type of dynamic force motor. All motors may
be thought of as providing a dynamic force to a member causing
some movement in that member, however small. Thus, all the
motors, including all motors described herein are dynamic force
motors.
FIG. 8 describes another type of dynamic force motor. FIG. 8
illustrates an embodiment of the present invention having a PTO
spring 64 with one end connected to a flexing dynamic force
motor 60 and the other end connected to a resonator 66. Reaction
mass 62 is preferably rigidly connected to flexing dynamic motor
60 at an end 61 thereof. Reaction mass 62 may be also be
resiliently connected to flexing dynamic motor 60 at end 61, and
in this case it is preferred that the resilient connection be
relatively stiff compared to the spring constant or stiffness of
PTO spring 64. Flexing dynamic motor 60 can be a piezoelectric
element, a magnetostrictive element, or any other element which
provides a dynamic force by periodically flexing or changing its
overall dimensions.
In operation motor 60 of FIG. 8 undergoes a periodic change in
its dimension thus creating a dynamic force of frequency f which
is communicated to resonator 66 through PTO spring 64. In
embodiments in which the dynamic force motor 60 has a small mass
relative to that of the reaction mass 62, the force of the motor
60 is effectively transferred to the resonator 66 by virtue of
the reaction mass 62 and PTO spring 64 which causes the periodic
displacement of resonator 66 at frequency f. Reaction mass 62
prevents excessive accelerations of the reaction mass end 61 of
motor 60 and maximizes the force of motor 60 applied to PTO
spring 64. If the frequency f is equal to a standing wave mode
frequency of the resonator which can be excited by the
resonator's motion, then the periodic displacement of resonator
66 will transfer energy into that mode. The embodiment of FIG. 8
can be operated without PTO spring 64 by rigidly connecting
motor 60 to resonator 66. However, this would eliminate the
advantages described above.
It may be seen that the embodiments of the invention utilize the
PTO spring as the exclusive mechanism to couple the active force
components of the motor to the resonator. Thus, the moving
elements of the motor which are effective in causing oscillation
of the resonator are isolated from the resonator by the
resilient coupling mechanism, i.e., the PTO spring. In contrast,
prior art devices couple the motor to the resonator by a rigid
connection and do not utilize a PTO spring as the primary force
path from the motor to the resonator.
While the above description contains many embodiments of the
invention, these should not be construed as limitations on the
scope of the invention, but rather as an exemplification of
preferred embodiments thereof. Other embodiments which will
occur to those skilled in the art are within the scope of the
present invention. For example, any motor which generates a
dynamic force can be employed such as off-concentric rotational
motors, electrodynamic motors, and electromagnetic motors.
Variable reluctance motors need not use only laminations but can
be formed from pressed materials that have multidirectional
grain properties so as to avoid off-axis grain magnetic losses.
The springs may comprise any spring type which accommodates a
particular design such as coil springs, leaf springs, bellville
springs, magnetic springs, gas springs or other devices that
provide a resilient coupling. The fluids within the resonators
of the present invention can be either liquids or gases. Any
type of acoustic resonator can be used including cylindrical
resonators or Resonant Macrosonic Synthesis (RMS) resonators of
any shape as described for example in U.S. Pat. Nos. 5,515,684,
5,319,938, and 5,174,130 the entire contents of which are hereby
incorporated by reference.
It should further be appreciated that an excited resonance mode
of the resonator may generally take place anywhere on the
resonance response curve as, for example, at full or near full
power, at half power points, quarter power points or the like.
Thus a resonant mode can be excited over a range of frequencies.
The scope of the present invention is not limited to particular
applications of the acoustic resonator to which power is
delivered. For example the present invention can be applied to
acoustic resonators for oil-less acoustic compressors and pumps
for air compression, refrigeration, comfort air-conditioning,
hazardous fluids, ultra-pure fluids, natural gas, and commercial
gases; acoustic resonators for process control; acoustic
resonators used as process reactors for chemical and
pharmaceutical industries; acoustic resonators for separation of
gases including pressure swing adsorption; and acoustic
resonators for agglomeration, levitation, mixing, and
pulverization to name a few. Such applications may or may not
include RMS resonators. While omitted for clarity, such
applications of the invention may utilize inlet/outlet valves
and heat exchange apparatus as shown in FIG. 13 of U.S. Pat. No.
5,319,938 and FIG. 16 of U.S. Pat. No. 5,515,684.
Accordingly, the scope of the invention should be determined not
by the embodiments illustrated, but by the appended claims and
their equivalents.
US6163077
RMS energy conversion
An energy conversion device comprises an acoustic resonator, a
pulse combustion device for creating a standing wave within said
resonator, and an electric alternator. The alternate is coupled
to the resonator to convert acoustically driven mechanical
vibrations into electrical power.
BACKGROUND
OF THE INVENTION
1) Field of Invention
This invention relates to Resonant Macrosonic Synthesis (RMS)
resonators which are either pulse combustion driven or
thermoacoustically driven for the purpose of energy conversion,
having specific applications to electric power production.
2)
Description of Related Art
History reveals a rich variety of technologies conceived for the
purpose of electric power production. Of particular interest are
those technologies designed to combust liquid or gaseous fuels
in order to produce electric power.
Many types of internal combustion engines have been employed
which convert the chemical potential energy of fuels into
mechanical energy which is used to drive an electric alternator.
However, internal combustion engines need frequent periodic
maintenance and provide low conversion efficiencies. Currently,
turbines provide the most efficient conversion of fuels, such as
natural gas, into electric power. The design and manufacturing
sophistication which is inherent in turbine technology can be
seen in both their initial cost and operating cost.
Some effort has been directed to the field of standing acoustic
waves as a means of electric power production. For example, it
was suggested by Swift that the oscillating pressure of
thermoacoustically driven standing waves could be utilized for
driving an alternator to produce electric power (G. W. Swift,
"Thermoacoustic Engines," J. Acoust. Soc. Am. 84, 1166 (1988)).
This would be accomplished by coupling a piston to an open end
of the acoustic resonator and allowing the vibrating piston to
drive a linear alternator The piston would require a gas seal
such as a diaphragm or bellows which raises issues of
reliability. Moving pistons also limit the dynamic force which
can be extracted from the standing wave, thereby limiting the
thermoacoustic generator's efficiency.
Another application of standing acoustic waves to the production
of electric power was reported by Swift which exploited Magneto
Hydrodynamic effects in a thermoacoustically driven liquid
sodium standing wave engine (G. W. Swift, "Thermoacoustic
Engines," J. Acoust. Soc. Am. 84, 1169 (1988)).
Pulse combustion (PC) is a further field of research where
electric power production has been proposed in connection with
standing acoustic waves. Other than Magneto Hydrodynamics the PC
field has apparently received little attention as a means of
producing electric power. Considerable research and development
has occurred in the PC field dating back to the previous
century. In the early 1920s pulse combustors first received
attention as a means to drive electric power producing turbines
as seen in U.S. Pat. No. 1,329,559 to Nikola Tesla. Most of the
applications research performed today relates to producing
either heat or propulsive thrust. For these applications, pulse
combustors have always been comparatively attractive, due to
their self-sustaining combustion cycle, inherent simplicity, and
low production of pollutants. Putnam, Belles, and Kentfield
provide a comprehensive history of pulse combustor development
showing many of the embodiments and applications in the art of
pulse combustion (A. A. Putnam, F. E. Belles, and J. A. C.
Kentfield, "Pulse Combustion," Prog. Energy Combust. Sci. 12,
43-79 (1986)). The field of PC research is very active with
significant efforts taking place at institutions such as the Gas
Research Institute, Sandia Combustion Labs, and various
universities.
In summary, thermoacoustic engines have been proposed as a means
of driving piston-actuated electric alternators to produce
electric power.
However, the concept is in need of certain optimizations,
practical improvements, and simplifications. Little effort has
been directed toward developing a practical system for utilizing
PC-driven standing waves as a means of electric power
production. When compared to contemporary technologies, such as
gas turbines, a PC electric power generator would provide a
fuel-to-electric conversion system of extraordinary simplicity.
SUMMARY OF
THE INVENTION
It is an object of the present invention to provide pulse
combustion (PC) driven acoustic resonators whose vibratory
motion is used to drive an electric alternator.
A further object of the present invention is to employ resonant
macrosonic synthesis (RMS) resonators as a PC chamber in order
to maximize the acoustic reaction force for a given fuel
consumption rate, thereby improving fuel-to-electric
transduction efficiency.
A still further object of the present invention is to increase
the power density of a PC by providing tuned induction as well
as pre-heating and premixing of the combustion reactants.
An even further object of the present invention is to provide a
comparatively inexpensive technology for converting fuels such
as natural gas into electric power.
An additional object of the present invention is to provide
needed optimizations and practical improvements to
thermoacoustic electric power generators.
These and other objects and advantages of the invention will
become apparent from the accompanying specifications and
drawings, wherein like reference numerals refer to like parts
throughout.
DETAILED
DESCRIPTION OF DRAWINGS
FIG. 1A shows an alternate embodiment of the embodiment
of FIG. 1.
FIG. 1 is a sectional view of a pulse combustion electric
power generator in accordance with the present invention;
FIG. 2 is a graphical representation of the fundamental
mode's peak pressure distribution corresponding to resonator 2
of FIG. 1;
FIG. 3 is a graphical representation of a pressure-time
waveform which can be provided by RMS resonators having
certain advantages for the present invention;
FIG. 4 is a sectional view of a pulse combustion electric
power generator in accordance with the present invention
having a resonator geometry which increases the
acoustically-driven dynamic forces on the resonator;
FIG. 5 is a graphical representation of the fundamental
mode's peak pressure distribution corresponding to resonator
32 of FIG. 4;
FIG. 6 is a sectional view of a pulse combustion electric
power generator in accordance with the present invention
having tuned induction compressors and reactant pre-combustion
mixing;
FIG. 7 is a graphical representation of the static and
dynamic pressures associated with the induction compressors of
FIG. 6.
FIG. 8 is a sectional view of a thermoacoustically driven
electric power generator in accordance with the present
invention.


DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
Acoustically driven structural vibration of the combustion
chamber (the resonator) is typically an unwanted byproduct of PC
operation. Considerable research is directed toward minimizing
this unwanted effect. In contrast, the present invention
exploits these vibrations as a means of creating electric power
by allowing the entire resonator to be driven back and forth in
response to the standing wave's dynamic pressure.
FIG. 1 shows an embodiment of the present invention where a RMS
resonator 2 is provided, which is resiliently mounted to the
stationary surrounding environment by springs 3 and 5 thereby
being unrestrained and free to vibrate along its cylindrical
axis z. Resonator 2 has a rigid end wall 26, an annular exhaust
port 24, annular exhaust plenum 25, optional throttle valve 14,
spark plug 22, and a valve head 4. Valve head 4 comprises a
fuel-oxidizer plenum 6, a fuel inlet 8, an oxidizer inlet 10 and
reactant inlet valves 12.
Connected to resonator 2 is alternator 16 comprising armature 18
which is rigidly connected to resonator 2 and stator 20 which is
resiliently connected to armature 18. The resilient connection
is shown schematically as spring 28 and damper 30. The term
stator is not used here to imply that stator is stationary. On
the contrary, stator 20 can be unrestrained and free to vibrate
or alternatively it can be rigidly restrained. Optionally,
armature 18 could be spring mounted to resonator 2 in order to
provide further control of the relative vibrational phases of
stator 20, armature 18, and resonator 2.
Many methods exist for starting pulse combustors and spark plug
22 provides one such approach. In operation, spark plug 22
creates a spark which initiates the combustion of the
fuel-oxidizer mixture inside resonator 2. This initial
combustion starts the well known self-sustaining PC cycle which
is driven by the resultant oscillating pressure inside resonator
2. Once started, the spark plug can be deactivated and the PC
system will run at its characteristic resonant frequency.
Other methods can be used to vary the resonant frequency such as
a spark timing control circuit 7 in FIG. 1 and rotary valves
both of which are per say well known. Variably-tuned resonator
branches could also be used to vary the resonant frequency. For
example, a variably tuned branch could comprise a narrow
cylindrical tube having one end which opens into the combustion
resonator and the other end fitted with a tuning piston. The
resonant frequency of the combustion chamber could be varied by
sliding the tuning piston within the tube.
Combustion products exit resonator 2 through annular port 24
which must have sufficient flow area to support the design
exhaust flow rate. FIG. 2 illustrates the fundamental mode's
peak pressure distribution along the length of resonator 2,
where z is its axi-symmetric axis for which z=0 at the narrow
end and z=L at the wide end. Although port 24 can be placed
anywhere within the walls of resonator 2, the preferred
placement corresponds to the fundamental's pressure node shown
in FIG. 2 which will tend to minimize the transmission of
dynamic pressure through port 24. If dynamic pressure is
transmitted through port 24, then it can no longer be converted
into useable force as described below. In general, exhaust port
placement should be chosen so as to maximize the resonator's
internal dynamic pressure. Port 24 could be fitted with optional
throttle valve 14 or could be equipped with compressor-type
discharge valves such as reed valves or plate valves which would
open in response to the pressure difference across the valve.
Once the standing wave is established its oscillating pressure
exerts dynamic forces against the inner walls of resonator 2
causing it to vibrate as a rigid body along the z direction at
the acoustic frequency. Armature 18 is attached to resonator 2
and so is set into vibration with it. The resulting relative
motion of armature 18 and stator 20 will create electric power
in a manner determined by the generator's topology. In the
preferred embodiment, stator 20 is not stationary but free to
move at some phase angle with respect to the motion of armature
18. Alternator 16 could be a voice coil alternator, a variable
reluctance alternator as shown in U.S. Pat. No. 5,174,130 the
entire contents of which are hereby incorporated by reference,
an alternator as shown in U.S. Pat. No. 5,389,844 the entire
contents of which are hereby incorporated by reference, or any
other of a great number of linear alternators. Other designs
that could be employed, but which lack a literal armature and
stator, include piezoelectric and magnetostrictive alternators.
Alternator selection will reflect the specific design
requirements including frequency of operation, the resonator's
vibrational displacement amplitude, and transduction efficiency
between mechanical and electrical power.
The characteristics of the resilient mounting, shown
schematically as spring 28 and damper 30, between armature 18
and stator 20 will affect the transduction efficiency of the
system. Optimal power factors can be found by modeling the
system dynamics and accounting for all the moving masses,
springs and damping in the system. The specific analytical model
will reflect the type of alternator employed by the system.
The resistance presented to the exhaust flow by port 24, plenum
and optional throttle valve 14 will influence the average
pressure P0 upon which the dynamic pressure is superimposed as
shown in FIG. 2. Other factors influencing the average pressure
P0 will include the inlet flow resistances, the fluid
properties, and the resonator geometry. Throttle valve 14 can be
used to adjust the exhaust flow resistance and thus vary the
average pressure P0. Increasing the outlet flow resistance will
increase P0 and decreasing the outlet flow resistance will
reduce P0. For a given power input, increasing P0 will generally
increase the peak-to-peak dynamic pressure, thereby increasing
the dynamic forces on the resonator, resulting in increased
electric power output. Thus, in order to maximize
fuel-to-electric transduction efficiency the average pressure P0
should be as high as possible as long as the negative peak
pressure -P does not rise above the reactant supply pressure
which would interrupt the intake of fresh reactants. If
discharge valves are used in combination with port 24, then both
the flow area of the valve system and the valve's spring
loading, if any, will influence P0. Alternatively,
compressor-type dynamic discharge valves could be located at z=0
where discharge pressures are higher resulting in reduced
exhaust volume flow rates, as shown by FIG. 1A as element 12as.
Preferred embodiments of the present invention use the
resonator's first longitudinal mode as illustrated by FIGS. 1
and 2 in order to maximize the reaction forces and thus the
fuel-to-electric transduction efficiency as described.
Alternatively, rigid wall 26 could be resiliently attached to
resonator 2 with a flexible seal, such as a bellows, which would
allow wall 26 to vibrate independently of resonator 2. Resonator
2 could be rigidly restrained while allowing wall 26 to vibrate
along the z axis in response to the dynamic acoustic pressure,
thereby driving armature 18 of alternator 16. Also, Helmholtz
type resonators could be used within the scope of the present
invention with an alternator also being connected to the
resonator as in FIGS. 1 and 4.
Resonator design plays an important role in optimization of the
present invention. The particular resonator design chosen will
determine the dynamic pressure amplitude which can be achieved
for a given acoustic power input and thus plays an important
role in determining the fuel-to-electric transduction efficiency
of the present invention. RMS resonators for obtaining unshocked
ultrahigh dynamic pressures with specific predetermined
waveforms are described in U.S. Pat. Nos. 5,515,684 and
5,319,938 and their divisional and continuing applications, the
entire contents of which are hereby incorporated by reference.
In general, the vibrating resonator can provide large amounts of
vibrational mechanical power that can be used to drive an
electrical alternator, as previously described, or it can be
used as a linear motor for many other applications. Linear
motors are widespread and their uses are well known to those
skilled in the art.
The extremely high amplitude shock-free dynamic pressures of RMS
resonators can provide another important advantage for pulse
combustors. RMS resonators can provide compression ratios high
enough for compression-ignition (CI). Pulse combustors commonly
rely on the existence of a residual flame to cause ignition
after fresh reactant intake has occurred. If at any time the
residual flame is extinguished, then the pulse combustor will
cease to operate. Operating in CI mode eliminates the need to
maintain a residual flame inside the combustor chamber, thus
providing a more robust combustion cycle.
RMS resonators can provide air compressions from 1 atmosphere to
over 230 psig. An acoustic compression is isentropic and thus
can provide significant increases in air temperature. For
example, an isentropic compression of 27 DEG C. air from 1
atmosphere to 100 psig will raise the air temperature beyond the
ignition temperature of propane. With approximately 100 DEG C.
of preheat, this same isentropic 100 psig air compression can
reach the ignition temperature for methane. When predicting the
amount of preheat needed for CI to occur the already high
temperatures of the gas within the combustion chamber must be
taken into consideration. These high ambient gas temperatures
can cause significant heat transfer to the incoming reactants
and thus reduce the amount of preheat required.
Depending on the type of fuel used it may be necessary to use
air and/or fuel preheating, or a catalyst inside the resonator,
to initiate compression ignition if a low compression ratio is
desired by the designer. The addition of small amounts of a
secondary fuel (e.g. diesel) with a lower ignition Temperature
can also be used to provide CI of fuels like methane at low
compression ratios.
RMS pulse combustors can be operated in either residual flame
mode or CI mode. In either mode, fuel injection can be used,
instead of pressure operated reed valves, to control the timing
of when fuel is introduced into the pulse combustor. As shown in
FIG. 1 pressure actuated flapper valves can be used to admit
combustion reactants into the combustion chamber. Of course, air
preheat is also an important ignition timing variable regardless
of whether flapper valves or fuel injection is used.
Regardless of the exact design chosen, combustion must first be
initiated by a spark plug, glow plug, or other means. For CI
operation, a spark plug can be used to control the initial
combustion timing during start-up transients when the dynamic
pressure is to low to reach ignition temperatures.
One of the advantages of operating in CI mode is that complete
combustion does not depend on the characteristic time delays of
flame propagation. In CI mode complete energy release from the
fuel can occur much faster and thus the pulse combustor can run
at higher frequencies. This allows a pulse combustor of given
power output to be downsized, thus increasing its power density
and reducing its cost. Further increases in power density could
be made by using hydrogen as a fuel due to its comparatively
fast combustion. Hydrogen would also provide the environmental
advantages of not producing the combustion products associated
with hydrocarbon fuels.
In addition to providing ultrahigh dynamic pressures, RMS
resonators offer other advantages derived from waveform
synthesis. For example, FIG. 3 shows an RMS resonator waveform
that provides .vertline.-.vertline.>.vertline.+P.vertline.,
where .vertline.-P.vertline..tbd.P0 +(-P) and
.vertline.+P.vertline..tbd.(+P)-P0. This waveform will allow the
pulse combustor to run at a higher average pressure P0 while
still keeping the negative peak pressure -P below the reactant
supply pressure so that the reactant flow is not interrupted. As
explained, running higher P0 values improves the
fuel-to-electric energy transduction efficiency. To those
skilled in the art, RMS resonators will provide numerous
enhancements to the present invention all of which are
considered to be within the scope of the present invention.
Another consideration for maximizing P0 is the placement of
inlet valves 12 in FIG. 1. The small diameter end of resonator 2
will provide the largest dynamic pressures and thus the lowest
negative peak pressure -P for a given value of P0. Consequently,
this valve placement allows the PC to operate at the highest P0
value with all of the advantages cited above. Optionally, the
valves could be placed at any other location within the walls of
the resonator where the dynamic pressure of the fundamental
exists.
FIG. 4 illustrates an embodiment of the present invention
employing a RMS resonator 32 whose longitudinal symmetry
increases the acoustic forces on the resonator created by the
fundamental mode's pressure distribution. The curvature of
resonator 32 is determined by D(z)=Dth +k[sin(.pi.z/L)], where D
is the diameter, Dth is the throat or starting diameter, z is
the axi-symmetric axis of resonator 32, k is a weighting
coefficient and L is the resonator's total axial length.
Alternatively, the curvature of resonator 32 could be described
by any number of other functions including hyperbolic, parabolic
or elliptical all of which will give different force
characteristics.
Resonator 32 is resiliently mounted to the stationary
surrounding environment by springs 35 and 37 thereby being
unrestrained and free to vibrate along its cylindrical axis z.
Mounted to each end of resonator 32 are identical valve heads 34
which allow 2 combustion events per acoustic cycle thereby
increasing the PC generator's power density. Alternatively, the
pulse combustor of FIG. 4 can run with only one valve head at
the cost of reduced power density. Resonator 32 has an annular
exhaust port 39 and annular exhaust plenum 38 whose functions
are identical to annular exhaust port 24 and annular exhaust
plenum 25 of FIG. 1. A generator 40 is shown schematically which
converts the z axis vibration of resonator 32 into electric
power as described above in relation to FIG. 1.
FIG. 5 shows the peak pressure distribution of the fundamental
mode along the length of resonator 32, where z is its
axi-symmetric axis and +P is the positive peak pressure and -P
is the negative peak pressure. For the fundamental mode, the
local z components of the inner surface area are directed so
that all the local products of pressure and area at any time
will produce forces on the resonator walls having the same z
axis direction. This condition will hold as long as dr/dz
changes mathematical sign wherever the peak pressure
distribution changes mathematical sign. For resonator 32 this
condition occurs at z=L/2, where L is the resonator length. In
addition to z=L/2, there is a continuum of z values at which
both dr/dz and the peak pressure distribution can be made to
change sign together.
The relative dimensions of resonator 32 can be adjusted to
further increase the acoustically exerted forces by changing the
maximum-to-minimum diameter ratio. For resonator 32, the maximum
diameter occurs at z=L/2, and the minimum diameter occurs at z=0
and z=L, where the diameter=Dd,. For example, if the max/min
diameter ratio of resonator 32 begins at 1.7 and is increased a
factor of 7, then the force increases by a factor of 40. This
assumes that the peak-to-peak dynamic pressure, as measured at
Dth remains the same for both cases.
Under some circumstances air, or a given oxidizer, must first be
forced under pressure into the resonator before the reactants
can be ignited. This same starting method will work with the
present invention.
Another starting scheme for the present invention is to use the
alternator as a starting motor so that the PC generator is
temporarily operated as an acoustic compressor. In start mode,
an alternating voltage is applied to the motor which then drives
the resonator back and forth thereby exciting its fundamental
resonant mode. The valves respond to this mechanically-driven
dynamic pressure and reactants are drawn into the combustion
chamber at which time an applied spark can initiate the PC
cycle. To avoid abruptly switching from motor to alternator
mode, the motor could be switched off just prior to the firing
the ignition spark. Once the PC cycle is started the motor is
switched back to alternator mode, and electric power is provided
as described above.
As explained, large P0 values increase the PC generator's
efficiency and power density. FIG. 6 illustrates another
embodiment of the present invention which provides even higher
P0 values by means of tuned induction compressors for induction
ramming. The embodiment of FIG. 6 also provides reactant
preheating and thorough premixing. These features promote high
efficiency due to complete burning of reactants as well as rapid
burn rates for high frequency operation.
In FIG. 6 a resonator 42 is provided whose internal geometry is
similar in form and function to resonator 32 of FIG. 4.
Resonator 42 is resiliently mounted to the stationary
surrounding environment by springs 53, 55, 57, and 59 thereby
being unrestrained and free to vibrate along its cylindrical
axis z. Resonator 42 has spark plug 43, annular exhaust port 44
and annular exhaust plenum 46 whose functions are identical to
annular exhaust port 39 and annular exhaust plenum 38 of FIG. 4.
Mounted to each end of resonator 42 are identical acoustic
induction compressors 48 consisting of tuned plenums 50, first
stage valves 52 and second stage valves 54. Plenums 50 are
designed so as to have approximately the same resonance
frequency as resonator 42. Identical heat exchanger cowlings 56
are provided with fuel inlets 58 and oxidizer inlets 60.
Cowlings 56 need not be rigidly attached to resonator 42 but
must at least form a seal with resonator 42 to prevent reactant
leakage. If cowlings 56 were resiliently mounted so that they
need not vibrate with resonator 42, then they could provide both
heat insulation and noise suppression. Also, a single inlet
could be provided in each cowling for fuel and oxidizer rather
than the two respective openings shown.
Many alternator topologies can be annularly configured so as to
wrap around resonator 42. For example, FIG. 6 shows a variable
reluctance alternator 45 which is wrapped annularly around
resonator 42. Alternator 45 has annular armature 47 which is
rigidly connected to flange 62 of resonator 42, annular stator
49 which is resiliently connected to armature 47 via annular
spring 51 and annular linkage 61, drive coil 65 within annular
stator 49, and drive coil leads 67. Dynamically, alternator 45
will respond to the z axis vibration of resonator 42 in the same
manner as alternator 16 of FIG. 1 responds to the z axis
vibration of resonator 2.
FIG. 7 illustrates the dynamic and static pressure relationships
of the various stages of compression. In operation, the pulse
combustion driven standing wave is initiated by spark plug 43.
Reactant flow proceeds through inlets 58 and 60 at the inlet
pressure Pinlet-1 and through cowlings 56 where the reactants
pick up heat from the wall of resonator 42 and experience some
degree of flow mixing. The vibration of the entire generator
assembly will excite the fundamental resonance of tuned plenums
50. The resulting dynamic pressure inside tuned plenums 50 will
draw in the heated reactants from cowling 56 through valves 52
and into tuned plenums 50 thereby compressing the reactants to
the average plenum pressure P0-plenum. Inside tuned plenums 50
the reactants experience further mixing due to the initial
turbulent valve flow and then due to the cyclic acoustic
particle displacement.
The dynamic pressure inside plenums 50 will compress the
reactants again from the average plenum pressure P0-plenum up to
the plenum discharge pressure Pinlet-2 at which time the
reactants are discharged from plenums 50 through the 2@nd stage
valves 54 and into resonator 42. The overlap of the plenum's
peak acoustic pressure and the minimum acoustic pressure of
resonator 42 forces second stage valves 54 open once per cycle
thereby discharging the heated and mixed reactants into
resonator 42 for combustion. The passage of reactants through
valves 54 induces further mixing. The result of this process as
seen in FIG. 7 is an elevated average resonator pressure P0-res
due to the pressure lift provided by induction compressors 48.
Additional induction compressors could be staged if desired to
provide even higher P0-res values. Cowlings 56 also lend
themselves to acoustical resonance and could provide additional
dynamic pressure boost.
Consideration must be given to the acoustic design of resonant
plenums 50. As shown in FIG. 7, the phase between the plenum's
standing wave and the resonator's standing wave is essential to
the compression process. The plenum's resonance is driven by two
sources: the opening of 2@nd stage valves 54 and the vibratory
motion of the entire plenum. The superposition of these two
driving sources must be taken into account when designing the
plenum geometry. If the plenum resonant frequency is to be equal
to the resonator's, then the plenum design should ensure that
the valves are the weaker source.
Many improvements on the embodiment of FIG. 6 will suggest
themselves to those skilled in the art of tuned compressor or
engine plenums and pulse combustors. For example, the plenums
could be tuned to the resonator's 2@nd harmonic in which case
the 2@nd stage valves could act as the sole driving source and
the proper phases for induction ramming would be provided.
Further, the ratio of 1@st and 2@nd stage valve areas can be
used to increase P0-plenum and therefor P0-res. Still further,
if premixing of the reactants inside cowlings 56 is
objectionable for safety reasons, then individual oxidizer and
fuel cowlings can be used which would keep the reactants
separated up to the induction compressors. Similarly, individual
fuel and oxidizer lines could be wrapped in annular fashion
around the exterior of resonator 42, thereby being placed in
thermal contact with the hot resonator walls.
If a gaseous fuel supply pressure is high enough, then induction
compressors 48 could be used to compress only the oxidizer and
the fuel could be provided through a typical gas distributor
within resonator 42.
Electrically-driven motors are commonly used to drive standing
wave compressors as is well known in the art. These electric
motors supply the oscillating force needed for entire resonator
drive. The induction compressors of the present invention are in
fact standing wave compressors. As described above the pulse
combustor of the present invention can be used to directly drive
these induction, or standing wave, compressors by means of
entire resonator drive and is referred to herein as
engine-drive. In the same manner, the is engine-drive can be
used to drive a standing wave compressor for any application,
such as refrigeration and air-conditioning, air compression,
acoustic vacuum pumps, compression of commercial gases,
compression of natural gas, to name a few. In general,
engine-drive can be used to drive a RMS resonator for any of the
many RMS applications.
As an alternative to PC, the standing acoustic waves of the
present invention can be driven thermoacoustically. As
described, current proposals for thermoacoustically driven
electric generators require the coupling of a piston to an open
end of the acoustic resonator and allowing the vibrating piston
to drive a linear alternator. This piston would require a gas
seal such as a diaphragm or bellows which raises issues of
reliability. The dynamic forces produced by this system are
limited by acoustic pressure amplitude and by the surface area
of the piston.
Rather than being limited by a piston's surface area, the
present invention utilizes the entire inner surface area of the
resonator and so can generate very large dynamic forces. The use
of RMS resonators further increases the desired dynamic forces
by providing extremely high dynamic pressures.
FIG. 8 illustrates a thermoacoustically-driven embodiment of the
present invention. An explanation of thermoacoustic engine
fundamentals can be found in G. W. Swift, "Thermoacoustic
Engines," J. Acoust. Soc. Am. 84, 1169 (1988). In FIG. 8, a
rigid walled resonator 63 having heat plate stacks 64 is
operated in the prime mover mode as is well known in the art of
thermoacoustic engines. Resonator 63 is resiliently mounted to
the stationary surrounding environment by springs 72 and 74
thereby being unrestrained and free to vibrate along its
cylindrical axis z. Heat is applied at heat exchangers 66 and
extracted at heat exchangers 68 so as to provide a temperature
gradient along the plate stack sufficient for driving the
standing acoustic wave. Once the standing wave is established
its oscillating pressure exerts dynamic force, against the walls
of resonator 63 causing it to vibrate as a rigid body along z at
the acoustic frequency in response to these dynamic forces. As
before, a generator 70 is shown schematically which converts the
z axis vibration of resonator 32 into electric power.
The art of thermoacoustic engines is well developed and will
suggest many methods and techniques to one skilled in the art
for implementing the embodiment of FIG. 8. For example, the use
of two plate stacks is optional. In addition, plate stacks can
be used with RMS resonators to achieve high pressure amplitudes
for a desired waveform and with all of the advantages previously
described. Further, heat sources used for the embodiment of F
IG. 8 could include waste heat from a PC generator of the type
described above, waste heat from other processes, direct
combustion of fuels as well as solar energy to name a few.
While the above description contains many specifications, these
should not be construed as limitations on the scope of the
invention, but rather as an exemplification of preferred
embodiments. Thus, the scope of the present invention is not
limited to specific pulse combustor designs or thermoacoustic
designs.
The present invention can be applied wherever electrical power
is needed. Frequency locking the PC embodiments of the present
invention to the local power grid frequency may be achieved for
example with spark timing, the timing of actuated valves such as
rotary valves or with variably-tuned resonator branches. In this
way, the generated electric power could be linked to the local
grid. The AC output from the alternator could be converted to
other frequencies or to DC. PC generators could be used as the
onboard power source for hybrid electric vehicles, including
those that store energy in mechanical flywheels where gas
turbines are currently used. The present invention can be sized
for various power output requirements.
The PC literature provides a diversity of pulse combustor
designs and enhancements including the use of gaseous or liquid
fuels, fuel distributor heads, the number of valves used, valved
and areovalved combustors, multiple combustors, fuel-oxidizer
mixing, valve styles including flappers, Tesla valves, and
rotary valves. Many of these concepts can be seen in the
following publications: A. A. Putnam, F. E. Belles, and J. A. C.
Kentfield, "Pulse Combustion," Prog. Energy Combust. Sci. 12, 43
(1986), J. C. Griffiths, E. J. Weber, "The Design of Pulse
Combustion Burners," Research Bulletin 107, American Gas
Association Laboratories (1969), P. S. Vishwanath, "Advancement
of Developmental Technology for Pulse Combustion Applications,"
Gas Research Institute Report No. GRI-85/0280 (1985) the entire
contents of which are all hereby incorporated by reference. The
application of currently available PC design information to the
present invention will suggest itself to those skilled in the
art.
Accordingly, the scope of the invention should be determined not
by the embodiments illustrated, but by the appended claims and
their equivalents.
TW374827
RMS energy conversion
BACKGROUND OF THE INVENTION
1) Field of Invention
This invention relates to Resonant Macrosonic Synthesis (RMS)
resonators which are either pulse combustion driven or
thermoacoustically driven for the purpose of energy conversion,
having specific applications to electric power production.
2)
Description of Related Art
History reveals a rich variety of technologies conceived for the
purpose of electric power production. Of particular interest are
those technologies designed to combust liquid or gaseous fuels
in order to produce electric power.
Many types of internal combustion engines have been employed
which convert the chemical potential energy of fuels into
mechanical energy which is used to drive an electric alternator.
However, internal combustion engines need frequent periodic
maintenance and provide low conversion efficiencies. Currently,
turbines provide the most efficient conversion of fuels, such as
natural gas, into electric power. The design and manufacturing
sophistication which is inherent in turbine technology can be
seen in both their initial cost and operating cost.
Some effort has been directed to the field of standing acoustic
waves as a means of electric power production. For example, it
was suggested by Swift that the oscillating pressure of
thermoacoustically driven standing waves could be utilized for
driving an alternator to produce electric power (G. W. Swift,
"Thermoacoustic Engines," J. Acoust. Soc. Am. 84, 1166 (1988)).
This would be accomplished by coupling a piston to an open end
of the acoustic resonator and allowing the vibrating piston to
drive a linear alternator The piston would require a gas seal
such as a diaphragm or bellows which raises issues of
reliability. Moving pistons also limit the dynamic force which
can be extracted from the standing wave, thereby limiting the
thermoacoustic generator's efficiency.
Another application of standing acoustic waves to the production
of electric power was reported by Swift which exploited Magneto
Hydrodynamic effects in a thermoacoustically driven liquid
sodium standing wave engine (G. W. Swift, "Thermoacoustic
Engines," J. Acoust. Soc. Am. 84, 1169 (1988)).
Pulse combustion (PC) is a further field of research where
electric power production has been proposed in connection with
standing acoustic waves. Other than Magneto Hydrodynamics the PC
field has apparently received little attention as a means of
producing electric power. Considerable research and development
has occurred in the PC field dating back to the previous
century. In the early 1920s pulse combustors first received
attention as a means to drive electric power producing turbines
as seen in U.S. Pat. No. 1,329,559 to Nikola Tesla. Most of the
applications research performed today relates to producing
either heat or propulsive thrust. For these applications, pulse
combustors have always been comparatively attractive, due to
their self-sustaining combustion cycle, inherent simplicity, and
low production of pollutants. Putnam, Belles, and Kentfield
provide a comprehensive history of pulse combustor development
showing many of the embodiments and applications in the art of
pulse combustion (A. A. Putnam, F. E. Belles, and J. A. C.
Kentfield, "Pulse Combustion," Prog. Energy Combust. Sci. 12,
43-79 (1986)). The field of PC research is very active with
significant efforts taking place at institutions such as the Gas
Research Institute, Sandia Combustion Labs, and various
universities.
In summary, thermoacoustic engines have been proposed as a means
of driving piston-actuated electric alternators to produce
electric power.
However, the concept is in need of certain optimizations,
practical improvements, and simplifications. Little effort has
been directed toward developing a practical system for utilizing
PC-driven standing waves as a means of electric power
production. When compared to contemporary technologies, such as
gas turbines, a PC electric power generator would provide a
fuel-to-electric conversion system of extraordinary simplicity.
SUMMARY OF
THE INVENTION
It is an object of the present invention to provide pulse
combustion (PC) driven acoustic resonators whose vibratory
motion is used to drive an electric alternator.
A further object of the present invention is to employ resonant
macrosonic synthesis (RMS) resonators as a PC chamber in order
to maximize the acoustic reaction force for a given fuel
consumption rate, thereby improving fuel-to-electric
transduction efficiency.
A still further object of the present invention is to increase
the power density of a PC by providing tuned induction as well
as pre-heating and premixing of the combustion reactants.
An even further object of the present invention is to provide a
comparatively inexpensive technology for converting fuels such
as natural gas into electric power.
An additional object of the present invention is to provide
needed optimizations and practical improvements to
thermoacoustic electric power generators.
These and other objects and advantages of the invention will
become apparent from the accompanying specifications and
drawings, wherein like reference numerals refer to like parts
throughout.
DETAILED
DESCRIPTION OF DRAWINGS
FIG. 1A shows an alternate embodiment of the embodiment
of FIG. 1.
FIG. 1 is a sectional view of a pulse combustion electric
power generator in accordance with the present invention;
FIG. 2 is a graphical representation of the fundamental
mode's peak pressure distribution corresponding to resonator 2
of FIG. 1;
FIG. 3 is a graphical representation of a pressure-time
waveform which can be provided by RMS resonators having
certain advantages for the present invention;
FIG. 4 is a sectional view of a pulse combustion electric
power generator in accordance with the present invention
having a resonator geometry which increases the
acoustically-driven dynamic forces on the resonator;
FIG. 5 is a graphical representation of the fundamental
mode's peak pressure distribution corresponding to resonator
32 of FIG. 4;
FIG. 6 is a sectional view of a pulse combustion electric
power generator in accordance with the present invention
having tuned induction compressors and reactant pre-combustion
mixing;
FIG. 7 is a graphical representation of the static and
dynamic pressures associated with the induction compressors of
FIG. 6.
FIG. 8 is a sectional view of a thermoacoustically driven
electric power generator in accordance with the present
invention.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
Acoustically driven structural vibration of the combustion
chamber (the resonator) is typically an unwanted byproduct of PC
operation. Considerable research is directed toward minimizing
this unwanted effect. In contrast, the present invention
exploits these vibrations as a means of creating electric power
by allowing the entire resonator to be driven back and forth in
response to the standing wave's dynamic pressure.
FIG. 1 shows an embodiment of the present invention where a RMS
resonator 2 is provided, which is resiliently mounted to the
stationary surrounding environment by springs 3 and 5 thereby
being unrestrained and free to vibrate along its cylindrical
axis z. Resonator 2 has a rigid end wall 26, an annular exhaust
port 24, annular exhaust plenum 25, optional throttle valve 14,
spark plug 22, and a valve head 4. Valve head 4 comprises a
fuel-oxidizer plenum 6, a fuel inlet 8, an oxidizer inlet 10 and
reactant inlet valves 12.
Connected to resonator 2 is alternator 16 comprising armature 18
which is rigidly connected to resonator 2 and stator 20 which is
resiliently connected to armature 18. The resilient connection
is shown schematically as spring 28 and damper 30. The term
stator is not used here to imply that stator is stationary. On
the contrary, stator 20 can be unrestrained and free to vibrate
or alternatively it can be rigidly restrained. Optionally,
armature 18 could be spring mounted to resonator 2 in order to
provide further control of the relative vibrational phases of
stator 20, armature 18, and resonator 2.
Many methods exist for starting pulse combustors and spark plug
22 provides one such approach. In operation, spark plug 22
creates a spark which initiates the combustion of the
fuel-oxidizer mixture inside resonator 2. This initial
combustion starts the well known self-sustaining PC cycle which
is driven by the resultant oscillating pressure inside resonator
2. Once started, the spark plug can be deactivated and the PC
system will run at its characteristic resonant frequency.
Other methods can be used to vary the resonant frequency such as
a spark timing control circuit 7 in FIG. 1 and rotary valves
both of which are per say well known. Variably-tuned resonator
branches could also be used to vary the resonant frequency. For
example, a variably tuned branch could comprise a narrow
cylindrical tube having one end which opens into the combustion
resonator and the other end fitted with a tuning piston. The
resonant frequency of the combustion chamber could be varied by
sliding the tuning piston within the tube.
Combustion products exit resonator 2 through annular port 24
which must have sufficient flow area to support the design
exhaust flow rate. FIG. 2 illustrates the fundamental mode's
peak pressure distribution along the length of resonator 2,
where z is its axi-symmetric axis for which z=0 at the narrow
end and z=L at the wide end. Although port 24 can be placed
anywhere within the walls of resonator 2, the preferred
placement corresponds to the fundamental's pressure node shown
in FIG. 2 which will tend to minimize the transmission of
dynamic pressure through port 24. If dynamic pressure is
transmitted through port 24, then it can no longer be converted
into useable force as described below. In general, exhaust port
placement should be chosen so as to maximize the resonator's
internal dynamic pressure. Port 24 could be fitted with optional
throttle valve 14 or could be equipped with compressor-type
discharge valves such as reed valves or plate valves which would
open in response to the pressure difference across the valve.
Once the standing wave is established its oscillating pressure
exerts dynamic forces against the inner walls of resonator 2
causing it to vibrate as a rigid body along the z direction at
the acoustic frequency. Armature 18 is attached to resonator 2
and so is set into vibration with it. The resulting relative
motion of armature 18 and stator 20 will create electric power
in a manner determined by the generator's topology. In the
preferred embodiment, stator 20 is not stationary but free to
move at some phase angle with respect to the motion of armature
18. Alternator 16 could be a voice coil alternator, a variable
reluctance alternator as shown in U.S. Pat. No. 5,174,130 the
entire contents of which are hereby incorporated by reference,
an alternator as shown in U.S. Pat. No. 5,389,844 the entire
contents of which are hereby incorporated by reference, or any
other of a great number of linear alternators. Other designs
that could be employed, but which lack a literal armature and
stator, include piezoelectric and magnetostrictive alternators.
Alternator selection will reflect the specific design
requirements including frequency of operation, the resonator's
vibrational displacement amplitude, and transduction efficiency
between mechanical and electrical power.
The characteristics of the resilient mounting, shown
schematically as spring 28 and damper 30, between armature 18
and stator 20 will affect the transduction efficiency of the
system. Optimal power factors can be found by modeling the
system dynamics and accounting for all the moving masses,
springs and damping in the system. The specific analytical model
will reflect the type of alternator employed by the system.
The resistance presented to the exhaust flow by port 24, plenum
and optional throttle valve 14 will influence the average
pressure P0 upon which the dynamic pressure is superimposed as
shown in FIG. 2. Other factors influencing the average pressure
P0 will include the inlet flow resistances, the fluid
properties, and the resonator geometry. Throttle valve 14 can be
used to adjust the exhaust flow resistance and thus vary the
average pressure P0. Increasing the outlet flow resistance will
increase P0 and decreasing the outlet flow resistance will
reduce P0. For a given power input, increasing P0 will generally
increase the peak-to-peak dynamic pressure, thereby increasing
the dynamic forces on the resonator, resulting in increased
electric power output. Thus, in order to maximize
fuel-to-electric transduction efficiency the average pressure P0
should be as high as possible as long as the negative peak
pressure -P does not rise above the reactant supply pressure
which would interrupt the intake of fresh reactants. If
discharge valves are used in combination with port 24, then both
the flow area of the valve system and the valve's spring
loading, if any, will influence P0. Alternatively,
compressor-type dynamic discharge valves could be located at z=0
where discharge pressures are higher resulting in reduced
exhaust volume flow rates, as shown by FIG. 1A as element 12as.
Preferred embodiments of the present invention use the
resonator's first longitudinal mode as illustrated by FIGS. 1
and 2 in order to maximize the reaction forces and thus the
fuel-to-electric transduction efficiency as described.
Alternatively, rigid wall 26 could be resiliently attached to
resonator 2 with a flexible seal, such as a bellows, which would
allow wall 26 to vibrate independently of resonator 2. Resonator
2 could be rigidly restrained while allowing wall 26 to vibrate
along the z axis in response to the dynamic acoustic pressure,
thereby driving armature 18 of alternator 16. Also, Helmholtz
type resonators could be used within the scope of the present
invention with an alternator also being connected to the
resonator as in FIGS. 1 and 4.
Resonator design plays an important role in optimization of the
present invention. The particular resonator design chosen will
determine the dynamic pressure amplitude which can be achieved
for a given acoustic power input and thus plays an important
role in determining the fuel-to-electric transduction efficiency
of the present invention. RMS resonators for obtaining unshocked
ultrahigh dynamic pressures with specific predetermined
waveforms are described in U.S. Pat. Nos. 5,515,684 and
5,319,938 and their divisional and continuing applications, the
entire contents of which are hereby incorporated by reference.
In general, the vibrating resonator can provide large amounts of
vibrational mechanical power that can be used to drive an
electrical alternator, as previously described, or it can be
used as a linear motor for many other applications. Linear
motors are widespread and their uses are well known to those
skilled in the art.
The extremely high amplitude shock-free dynamic pressures of RMS
resonators can provide another important advantage for pulse
combustors. RMS resonators can provide compression ratios high
enough for compression-ignition (CI). Pulse combustors commonly
rely on the existence of a residual flame to cause ignition
after fresh reactant intake has occurred. If at any time the
residual flame is extinguished, then the pulse combustor will
cease to operate. Operating in CI mode eliminates the need to
maintain a residual flame inside the combustor chamber, thus
providing a more robust combustion cycle.
RMS resonators can provide air compressions from 1 atmosphere to
over 230 psig. An acoustic compression is isentropic and thus
can provide significant increases in air temperature. For
example, an isentropic compression of 27 DEG C. air from 1
atmosphere to 100 psig will raise the air temperature beyond the
ignition temperature of propane. With approximately 100 DEG C.
of preheat, this same isentropic 100 psig air compression can
reach the ignition temperature for methane. When predicting the
amount of preheat needed for CI to occur the already high
temperatures of the gas within the combustion chamber must be
taken into consideration. These high ambient gas temperatures
can cause significant heat transfer to the incoming reactants
and thus reduce the amount of preheat required.
Depending on the type of fuel used it may be necessary to use
air and/or fuel preheating, or a catalyst inside the resonator,
to initiate compression ignition if a low compression ratio is
desired by the designer. The addition of small amounts of a
secondary fuel (e.g. diesel) with a lower ignition Temperature
can also be used to provide CI of fuels like methane at low
compression ratios.
RMS pulse combustors can be operated in either residual flame
mode or CI mode. In either mode, fuel injection can be used,
instead of pressure operated reed valves, to control the timing
of when fuel is introduced into the pulse combustor. As shown in
FIG. 1 pressure actuated flapper valves can be used to admit
combustion reactants into the combustion chamber. Of course, air
preheat is also an important ignition timing variable regardless
of whether flapper valves or fuel injection is used.
Regardless of the exact design chosen, combustion must first be
initiated by a spark plug, glow plug, or other means. For CI
operation, a spark plug can be used to control the initial
combustion timing during start-up transients when the dynamic
pressure is to low to reach ignition temperatures.
One of the advantages of operating in CI mode is that complete
combustion does not depend on the characteristic time delays of
flame propagation. In CI mode complete energy release from the
fuel can occur much faster and thus the pulse combustor can run
at higher frequencies. This allows a pulse combustor of given
power output to be downsized, thus increasing its power density
and reducing its cost. Further increases in power density could
be made by using hydrogen as a fuel due to its comparatively
fast combustion. Hydrogen would also provide the environmental
advantages of not producing the combustion products associated
with hydrocarbon fuels.
In addition to providing ultrahigh dynamic pressures, RMS
resonators offer other advantages derived from waveform
synthesis. For example, FIG. 3 shows an RMS resonator waveform
that provides .vertline.-.vertline.>.vertline.+P.vertline.,
where .vertline.-P.vertline..tbd.P0 +(-P) and
.vertline.+P.vertline..tbd.(+P)-P0. This waveform will allow the
pulse combustor to run at a higher average pressure P0 while
still keeping the negative peak pressure -P below the reactant
supply pressure so that the reactant flow is not interrupted. As
explained, running higher P0 values improves the
fuel-to-electric energy transduction efficiency. To those
skilled in the art, RMS resonators will provide numerous
enhancements to the present invention all of which are
considered to be within the scope of the present invention.
Another consideration for maximizing P0 is the placement of
inlet valves 12 in FIG. 1. The small diameter end of resonator 2
will provide the largest dynamic pressures and thus the lowest
negative peak pressure -P for a given value of P0. Consequently,
this valve placement allows the PC to operate at the highest P0
value with all of the advantages cited above. Optionally, the
valves could be placed at any other location within the walls of
the resonator where the dynamic pressure of the fundamental
exists.
FIG. 4 illustrates an embodiment of the present invention
employing a RMS resonator 32 whose longitudinal symmetry
increases the acoustic forces on the resonator created by the
fundamental mode's pressure distribution. The curvature of
resonator 32 is determined by D(z)=Dth +k[sin(.pi.z/L)], where D
is the diameter, Dth is the throat or starting diameter, z is
the axi-symmetric axis of resonator 32, k is a weighting
coefficient and L is the resonator's total axial length.
Alternatively, the curvature of resonator 32 could be described
by any number of other functions including hyperbolic, parabolic
or elliptical all of which will give different force
characteristics.
Resonator 32 is resiliently mounted to the stationary
surrounding environment by springs 35 and 37 thereby being
unrestrained and free to vibrate along its cylindrical axis z.
Mounted to each end of resonator 32 are identical valve heads 34
which allow 2 combustion events per acoustic cycle thereby
increasing the PC generator's power density. Alternatively, the
pulse combustor of FIG. 4 can run with only one valve head at
the cost of reduced power density. Resonator 32 has an annular
exhaust port 39 and annular exhaust plenum 38 whose functions
are identical to annular exhaust port 24 and annular exhaust
plenum 25 of FIG. 1. A generator 40 is shown schematically which
converts the z axis vibration of resonator 32 into electric
power as described above in relation to FIG. 1.
FIG. 5 shows the peak pressure distribution of the fundamental
mode along the length of resonator 32, where z is its
axi-symmetric axis and +P is the positive peak pressure and -P
is the negative peak pressure. For the fundamental mode, the
local z components of the inner surface area are directed so
that all the local products of pressure and area at any time
will produce forces on the resonator walls having the same z
axis direction. This condition will hold as long as dr/dz
changes mathematical sign wherever the peak pressure
distribution changes mathematical sign. For resonator 32 this
condition occurs at z=L/2, where L is the resonator length. In
addition to z=L/2, there is a continuum of z values at which
both dr/dz and the peak pressure distribution can be made to
change sign together.
The relative dimensions of resonator 32 can be adjusted to
further increase the acoustically exerted forces by changing the
maximum-to-minimum diameter ratio. For resonator 32, the maximum
diameter occurs at z=L/2, and the minimum diameter occurs at z=0
and z=L, where the diameter=Dd,. For example, if the max/min
diameter ratio of resonator 32 begins at 1.7 and is increased a
factor of 7, then the force increases by a factor of 40. This
assumes that the peak-to-peak dynamic pressure, as measured at
Dth remains the same for both cases.
Under some circumstances air, or a given oxidizer, must first be
forced under pressure into the resonator before the reactants
can be ignited. This same starting method will work with the
present invention.
Another starting scheme for the present invention is to use the
alternator as a starting motor so that the PC generator is
temporarily operated as an acoustic compressor. In start mode,
an alternating voltage is applied to the motor which then drives
the resonator back and forth thereby exciting its fundamental
resonant mode. The valves respond to this mechanically-driven
dynamic pressure and reactants are drawn into the combustion
chamber at which time an applied spark can initiate the PC
cycle. To avoid abruptly switching from motor to alternator
mode, the motor could be switched off just prior to the firing
the ignition spark. Once the PC cycle is started the motor is
switched back to alternator mode, and electric power is provided
as described above.
As explained, large P0 values increase the PC generator's
efficiency and power density. FIG. 6 illustrates another
embodiment of the present invention which provides even higher
P0 values by means of tuned induction compressors for induction
ramming. The embodiment of FIG. 6 also provides reactant
preheating and thorough premixing. These features promote high
efficiency due to complete burning of reactants as well as rapid
burn rates for high frequency operation.
In FIG. 6 a resonator 42 is provided whose internal geometry is
similar in form and function to resonator 32 of FIG. 4.
Resonator 42 is resiliently mounted to the stationary
surrounding environment by springs 53, 55, 57, and 59 thereby
being unrestrained and free to vibrate along its cylindrical
axis z. Resonator 42 has spark plug 43, annular exhaust port 44
and annular exhaust plenum 46 whose functions are identical to
annular exhaust port 39 and annular exhaust plenum 38 of FIG. 4.
Mounted to each end of resonator 42 are identical acoustic
induction compressors 48 consisting of tuned plenums 50, first
stage valves 52 and second stage valves 54. Plenums 50 are
designed so as to have approximately the same resonance
frequency as resonator 42. Identical heat exchanger cowlings 56
are provided with fuel inlets 58 and oxidizer inlets 60.
Cowlings 56 need not be rigidly attached to resonator 42 but
must at least form a seal with resonator 42 to prevent reactant
leakage. If cowlings 56 were resiliently mounted so that they
need not vibrate with resonator 42, then they could provide both
heat insulation and noise suppression. Also, a single inlet
could be provided in each cowling for fuel and oxidizer rather
than the two respective openings shown.
Many alternator topologies can be annularly configured so as to
wrap around resonator 42. For example, FIG. 6 shows a variable
reluctance alternator 45 which is wrapped annularly around
resonator 42. Alternator 45 has annular armature 47 which is
rigidly connected to flange 62 of resonator 42, annular stator
49 which is resiliently connected to armature 47 via annular
spring 51 and annular linkage 61, drive coil 65 within annular
stator 49, and drive coil leads 67. Dynamically, alternator 45
will respond to the z axis vibration of resonator 42 in the same
manner as alternator 16 of FIG. 1 responds to the z axis
vibration of resonator 2.
FIG. 7 illustrates the dynamic and static pressure relationships
of the various stages of compression. In operation, the pulse
combustion driven standing wave is initiated by spark plug 43.
Reactant flow proceeds through inlets 58 and 60 at the inlet
pressure Pinlet-1 and through cowlings 56 where the reactants
pick up heat from the wall of resonator 42 and experience some
degree of flow mixing. The vibration of the entire generator
assembly will excite the fundamental resonance of tuned plenums
50. The resulting dynamic pressure inside tuned plenums 50 will
draw in the heated reactants from cowling 56 through valves 52
and into tuned plenums 50 thereby compressing the reactants to
the average plenum pressure P0-plenum. Inside tuned plenums 50
the reactants experience further mixing due to the initial
turbulent valve flow and then due to the cyclic acoustic
particle displacement.
The dynamic pressure inside plenums 50 will compress the
reactants again from the average plenum pressure P0-plenum up to
the plenum discharge pressure Pinlet-2 at which time the
reactants are discharged from plenums 50 through the 2@nd stage
valves 54 and into resonator 42. The overlap of the plenum's
peak acoustic pressure and the minimum acoustic pressure of
resonator 42 forces second stage valves 54 open once per cycle
thereby discharging the heated and mixed reactants into
resonator 42 for combustion. The passage of reactants through
valves 54 induces further mixing. The result of this process as
seen in FIG. 7 is an elevated average resonator pressure P0-res
due to the pressure lift provided by induction compressors 48.
Additional induction compressors could be staged if desired to
provide even higher P0-res values. Cowlings 56 also lend
themselves to acoustical resonance and could provide additional
dynamic pressure boost.
Consideration must be given to the acoustic design of resonant
plenums 50. As shown in FIG. 7, the phase between the plenum's
standing wave and the resonator's standing wave is essential to
the compression process. The plenum's resonance is driven by two
sources: the opening of 2@nd stage valves 54 and the vibratory
motion of the entire plenum. The superposition of these two
driving sources must be taken into account when designing the
plenum geometry. If the plenum resonant frequency is to be equal
to the resonator's, then the plenum design should ensure that
the valves are the weaker source.
Many improvements on the embodiment of FIG. 6 will suggest
themselves to those skilled in the art of tuned compressor or
engine plenums and pulse combustors. For example, the plenums
could be tuned to the resonator's 2@nd harmonic in which case
the 2@nd stage valves could act as the sole driving source and
the proper phases for induction ramming would be provided.
Further, the ratio of 1@st and 2@nd stage valve areas can be
used to increase P0-plenum and therefor P0-res. Still further,
if premixing of the reactants inside cowlings 56 is
objectionable for safety reasons, then individual oxidizer and
fuel cowlings can be used which would keep the reactants
separated up to the induction compressors. Similarly, individual
fuel and oxidizer lines could be wrapped in annular fashion
around the exterior of resonator 42, thereby being placed in
thermal contact with the hot resonator walls.
If a gaseous fuel supply pressure is high enough, then induction
compressors 48 could be used to compress only the oxidizer and
the fuel could be provided through a typical gas distributor
within resonator 42.
Electrically-driven motors are commonly used to drive standing
wave compressors as is well known in the art. These electric
motors supply the oscillating force needed for entire resonator
drive. The induction compressors of the present invention are in
fact standing wave compressors. As described above the pulse
combustor of the present invention can be used to directly drive
these induction, or standing wave, compressors by means of
entire resonator drive and is referred to herein as
engine-drive. In the same manner, the is engine-drive can be
used to drive a standing wave compressor for any application,
such as refrigeration and air-conditioning, air compression,
acoustic vacuum pumps, compression of commercial gases,
compression of natural gas, to name a few. In general,
engine-drive can be used to drive a RMS resonator for any of the
many RMS applications.
As an alternative to PC, the standing acoustic waves of the
present invention can be driven thermoacoustically. As
described, current proposals for thermoacoustically driven
electric generators require the coupling of a piston to an open
end of the acoustic resonator and allowing the vibrating piston
to drive a linear alternator. This piston would require a gas
seal such as a diaphragm or bellows which raises issues of
reliability. The dynamic forces produced by this system are
limited by acoustic pressure amplitude and by the surface area
of the piston.
Rather than being limited by a piston's surface area, the
present invention utilizes the entire inner surface area of the
resonator and so can generate very large dynamic forces. The use
of RMS resonators further increases the desired dynamic forces
by providing extremely high dynamic pressures.
FIG. 8 illustrates a thermoacoustically-driven embodiment of the
present invention. An explanation of thermoacoustic engine
fundamentals can be found in G. W. Swift, "Thermoacoustic
Engines," J. Acoust. Soc. Am. 84, 1169 (1988). In FIG. 8, a
rigid walled resonator 63 having heat plate stacks 64 is
operated in the prime mover mode as is well known in the art of
thermoacoustic engines. Resonator 63 is resiliently mounted to
the stationary surrounding environment by springs 72 and 74
thereby being unrestrained and free to vibrate along its
cylindrical axis z. Heat is applied at heat exchangers 66 and
extracted at heat exchangers 68 so as to provide a temperature
gradient along the plate stack sufficient for driving the
standing acoustic wave. Once the standing wave is established
its oscillating pressure exerts dynamic force, against the walls
of resonator 63 causing it to vibrate as a rigid body along z at
the acoustic frequency in response to these dynamic forces. As
before, a generator 70 is shown schematically which converts the
z axis vibration of resonator 32 into electric power.
The art of thermoacoustic engines is well developed and will
suggest many methods and techniques to one skilled in the art
for implementing the embodiment of FIG. 8. For example, the use
of two plate stacks is optional. In addition, plate stacks can
be used with RMS resonators to achieve high pressure amplitudes
for a desired waveform and with all of the advantages previously
described. Further, heat sources used for the embodiment of F
IG. 8 could include waste heat from a PC generator of the type
described above, waste heat from other processes, direct
combustion of fuels as well as solar energy to name a few.
While the above description contains many specifications, these
should not be construed as limitations on the scope of the
invention, but rather as an exemplification of preferred
embodiments. Thus, the scope of the present invention is not
limited to specific pulse combustor designs or thermoacoustic
designs.
The present invention can be applied wherever electrical power
is needed. Frequency locking the PC embodiments of the present
invention to the local power grid frequency may be achieved for
example with spark timing, the timing of actuated valves such as
rotary valves or with variably-tuned resonator branches. In this
way, the generated electric power could be linked to the local
grid. The AC output from the alternator could be converted to
other frequencies or to DC. PC generators could be used as the
onboard power source for hybrid electric vehicles, including
those that store energy in mechanical flywheels where gas
turbines are currently used. The present invention can be sized
for various power output requirements.
The PC literature provides a diversity of pulse combustor
designs and enhancements including the use of gaseous or liquid
fuels, fuel distributor heads, the number of valves used, valved
and areovalved combustors, multiple combustors, fuel-oxidizer
mixing, valve styles including flappers, Tesla valves, and
rotary valves. Many of these concepts can be seen in the
following publications: A. A. Putnam, F. E. Belles, and J. A. C.
Kentfield, "Pulse Combustion," Prog. Energy Combust. Sci. 12, 43
(1986), J. C. Griffiths, E. J. Weber, "The Design of Pulse
Combustion Burners," Research Bulletin 107, American Gas
Association Laboratories (1969), P. S. Vishwanath, "Advancement
of Developmental Technology for Pulse Combustion Applications,"
Gas Research Institute Report No. GRI-85/0280 (1985) the entire
contents of which are all hereby incorporated by reference. The
application of currently available PC design information to the
present invention will suggest itself to those skilled in the
art.
WO9927636
ACOUSTIC RESONATOR POWER DELIVERY
A vibrational acoustic unit comprises a dynamic force
motor (28), a power take-off spring (34) having one end attached
to the dynamic force motor (28) and the other end attached to a
fluid filled acoustic resonator (38). The motor (28) oscillates
the entire acoustic resonator (38) so as to excite a resonant
mode of the acoustic resonator (38). A method of delivering
power to an acoustic resonator (38) comprises resiliently
connecting a motor (28) to the resonator (38), and driving the
motor (28) to oscillate the entire acoustic resonator (38) so as
to excite a resonant mode of the acoustic resonator (38).
BACKGROUND OF TEE INVENTION
Field of Invention
This invention relates to power delivery systems for the
transduction of mechanical power into acoustic power through the
oscillation of an entire resonator to excite a resonant mode,
having applications to any acoustic resonator shape.
Description
of Related Art
There are a number of different ways to deliver power to a
standing acoustic wave which are known in the field of
acoustics. The method of entire resonator driving, as described
in U. S. patents 5,319,938 and 5,515,684, depends on vibrating
the entire resonator back and forth in order to use the
resonator's inner surface area as the power delivery surface.
This approach requires a motor that provides a dynamic force to
create the resonator oscillation.
As shown in U. S. patents 5,319,938 ; 5,231,337 ; and 5,515,684,
incorporated herein by reference, motors used for entire
resonator driving typically comprise two moving motor
components. FIG. 1 illustrates a prior art device where motor
component 4 is rigidly connected to the fluid-filled acoustic
resonator 2, and motor component 6 is resiliently mounted to
motor component 4 by a spring 8. When a dynamic force is
generated between these two motor components, they move
dynamically in reactive opposition to each other, thus causing
the entire resonator to oscillate so that power is delivered to
the fluid. The heaver motor component 6 may be resiliently
connected to ground.
FIG. 2 shows a lumped element diagram of the prior art device of
FIG. 1. The fluid within the resonator is modeled as spring 14
and mass 12. Associated with each spring is a damper. Since
motor mass 4a and resonator mass 2a are rigidly connected they
comprise a single moving mass of the system.
Power is delivered to the standing wave according to 1/(2X)
FAsinE,(2X) FAsinE, where Z = 2wf with f being the drive
frequency, F is the magnitude of the force exerted at the face
10 of motor mass 4a, A is the magnitude of the acceleration of
motor mass 4a and the resonator mass 2a, and 0 is the (temporal)
phase angle between F and A. The motor must supply not only the
force needed to deliver power to the acoustic load but also to
directly oscillate motor mass 4a and resonator mass 2a back and
forth. The force required to oscillate masses 2a and 4a is not
delivered to the acoustic load. However, generating this
mass-driving force results in energy losses due to the motor's
transduction efficiency and thus reduces the overall efficiency
of the power delivery system.
A further source of inefficiency in the prior art system shown
in FIGS. 1 and 2 is its limited control of the power factor
sin0. If 0 = 90 then the power factor sinA =1. If # assumes
values progressively less or greater than 90 then the required
motor force increases thus minimizing the energy efficiency of
the power delivery system. Adjusting the resonator mass 2a and
the motor mass 4a can help tune the power factor toward unity,
but structural stiffness and pressure rating requirements for
the resonator as well as design requirements for the motor will
limit the degree of freedom to make such adjustments.
It is well known in the art of vibrational motors that adjusting
the stiffness of spring 8a of FIG. 2 in order to tune the
mechanical resonance close to the acoustic resonance will reduce
the required motor force for a given power delivery. However,
this can result in greatly amplified displacements between the
moving components which generate excessive noise and higher
spring stresses. A control is generally required to keep the
drive frequency locked to the acoustic resonance since sound
speed changes due to heating and other effects will cause the
acoustic resonant frequency to drift during operation. If the
mechanical resonance frequency is tuned close to the acoustic
resonance, then severe control problems can occur due to
resonance repulsion phenomena if the resonant frequency drift
brings the two resonant peaks too close together.
SUMMARY OF
THE INVENTION
It is an object of the present invention to provide a power take
off (PTO) spring between a dynamic force motor and a resonant
acoustic load which for a given acoustic power delivery reduces
the required motor force, reduces the motor size requirement,
allows greater control of mechanical power factor, reduces motor
energy dissipation losses due to lower required forces thus
improving system efficiency, allows tuning of all the relative
displacements and phases of all oscillating mass components, and
allows greater design flexibility on overall motor topology.
These and other objects and advantages of the invention will
become apparent from the accompanying specifications and
drawings, wherein like reference numerals refer to like parts
throughout.
The invention may be characterized as a vibrational acoustic
unit comprising a dynamic force motor, a power take-off spring
having one end attached to the dynamic force motor and the other
end attached to a fluid filled acoustic resonator, wherein the
entire acoustic resonator is oscillated so as to excite a
resonant mode of the acoustic resonator.
The invention may also be characterized as a method of
delivering power to an acoustic resonator comprising the steps
of resiliently and exclusively connecting a motor to the
resonator, and driving the motor to oscillate the entire
acoustic resonator so as to excite a resonant mode of the
acoustic resonator.
The invention may further be characterized as a method of
driving an acoustic resonator comprising the steps of connecting
a motor to the resonator using a resilient connection, and
driving the motor to oscillate the entire acoustic resonator so
as to excite a resonant mode of the acoustic resonator, the
motor exciting the resonant mode through the resilient
connection.
BRIEF
DESCRIPTION OF TEE DRAWINGS
FIG. 1 illustrates a prior art acoustic power delivery
device;
FIG. 2 is a lumped element diagram of the FIG. 1 prior
art device;
FIG. 3 illustrates an embodiment of the present invention
having a two-mass dynamic force motor;
FIG. 4 is a lumped element diagram of the embodiment of
FIG. 3;
FIG. 5 illustrates an embodiment of the present invention
having a two-mass dynamic motor including a flat lamination
variable-reluctance EI motor;
FIG. 6 illustrates an embodiment of the present invention
having a two-mass dynamic motor including a tape-wound
lamination variable-reluctance motor;
FIG. 7 illustrates an alternative magnetic structure for
a variable-reluctance two-mass dynamic motor; and
FIG. 8 illustrates an embodiment of the present invention
having a single-mass flexing motor, which could include a
piezoelectric element or a magnetostrictive element.

DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS
FIG. 3 illustrates an embodiment of the present invention where
a power take off (PTO) spring 20 has been added to the prior art
device of FIG. 1 between the moving motor mass 18 and resonator
22. In operation, an dynamic force of frequency f is created
between motor mass 14 and motor mass 18 which causes motor
masses 14 and 18 to oscillate at frequency f in reactive
opposition to each other. The periodic displacement of motor
mass 18 causes a dynamic force to be transmitted through spring
20 to resonator 22 which in turn causes a periodic displacement
of resonator 22 at frequency f. If frequency f is equal to a
standing wave mode frequency of the resonator which can be
excited by the resonator's motion, then the periodic
displacement of resonator 22 will transfer energy to that mode.
FIG. 4 provides a lumped element diagram of the embodiment of
FIG. 3, comprising motor mass 14a, motor mass 18a, motor spring
16a, PTO spring 20a, resonator mass 22a, fluid spring 24 and
fluid mass 26. When a mode of resonator 22 iq being driven, the
phases between the displacements of all masses 14a, 18a, 22a,
and 26 are determined by the respective mass values and by the
respective stiffness and damping values of motor spring 16a, PTO
spring 20a, and fluid spring 24.
Adjusting the stiffness of PTO spring 20a of FIG. 4 provides a
means to tune the mechanical power factor seen by the motor
(represented by masses 14a and 18a) as it delivers power to the
resonator, thus reducing the motor force required for a given
power delivery to the load.
PTO spring 20a also prevents rigid coupling of resonator mass
22a with motor mass 18a, thereby making possible designs which
reduce the motor force required for a given power delivery to
the load. Reducing the required motor force results in reducing
energy losses resulting from the motor's transduction efficiency
and thus improves the overall efficiency of the power delivery
system.
Reducing the required motor force also reduces the required size
of the motor, thus reducing the amount of motor materials
required for a given power delivery to the load.
PTO spring 20a of FIG. 4 allows power factors approaching unity
to be achieved without having to tune any of the mechanical
resonances, associated with springs 16a and 20a, close the
driven acoustic resonance. Thus, component displacements are
minimized, noise is reduced, and excessive spring stresses are
avoided. Providing high power factors, without the risk of
crossing acoustical and mechanical resonance frequencies,
eliminates the severe control problems which occur due to
resonance repulsion phenomena.
The stiffness of each mechanical spring can be chosen so that
(i) the mechanical resonance frequency where motor spring 20a
sees its maximum displacement is above the acoustic resonance
frequency and (ii) the mechanical resonance frequency where
spring 16a sees its maximum displacement is below the acoustic
resonance frequency.
This design provides two preferred operating characteristics.
First, fluid heating may cause the acoustic resonance frequency
to increase during operation and this design assures that the
acoustic resonance frequency will not cross the mechanical
resonance frequency associated with the maximum displacement of
spring 16a. Second, provided that the mechanical resonance
frequency associated with the maximum displacement of spring 20a
is sufficiently above the acoustic resonance frequency so that
the two resonances never overlap during operation, then some
benefit can be derived. As the acoustic resonance frequency
increases, accelerations can also be made to increase thereby
transferring more power to the load for the same motor force.
Proper selection of component mass and spring stiffness can also
cause the power factor measured at the air gap to improve as the
acoustic resonance frequency increases.
In general, the addition of PTO spring 20a allows greater system
design flexibility, since the properties of each mechanical
element are more independent. PTO spring 20a allows tuning of
all the relative component displacements, relative displacement
phases, and component masses.
The power delivery unit should be resiliently mounted to ground,
since each component of the system oscillates.
For a given design, the specific acceleration of masses depends
on the mass of each component and stiffness and damping of each
spring. The mass with the lowest acceleration provides a good
point for resilient mounting to ground.
FIG. 5 shows a cross sectional view of a variable reluctance
motor used as a two-mass dynamic force motor in accordance with
the present invention. The variable reluctance motor consists of
a first motor mass 28 formed by a stack of flat"E"laminations
rigidly joined together so that the stack forms a single unit, a
second motor mass 30 formed by a stack of flat"I"laminations
rigidly joined together so that the stack forms a single unit, a
conducting coil 32 wound around the center leg of the E
lamination stack, leaf springs 34, with levels 34a and 34b,
which resiliently join the first and second motor masses 28 and
30 together via carriages 35 and 37, and a PTO leaf spring 36
which resiliently connects the second motor mass 30 to resonator
38. Second motor mass 30 is rigidly connected to carriage 35,
and first motor mass 28 is rigidly connected to carriage 37.
Carriages 35 and 37 slide back and forth relative to one
another.
The motor laminations can be constructed of silicon steel
laminations which are typically used in transformers.
The mass of carriage 35 may be considered to be part of the
second moving mass, and the mass of carriage 37 may be
considered to be part of the first moving mass. The space
between the three legs of the E laminations and the
I laminations comprises an air gap 40. The two levels of leaf
springs 34, levels 34a and 34b, allow planer relative motion of
second motor mass 30 and first motor mass 28 so as to keep the
instantaneous air gap 40 everywhere uniform. Single level
springs or any other spring topology could also be used which
provide planer motion of the components.
In operation, when an alternating current is established in coil
32 a time varying magnetic flux is created within air gap 40
which is accompanied by a static attractive force and a time
varying attractive force between the first and second motor
masses 28 and 30. Motor masses 28 and 30 respond to this time
varying force by oscillating in reactive opposition to each
other. Leaf springs 34 provide a bias force to prevent the
attractive force from drawing motor masses 28 and 30 together
while still allowing them to oscillate. The periodic oscillation
of motor mass 30 applies a dynamic force through PTO spring 36
to resonator 38, thus causing resonator 38 to oscillate along
its cylindrical axis. If the oscillation frequency of resonator
38 is equal to one of the standing wave mode frequencies which
can be excited by the resonator's motion, then the periodic
displacement of resonator 22 will transfer energy into that
mode. Variable reluctance motors provide high energy efficiency
when small displacements and large forces are required, which is
typically the case for acoustic resonators.
FIG. 6 shows a variable reluctance motor used as a two-mass
dynamic force motor in accordance with the present invention,
which reduces the portion of total magnetic losses caused by
non-grain oriented magnetic flux. The variable reluctance motor
consists of a first motor mass 40 formed by tape-wound
laminations and joined to each other so as to form a single
unit, a second motor mass 42 formed by tape-wound laminations
and joined to each other so as to form a single unit, a
conducting coil 44 wound around the center leg of the first
motor mass, leaf springs 46 which resiliently join the first and
second motor masses 40 and 42 together via carriages 47 and 49,
and a PTO leaf spring 48 which resiliently connects the second
motor mass 42 to resonator 50. The mass of carriage 47 may be
considered to be part of the second moving mass, and the mass of
carriage 49 may be considered to be part of the first moving
mass. In operation the motor of FIG. 6 operates in the same
manner as the motor of FIG. 5.
FIG. 7 illustrates an alternative magnetic structure for a
variable-reluctance motor having first motor mass 52 formed of
two tape-wound laminations and a second motor mass 54 formed of
a single tape-wound lamination.
While second motor mass 54 does not prevent cross-grain field
orientation, it does provide a simple and very rigid structure
having ends 56 and 58 which provide convenient connection points
for springs, carriages or other hardware. Many combinations of
tape-wound and stacked flat lamination components can be
combined based on given design requirements and will suggest
themselves to those skilled in the art.
The PTO spring of the present invention can be used in
combination with any type of dynamic force motor. All motors may
be thought of as providing a dynamic force to a member causing
some movement in that member, however small. Thus, all the
motors, including all motors described herein are dynamic force
motors.
Fig. 8 describes another type of dynamic force motor.
Fig. 8 illustrates an embodiment of the present invention having
a PTO spring 64 with one end connected to a flexing dynamic
force motor 60 and the other end connected to a resonator 66.
Reaction mass 62 is preferably rigidly connected to flexing
dynamic motor 60 at an end 61 thereof. Reaction mass 62 may be
also be resiliently connected to flexing dynamic motor 60 at end
61, and in this case it is preferred that the resilient
connection be relatively stiff compared to the spring constant
or stiffness of PTO spring 64. Flexing dynamic motor 60 can be a
piezoelectric element, a magnetostrictive element, or any other
element which provides a dynamic force by periodically flexing
or changing its overall dimensions.
In operation motor 60 of FIG. 8 undergoes a periodic change in
its dimension thus creating a dynamic force of frequency f which
is communicated to resonator 66 through PTO spring 64. In
embodiments in which the dynamic force motor 60 has a small mass
relative to that of the reaction mass 62, the force of the motor
60 is effectively transferred to the resonator 66 by virtue of
the reaction mass 62 and PTO spring 64 which causes the periodic
displacement of resonator 66 at frequency f.
Reaction mass 62 prevents excessive accelerations of the
reaction mass end 61 of motor 60 and maximizes the force of
motor 60 applied to PTO spring 64. If the frequency f is equal
to a standing wave mode frequency of the resonator which can be
excited by the resonator's motion, then the periodic
displacement of resonator 66 will transfer energy into that
mode. The embodiment of FIG. 8 can be operated without PTO
spring 64 by rigidly connecting motor 60 to resonator 66.
However, this would eliminate the advantages described above.
It may be seen that the embodiments of the invention utilize the
PTO spring as the exclusive mechanism to couple the active force
components of the motor to the resonator. Thus, the moving
elements of the motor which are effective in causing oscillation
of the resonator are isolated from the resonator by the
resilient coupling mechanism, i. e., the PTO spring. In
contrast, prior art devices couple the motor to the resonator by
a rigid connection and do not utilize a PTO spring as the
primary force path from the motor to the resonator.
While the above description contains many embodiments of the
invention, these should not be construed as limitations on the
scope of the invention, but rather as an exemplification of
preferred embodiments thereof.
Other embodiments which will occur to those skilled in the art
are within the scope of the present invention.
For example, any motor which generates a dynamic force can be
employed such as off-concentric rotational motors,
electrodynamic motors, and electromagnetic motors.
Variable reluctance motors need not use only laminations but can
be formed from pressed materials that have multidirectional
grain properties so as to avoid off-axis grain magnetic losses.
The springs may comprise any spring type which accommodates a
particular design such as coil springs, leaf springs, bellville
springs, magnetic springs, gas springs or other devices that
provide a resilient coupling. The fluids within the resonators
of the present invention can be either liquids or gases. Any
type of acoustic resonator can be used including cylindrical
resonators or Resonant Macrosonic Synthesis (RMS) resonators of
any shape as described for example in U. S. patents
5,515,684,5,319,938, and 5,174,130 the entire contents of which
are hereby incorporated by reference.
It should further be appreciated that an excited resonance mode
of the resonator may generally take place anywhere on the
resonance response curve as, for example, at full or near full
power, at half power points, quarter power points or the like.
Thus a resonant mode can be excited over a range of frequencies.
The scope of the present invention is not limited to particular
applications of the acoustic resonator to which power is
delivered. For example the present invention can be applied to
acoustic resonators for oilless acoustic compressors and pumps
for air compression, refrigeration, comfort air-conditioning,
hazardous fluids, ultra-pure fluids, natural gas, and commercial
gases; acoustic resonators for process control ; acoustic
resonators used as process reactors for chemical and
pharmaceutical industries ; acoustic resonators for separation
of gases including pressure swing adsorption ; and acoustic
resonators for agglomeration, levitation, mixing, and
pulverization to name a few. Such applications may or may not
include RMS resonators.
While omitted for clarity, such applications of the invention
may utilize inlet/outlet valves and heat exchange apparatus as
shown in Figure 13 of patent 5,319,938 and Figure 16 of patent
5,515,684.
Accordingly, the scope of the invention should be determined not
by the embodiments illustrated, but by the appended claims and
their equivalents.
US6230420
RMS process tool
Physical effects produced within RMS resonators are utilized as
a means to process materials within the resonator including for
example one or more of comminution, converting liquids into
vapors and gases, drying of powders, rapid mixing of gases and
various materials, agglomeration, de-agglomeration, granulation,
chemical reactions, stratification/separation, and the
destruction of biological material.
BACKGROUND
OF THE CURRENT INVENTION
1) Field of
Invention
This invention relates to the application of Resonant Macrosonic
Synthesis (RMS) for the purposes of processing materials within
an RMS resonator including, for example, comminution, converting
liquids into vapors and gases, drying of powders, mixing of
dissimilar materials, agglomeration, de-agglomeration,
granulation, sterilization of gases, destruction of biological
materials, separation by stratification, and coal gasification.
2)
Description of Related Area
Previously, the processing of materials such as comminution,
converting liquids into vapors and gases, drying of powders,
rapid mixing of gases and various materials including mixtures
of particulate solids, agglomeration, de-agglomeration, and
granulation required a wide range of different processing
equipment. Examples of such equipment can include rotary
cutters, hammers, rollers, fluid-energy mills, ovens, and
various filtration machines.
If the manufacture of a product requires more than one of these
processes, then the product will often be progressively
transferred from one machine to another. This can create
disadvantages, due to reduced yield, product contamination,
longer process time, and high production costs and worker
exposure to processing agents.
A single process tool that can provide multiple process steps
without product transfer and in a simpler manner would provide a
significant advantage to the process industry.
SUMMARY OF
THE INVENTION
It is the object of an embodiment of the present invention to
utilize the physical effects produced within RMS resonators as a
means to process materials within the resonator including for
example one or more of comminution, converting liquids into
vapors and gases, drying of powders, rapid mixing of gases and
various materials, agglomeration, de-agglomeration, granulation,
chemical reactions, stratification/separation, and the
destruction of biological material.
A further object of an embodiment of the invention is to provide
a method for processing materials in a self-contained, scaled
tool for batch.
A still further object is to provide a process tool capable of
generating a broad range of physical effects, such that multiple
process steps can be performed within a self-contained, sealed
tool, which may include simultaneous and sequenced process in a
batch and/or continuous manner.
Yet another object of an embodiment of the invention is to apply
an RMS acoustic process tool to process materials.
The RMS acoustic process tool (APT) of the present invention
consists of an RMS system including an acoustic resonator
capable of producing: an extremely large range of dynamic
pressures, both pumping and levitation via nonlinearly-generated
DC pressures, high acoustic particle velocities, streaming
velocities, and turbulence. The APT also includes an
entire-resonator drive system capable of providing the power
necessary to produce these effects.
The shape of the APTs resonator is chosen to promote the
specific effect(s) listed above, which will provide the desired
process or processes. Inside the resonator is a fluid that
serves as the medium within which an acoustic standing wave is
created. The fluid can consist of a liquid, a gas, a vapor, a
vapor-gas mixture, a liquid or particulate aerosol, or a mixture
of any number of the forgoing fluids. The method of operation is
such that as the actuator oscillates the entire resonator at the
frequency of one of its acoustic modes, a standing acoustic wave
is produced.
One of the advantages of the APT is the number of different
process that can be performed within the same tool during a
single processing session. Materials within the resonator are
exposed to physical effects, such as high dynamic pressures,
levitation via nonlinearly-generated DC pressures, acoustic
particle velocities, streaming velocities, and turbulence. The
relative magnitude of these effects is determined by the
resonator's shape and the power delivered Depending upon the
materials introduced into the resonator, these physical effects
promote various types of processing including one or more of:
the size reduction of solid matter (comminution), agglomeration,
de-agglomeration, granulation, the vaporization/atomization of
liquids, the drying of powders, the nixing of dissimilar
materials such as gases, vapors, and powders, destruction of
biological material, and chemical reactions.
The rate at which these processes occur can be controlled by
varying the power delivered to resonator. Many of these
individual process can be combined to occur concurrently or in a
desired sequence within a single APT by varying the input power
level.
Another advantage of the APT is that the high kinetic energy
required for certain processes such as rapid mixing, rapid
de-agglomeration, and communition are created within the
resonator via the stored energy of the standing wave. This
internal energy source eliminates the need for external energy
sources that are outside of the tool, such as external pumps or
compressors.
These and other objects and advantages of the invention will
become apparent from the accompanying drawings, wherein like
reference numerals refer to like parts throughout.
BRIEF
DISCRIPTION OF THE DRAWINGS
FIG. 1 is a sectional view of an acoustic process tool
(APT) in accordance with the present invention;
FIG. 2 is a partially sectional view of a batch operation
as applied to the de-agglomerating of a pharmaceutical cake
inside of a blister.
FIG. 3 is a sectional view of an APT in accordance with
the present invention that provides various targets for
improving process results and various inlet and outlet tubes
for either batch or continuous operation;
FIG. 4 is a graphical representation of the DC pressure
distribution within the APT of FIG. 3,
FIG. 5 shows an alternate piston arrangement for driving
the resonator.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
FIG. 1 illustrates an acoustic process tool (APT) 2 having
driver 4 and resonator 6 being constructed so as to provide a
sealed (air-tight) chamber and being filled with a fluid.
Materials to be processed are placed in the interior 8 of
resonator 6. The material to be processed can be added to
resonator 6 in many ways as for example through conduit 10,
which can be located anywhere on the process tool 2. In general,
the internal geometrical shape of resonator 6 will determine the
pressure and velocity distributions and waveforms within
interior 8 as described in U.S. Pat. No. 5,515,684 incorporated
herein by reference. Entire resonator driving, as illustrated in
FIG. 1, is described in U.S. Pat. No. 5,515,684, U.S. Pat. No.
5,319,938, and U.S. patent application Ser. No. 08/979,931 now
U.S. Pat. No. 5,994,854, the entire contents of which are all
hereby incorporated by reference. FIG. 5 is derived from FIG.
15B of U.S. Pat. No. 5,515,684, and illustrates an alternate
driving mechanism for the RMS resonator 74 using piston or
diaphragm 80' and electromagnetic driver 94'. The scope of the
present invention is not limited to the shape of resonator 6 in
FIG. 1, but instead can have an infinite variety of shapes. The
specific resonator shape and its resulting characteristics will
be chosen by the designer to fulfill the requirements of a
particular application.
In operation driver 4 oscillates resonator 6 at the frequency of
an acoustic standing wave mode thereby creating a standing
acoustic wave within resonator 6. The driver is supplied with a
variable power supply 3 to permit control of the acoustic energy
within the chamber. In this way standing waves with extremely
high energy densities can be generated, which provide a range of
physical effects employed by the present invention. The physical
effects produced include one or more of high dynamic pressures,
high ambient temperatures, high dynamic temperatures, levitation
via nonlinearly-generated DC pressures, high acoustic particle
velocities, high streaming velocities, and turbulent flow
volumes of high scale that can fill a substantial portion of the
resonator's internal volume. U.S. Pat. No. 5,515,684 teaches
that excessive turbulence can increase the energy dissipation
within a resonator and also teaches methods to minimize the
turbulence. For certain RMS applications, such as acoustic
compressors, energy efficiency can be increased by minimizing
turbulence. In contrast, many of the processes of the present
invention are enhanced by the turbulence that is easily created
by the high acoustic velocities that RMS resonators can provide.
RMS resonators generate the high energy densities and physical
effects required for APT's to function and enable the new
processing approaches that ATP's provide. These physical effects
and their application to particular processes are described as
follows.
1)
Comminution
Acoustic comminution is facilitated by high amplitude standing
waves that produce high acoustic velocities, high streaming
velocities, turbulent flow, and levitation.
The acoustic standing wave exists in the host gas that fills
resonator 6. The host gas can be air or any number of other
gases and will be at a pressure that is appropriate for a given
process. Assuming for example that the first longitudinal mode
of resonator 6 is excited, then the host gas within the
resonator will oscillate back and forth along the resonator's
cylindrical axis, changing direction twice during a single
acoustic cycle. In RMS resonators, these oscillating axial
velocities can approach and potentially exceed the quiet
condition sound speed (MACH 1) in that gas.
Other flows within the gas that exert forces on the process
particles are nonlinearly-driven streaming velocities and
turbulent flow. At high acoustic amplitudes streaming flow loops
are generated between pressure nodes and anti-nodes and are also
created by the particles themselves. The streaming velocities
created by the particles can exceed the node-to-antinode
streaming velocities. Also, at high amplitudes the oscillating
axial flow transitions from laminar flow to turbulent flow.
Another effect due to the presence of the high amplitude
acoustic wave within resonator 6 is the nonlinearly driven, so
called, "DC pressure." As known to those skilled in the art, the
DC pressure varies along the axis of the resonator forming a
static pressure gradient. This static gradient can levitate
objects within the resonator. The shape and symmetry of
resonator 6 will result in a DC pressure distribution having a
maxima at ends 12 and 14 and a minima at the half-length point
16. FIG. 4 illustrates the type of static pressure distribution
that would be expected within resonator 6. This DC pressure
gradient will tend to push the process particles away from ends
12 and 14 and towards the center of resonator 6.
When the particles to be comminuted are placed within resonator
6 of FIG. 1 they are typically subjected to all of the forces
described above. Levitation tends to push the process particles
away from ends 12 and 14 and keeps them where oscillating axial
flow, turbulent flow, and streaming flows are high The
oscillating axial flow will exert a force on the process
particles that will tend to move them in the direction of the
instantaneous axial flow. As the particle is accelerated back
and forth in response to these oscillating axial forces it is
also propelled through the turbulent flows and streaming flows.
The particle itself also creates streaming flows that in turn
create further unbalanced forces that will accelerate the
particle.
Consequently, the process particles experience collisions with
the walls of resonator 6 and with each other. RMS resonators can
provided energies high enough such that these particle-wall and
particle-particle collisions will break the process particles
into smaller pieces, and thereby provide comminution. The
present invention has been used to comminute materials such as
whole coffee beans, salt, sugar, and other materials. Micron and
sub-micron (i.e. nano-phase) sizes can be achieved.
The actual velocities achieved by the process particles will
vary inversely with particle size. When particles are first
introduced within resonator 6, their oscillating axial
displacement will typically be a fraction of the host gas'
displacement.
It is the nature of an APT that nearly all of the resonator's
interior volume can be substantially filled with high velocity
flow so that process particles are almost continually undergoing
comminution. In this way the results of the process are enhanced
and rapid efficient comminution is provided.
The APT comminution process can be employed in many processes
such as the comminution of pharmaceutical agents, manufacture of
printer toner, gasification of coal, recovery of precious metals
from stone and other geological specimens, and plastics
recycling.
2)
Destruction of biological materials
The extremely high dynamic, pressures, dynamic temperatures,
axial and turbulent velocities generated within an RMS resonator
can be used to sterilize air and other gases by destroying
bacteria and viruses via exposure to high temperatures and
through high energy impacts as previously described for
comminution.
3)
Agglomeration and de-agglomeration
As acoustic amplitudes are increased from very low levels, the
different physical effects previously described will vary in
magnitude. At amplitudes low enough to avoid substantial
turbulence, the combined effects of levitation and acoustically
generated flows will lead to agglomeration of particulate
process materials. Applications for agglomeration include
pollution abatement through the removal of ash and other
combustion products from air. Also, by injecting a
granulation-promoting substance (a "binder" as it is commonly
called) inside of resonator 6 of FIG. 1, granulation can be
accomplished inside the APT.
When the acoustic amplitudes are increased beyond the
agglomeration level the agglomerated materials within resonator
6 of FIG. 1 will be de-agglomerated in the same manner and
according to the same principles as described above for
comminution. If so desired, low amplitude agglomeration inside
the APT can be avoided by starting the process at energy levels
high enough for de-agglomeration. For many applications,
de-agglomeration involves the breaking of weak bonds between
preexisting particles which were formed prior to the
de-agglomeration process. As such, the acoustic amplitudes
required for de-agglomeration will be less than those required
for comminution. This will be the case for applications such as
pharmaceutical processing where care must be taken not to alter
the de-agglomerated particle size nor to alter the properties of
the process materials with excessive temperatures and pressures.
The APT can be adjusted to run at the energy level appropriate
for a given application by reducing the drive power to the
motor.
De-agglomeration applications are found for example in the
pharmaceutical industry both for continuous and batch
operations. One particular manufacturing process results in an
agglomerated cake inside of a sealed blister as shown in FIG. 2.
The cake must be de-agglomerated into a powder to place the
product in its intended form for use. In FIG. 2 a pharmaceutical
blister pack or strip 18 includes a series of blisters 20 with
each blister 20 containing an agglomerated cake 22. In this
embodiment of the present invention, each blister 20 is
supported on blister strip 18 and serves as the resonator. Each
blister 20 is filled with an appropriate gas and has a shape
that is designed to provide acoustic de-agglomeration as
previously described. A blister volume is typically less than 1
cc and contains an agglomerated cake of even smaller volume.
Entire resonator drive is employed via ultrasonic horn 24, which
is driven by ultrasonic driver 28 connected to variable power
supply 23. Axial displacements of the horn are small enough to
allow the blisters to remain connected to the blister strip
during resonant driving. Many other types of drivers can also be
used Horn 24 is temporarily but rigidly joined to horn cap 26
during resonant driving. Ultrasonic horn 24 and horn cap 26 are
shown in cross section and provide a means to oscillate the
entire blister 20 along its cylindrical axis at the desired
resonance frequency and also provide extra rigidity to blister
20 if needed.
To minimize electronic controls the ultrasonic horn can be swept
through the blister's resonance frequency once or multiple times
to excite the acoustic mode and de-agglomerate the cake. The
sweep rate would be adjusted so as to allow the acoustic
amplitude within blister 20 to reach the appropriate level for
de-agglomeration. This process can be automated into steps so
that horn 24 and horn cap 26 separate and retract after
de-agglomeration of a blister, the sheet of blisters is advanced
and horn 24 and horn cap 26 reengage the next blister. Many
transducers can be operated in parallel at once to increase the
yield of the same process.
4)
Reduction of liquid-to-vapor and liquid-to-gas
The process of vaporizing liquids is accomplished, within
resonator 6 of FIG. 1, in the same manner and according to the
same principles as described above for comminution. RMS
resonators can provide enough energy not only to vaporize
liquids into droplets but to further reduce droplets to the gas
phase. As in the case of de-agglomeration, care must be taken to
use the energy required to provide the desired result, whether
it be a vapor, a gas, or disassociated molecules The APT can be
adjusted to run at the energy level appropriate for a given
application by reducing the drive power to the motor.
Typical applications can include vaporization of fuels for
combustion processes and combustion engines; vaporization of
liquids for chemical, pharmaceutical, food and beverage,
materials science, and electronic device manufacturing; and
vaporization for respiratory drug delivery, where liquid and
solid particulate aerosols must be created.
5) Mixing
of various process materials
The process of mixing various materials, such as liquid vapors,
gases, and powders is accomplished, within resonator 6 of FIG.
1, in the same manner and according to the same principles as
described above for comminution. APTs can rapidly generate
high-density aerosols. The complex flow field created by the
superposition of the oscillating axial flow, the turbulent flow,
and the streaming flows can provide extremely rapid mixing of
various materials. For each particular combination of process
materials, care should be taken to use energy levels that will
not alter the desired properties of the materials.
Typical applications include rapid gas mixing for chemical and
pharmaceutical applications, rapid fuel-air mixing for
combustion engines and other combustion processes, and mixing of
gases and nanophase particles for film depositions, and
electronic device manufacturing processes.
6) Drying
The physical effects previously described for comminution will
accelerate the drying of process materials. A drying process
within a APT may require a flow of dry and/or heated gas through
the tool. In FIG. 1, a superimposed dry gas flow can be provided
by pumping the dry gas into resonator 6 via tube 10 and allowing
the used gas to exit resonator 6 through tube 11. The
application of microwaves provides another means of applying
heat to the process materials during processing, wherein the
resonator can act as a microwave cavity. While RMS resonators
provide the advantage of a sealed system, they can also operate
when opened to the external environment as required by the
presence of tubes 10 and 11. The tubes can be provided with
appropriate filters to prevent any loss of the process
materials.
7) Abrasion
or "sand blasting"
Abrasive particulates can be used within the APT to "sand blast"
a solid object rigidly fixed within the resonator. Repeated high
velocity impacts of such abrasive particulates with the surface
of the solid object will result in the abrasion of the object's
surface. In this way, highly complex shapes may be processed so
as to, for example, clean the object of scale, paint, rust,
oxides, and other undesired surface coatings without exposure of
human operators to dust and particulates resulting from the
abrasion process.
8) Chemical
processes
The process tool of the present invention can also be used to
drive chemical reactions. RMS resonators can provide extremely
high dynamic pressures, dynamic temperatures, and kinetic
energies for use in enhancing chemical reactions.
For example, the process time required for thermally-driven
chemical reactions will normally include time for heating and
cooling the reactor. Thermally-driven chemical reactions can be
controlled in a new way in the APT. The high dynamic
temperatures generated within a RMS resonator can be used to
turn a chemical reaction off and on at the acoustic frequency.
By varying the input power to the resonator the dynamic
temperature amplitude can be varied, which in turn will change
the fraction of the acoustic cycle during which the reaction
temperature requirement (high or low) is met. Thus, by varying
the power input to the resonator, a nearly instantaneous control
over the rate of reaction would be provided.
High kinetic energies achieved within an RMS resonator can be
used to accelerate catalytic reactions, when a catalyst is
placed within the resonator. A catalyst can be added to the
material to be processed, formed on the resonator wall, or added
as sheets or plates oriented in the direction of the oscillating
axial flow.
When filled with a liquid, the APT has the flexibility to
provide cavitation for sono-chemical reactions at ultrasonic
frequencies or well below the ultrasonic range. In
sono-chemistry systems that use ultrasonic sources, it is much
more difficult to create uniform cavitation throughout the
reactor's volume and to transfer the power needed for commercial
practicality. The APT provides a means to fill a very large
volume of the reactor (i.e. resonator) with cavitation and to do
so at very high power levels.
Other chemical reactions and process steps that may be achieved
within an APT include oxidation, reduction, metal coating, metal
scrubbingor ablation, dissolution of solids into liquids,
crystallization, polymerization, de-polymerization, separation
processes such as high-speed pressure swing adsorption, sparging
(aeration/deaeration), gas/liquid reactions (chlorination), and
VOC abatement. The application of microwaves provides another
means of applying heat, or a more complex interaction, during a
chemical process, wherein the resonator can act as a microwave
cavity.
The batch and continuous methods described previously can also
be used for chemical reactions within the APT. Chemical
reactions can be combined with many of the previously described
processing steps inside the same APT. In short, the APT provides
a single tool, or reactor, with which the process engineer can
design a wide range of processes that may have previously
required multiple tools or reactors.
8)
Separation
Stratification by particulate size along the axis of a resonator
is well known in the field of acoustics. An APT provides a
practical means for delivering large amounts of power and
greatly increasing the yield of an acoustic stratification
process. This particular use of an APT can be applied to the
separation of gases.
9)
Enhancing processing results
The degree of axial, streaming, and turbulent velocities can be
changed by altering the internal surface finish and internal
geometry of the APT's resonator. As described in U.S. Pat. No.
5,515,684 the peak axial velocities achieved, for a given
pressure amplitude, will depend on the resonator's overall
shape. Once a given shape is chosen, local streaming and
turbulent velocities can be altered by changing the internal
surface finish, or roughness, and by inserting targets in the
flow stream. Increasing the turbulent and streaming velocities
can increase the processing rate for applications such as
mixing, de-agglomeration, drying, vaporization, and comminution,
and thus can provide a significant advantage.
FIG. 3 shows example embodiments of targets that can be used to
increase yield where a resonator 30 has a screen 32 which spans
the internal volume of resonator 30 in a direction transverse to
the axial acoustic velocities. The mesh size of screen 32 can be
chosen so as not to overly impede the axial flow, but to promote
the early development of turbulence during a given acoustic
cycle. In this way, both the turbulent duty-cycle, with respect
to an acoustic cycle, and the turbulent intensity can be
increased, thereby providing more processing during a single
acoustic cycle. Multiple transverse screens can be added to
further accentuate the effect. Surface protrusions 34 provide
another style of target to increase processing performance, by
promoting turbulence. The resonator 20 is driven by driver 4 and
connected to variable power supply 3 as shown in FIG. 1.
The targets described have a two-fold effect First they will
increase the rate of particle-particle collisions as well as
their impact velocities and second they can provide increased
surface area for particle-resonator collisions.
Many other geometrical arrangements to promote turbulence will
suggest themselves to those skilled in the art and are
considered to be within the scope of the present invention. It
is also understood that the addition of targets is a matter of
increasing yield and efficiency and that a RMS resonator can
provide the processing features of the present invention without
targets.
In general, the location, size, geometry, and quantity of these
targets, or obstructions, can be modified to optimize the
process as desired. Other approaches can be used to increase the
processing rate and to alter the processing characteristics such
as the particle size distribution for comminution. For example,
passive media, such as beads of various materials, can be placed
within the resonator to optimize comminution, mixing, and
de-agglomeration. Such enhancements are not limited to a batch
mode system, but can also be applied to a continuous mode system
described herein.
The APT of FIG. 3 provides outlet tubes 40 and 42 as a means to
remove processed materials from the tool. For batch operations,
resonator 30 can be fitted with flanges for direct opening of
the resonator in order to add and remove process materials.
Alteratively, materials can be placed within resonator 30
through inlet tube 38 and valve 46 and can be removed through
either outlet tube 42 and valve 44 or through outlet tube 40 and
valve 48. During processing, valves 44, 46 and 48 can be closed
to provide a sealed processing environment. Removal of processed
materials through outlet tube 42 can be assisted by "swept air
cleaning" consisting of an external pressure source connected to
inlet tube 38 which would create flow through tube 38, into
resonator 30, and out through tube 42. In this way the processed
materials would be entrained in the flow and carried out of
resonator 30.
Another means for discharging the processed materials is to use
the nonlinearly generated DC pressure created by the standing
acoustic wave inside the resonator. The graph of FIG. 4
illustrates the type of DC pressure distribution that would be
expected within resonator 30. Po represents the at-rest pressure
within resonator 30 when no standing wave is present. The curve
PDC shows how the local at-rest pressure PO is altered in the
presence of a high amplitude standing wave. Unlike the at-rest
pressure PO the altered static pressure PDC is high at the
resonator's ends and lowest at the center of the resonator.
If valves 46 and 48 are opened at the same time, then the DC
pressure will discharge gas through tube 40 and draw gas in
through tube 38. The resulting flow will entrain the processed
materials and discharge them from resonator 30, thus eliminating
the need for an external pressure source for sweeping the
resonator. Any RMS resonator can provide DC pressure and need
not have the specific shape shown in FIG. 3. The placement of
inlet tube 38 and outlet tube 40 provides the greatest DC
pumping pressure, as illustrated in FIG. 4. However, DC pressure
pumping can occur with inlets and outlets being located anywhere
along the length of resonator as long as there is a DC pressure
difference between the inlet and outlet positions. Multiple
inlets and outlets can be used to increase material flow and
another outlet tube similar to tube 40 could be located at the
other end of resonator 30.
10)
Continuous process
In addition to batch processing, the APT of FIG. 3 can also
operate in a continuous process mode. An external pressure
source can continuously deliver move process materials through
tube 38, into resonator 30, and out through tube 42. Process
materials can also be continuously delivered by allowing the DC
pressure to move them through tube 38, into resonator 30 where
processing occurs, and out through tube 40. For both nthe
externally-driven and DC pressure-driven versions, the flow rate
of the gas through the chamber 32 can be controlled with the
respective valves independently from the acoustic processing.
For continuous comminution processes, a classification screen 36
can be added to the APT of FIG. 3 having a mesh size so as to
prevent particles from leaving the resonator until they have
been reduced to the desired size. By locating classification
screen 36 inside resonator 30, a self-cleaning action is
provided by the oscillating acoustic flow and pressure, thus
preventing clogging of the screen.
Additional parallel layers of classifying screens can be located
along the cylindrical axis of resonator 30 having progressively
smaller mesh sizes from inlet to outlet. In this way, large
initial particles will not have to travel far along the
resonator's axis before impacting a screen through which it
cannot pass until the particle is broken down to a smaller size.
Once reduced in size, it will experience greater axial
accelerations and displacements allowing it to hit the next
smaller mesh size screen. The process continues until the
particle can pass through the last screen mesh.
It is particularly advantageous to use an APT in continuous mode
for processes such as therapeutic aerosol generation. Aerosol
generators or "nebullizers" used for therapeutic purposes often
utilize high velocity air strews to impart the energy needed to
create aerosols from liquids. A distribution of droplet sizes is
thereby created, only a fraction of which are the correct size
for inhalation. In addition, the high velocity air streams
required are generally of sufficiently high volumetric flow as
to require deceleration by externally placed baffles prior to
delivery to a patient. Because the energy needed to break a
liquid into droplets is acoustically supplied in an APT, it is
possible by varying the geometry of the chamber to independently
regulate the air flow through the resonator at a level required
for human inhalation and to optimize the air flow velocity so as
to entrain only droplets of therapeutic size.
11) Process
Control
Every degree of each physical effect created within an RMS
resonator can be continuously varied by varying the input power
to the motor driving the resonator. Also, a transition can be
made from one physical effect to another by varying the power
input, as in the case of switching from agglomeration to
de-agglomeration and from stratification to mixing. Acoustic
stratification of particles by size occurs at lower acoustic
amplitudes.
Controls can be provided to select the desired process and
adjust its rate by varying power input to the motor. Information
regarding percent completion of a given process can be inferred
by measured parameters such as power consumption at a reference
acoustic pressure amplitude and change in resonant frequency.
For example, at a given dynamic pressure amplitude a batch
comminution process may require less power as particle sizes are
reduced. The periodic addition or discharge of process
materials, gases, liquids, vapors, powders and reactants can be
automated by those skilled in the art of process control and
electromechanical design.
There are many ways to exploit the new features of the present
invention that will readily occur to one skilled in the art of
process engineering. One of the principal advantages of the APT
is provided by the wide range of physical effects that can be
generated within a single chamber. As such, there are
innumerable ways to combine simultaneous and sequenced processes
within a single APT, thereby unifying and simplifying formerly
complex processes. For example, a process requiring comminution
of solids, mixing the comminuted product with gases and other
powders, vaporization of liquid reactants, controlling a
chemical reaction, agglomeration, and discharge of the final
product can all be performed within a single APT by simply
supplying the proper materials and controlling the power input
to provide the respective physical effects. The number of other
combinations of parallel and sequenced processes that can be
realized with an APT is virtually endless but is in fact made
possible by the unique features of the present invention. Thus,
the performance of multiple complex processes within a single
APT is considered to be within the scope of the present
invention.
As with any process tool, APTs of varying sizes and designs can
be placed in series and used to process materials in stages.
An APT requires no specific physical orientation to create the
desired physical effects, and so the designer is free to orient
the APT in any manner that facilitates a particular design
requirement, such as a gravity feed of process materials or
loading and unloading process materials, or controlled
entrainment of liquid droplets or solid particulates by a gas
flowing through the unit. A resonator can be removed from its
driver and used to transport the pressed materials in order to
avoid contamination. An APT can be operated at extreme
temperatures if required by a particular process and can be
heated or cooled with conventional methods, Construction
materials can be chosen as appropriate for compatibility with
given process materials. The number of resonator shapes that
will provide the physical effects described herein is unlimited
and the specific shape chosen for a given APT design will
reflect the given process or processes of interest.
Resonator size should not be considered as a limitation on the
scope of the invention, since resonators can be scaled to
extremely small sizes (e.g. micromachines) and to very large
sizes capable of delivering thousands of watts of processing
power.
Further, modes of operation can involve using a fluidized bed
approach to prevent the process materials from becoming
acoustically opaque, thereby maximizing the volume of materials
that can be loaded into a single resonator, while still being
able to excite the standing wave mode.
APT resonators have no mechanical frictional moving parts and so
provide great flexibility in materials selection Resonators can
be constructed from materials that provide long-life,
non-contamination, and non-reactivity such as stainless steel,
monel, hastalloy, glass, ceramic or plastic.
Monitoring of APT processes can also be provided by means of
transparent windows in the resonator. Windows can be used for
noninvasive optical measurements to determine the degree of
process completion.
ABSTRACTS
EP0447134
Standing
wave compressor.
A compressor for vapor-compression cooling systems, which
exploits the properties of acoustic resonance in fluids for
fluid compression, and provides a discharge pressure which can
be varied during operation in response to changing operating
conditions, thereby providing an oil-less compressor and
reducing the compressor's energy consumption. The thermoacoustic
properties of standing acoustic waves are exploited to provide a
refrigerant subcooling system which is contained within the
compressor. Refrigerant subcooling occurs when heat exchange is
provided between the refrigerant and a heat pumping surface,
which is exposed to the standing acoustic wave within the
compressor. Acoustic energy can be provided by either a
mechanical driver, or by direct exposure of the fluid to
microwave and infrared energy, including solar energy. Inlets
(4) and outlets (6) arranged along the chamber (2) provide for
the intake and discharge of a fluid refrigerant, and can be
provided with optional reed valve arrangements, so as to
increase the compressor's compression ratio. The performance of
the compressor can be optimised by a control circuit which holds
the wavelength of the standing wave constant, by varying the
driving frequency in response to changing operating conditions.
US6388417
High
stability dynamic force motor
Motor control of a variable reluctance motor is obtained by
providing a periodic voltage waveform to a coil of a motor. No
coil current control or current or flux feedback is needed to
obtain flux waveforms that allow for low-distortion or
distortion-free operation of the motor. The periodic voltage
waveform may be a sinusoidal or sawtooth signal, for example,
and has a substantially zero mean for each cycle of the signal.
The periodic voltage waveform may be offset to compensate for
the resistance of the coil, and the coil current may be
monitored in order to determine the amount of offset required.
By providing a zero-mean or substantially zero-mean periodic
voltage waveform, the coil current and flux in the gap between
the core and the moving part are guaranteed to reach a zero
value at some point during each period (or cycle) of the
periodic voltage waveform.
US5357757
Compression-evaporation
cooling system having standing wave compressor
A compressor for compression-evaporation cooling systems, which
requires no moving parts. A gaseous refrigerant inside a chamber
is acoustically compressed and conveyed by means of a standing
acoustic wave which is set up in the gaseous refrigerant. This
standing acoustic wave can be driven either by a transducer, or
by direct exposure of the gas to microwave and infrared sources,
including solar energy. Input and output ports arranged along
the chamber provide for the intake and discharge of the gaseous
refrigerant. These ports can be provided with optional valve
arrangements, so as to increase the compressor's pressure
differential. The performance of the compressor in either of its
transducer or electromagnetically driven configurations, can be
optimized by a controlling circuit. This controlling circuit
holds the wavelength of the standing acoustical wave constant,
by changing the driving frequency in response to varying
operating conditions.
WO1998032216
Resonant
macrosonic synthesis (rms) energy conversion
An energy conversion device comprises an acoustic resonator (2),
a pulse combustion device for creating a standing wave within
said resonator, and an electric (16) alternator. The alternator
(16) is coupled to the resonator (2) to convert acoustically
driven mechanical vibrations into electrical power.
MX9601981
RESONANT
MACROSONIC SYNTHESIS.
An acoustic resonator includes a chamber containing a fluid. The
chamber has anharmonic resonant modes and provides boundary
conditions which predetermine the harmonic phases and amplitudes
needed to synthesize a non-sinusoidal, unshocked waveform.