Also published as: WO2013141928 /
US2014208758 / EP2798173
BACKGROUND
Gas turbines, which (for example) are used in terrestrial
power generation and jet aircraft propulsion, include turbine
blades that are design-constrained according to a maximum
"lift" or rotational force that may be applied by any one
blade under a given set of conditions. One limiting factor is
a tendency for streamwise pressure variation along a low
pressure side of the turbine blade to cause a near-surface
velocity reversal with concomitant loss of stream adhesion to
the turbine blade. The phenomenon of loss of adhesion may
typically be referred to as flow separation. Flow separation
may be regarded as a form of aerodynamic stall. The tendency
to undergo flow separation may be most pronounced near
trailing edges of the turbine blades. According to a related
application, gas turbine blades may be configured to operate
at higher than previously attainable combustion gas (free
stream) temperatures through the use of Coulombic repulsion of
charged particles in the combustion gas, combined with
film-cooling. This may result in higher thermodynamic
efficiency of the gas turbine. However, a higher free stream
temperature may result in higher lift per turbine blade at
relatively lower free stream velocity. This greater lift at
lower velocity may increase streamwise pressure variations
along the low pressure side of the turbine blade, and hence
(absent redesign of turbine blade aerodynamics) may be
associated with an increased propensity for flow separation .
Moreover, the Coulombic repulsion itself may tend to urge the
free stream away from surfaces of the turbine blade, and
further add to flow separation, especially on the low pressure
side of the turbine blade.
Additionally, the power output range (dynamic range) of a gas
turbine may be related to an allowable range of combustion gas
volume delivered to the turbine at a given rotational rate of
the rotor, which (for a given cross-sectional area) can be
related to a range of mass flows at which a given turbine
blade/stator
aerodynamic design will work most efficiently. Just as an
airplane wing will stall at low velocities, corresponding to a
high angle of attack, and operate less efficiently at
velocities that differ significantly from a designated cruise
velocity, turbine blades may suffer similar flow separation at
extremes of dynamic range.
Moreover, flow separation effects may force gas turbines to
use a relatively large number of stages to extract all power.
More stages negatively affect capital cost, weight, and size
of the gas turbine (particularly the length of the rotor
shaft).
What is needed is a gas turbine that can operate with a higher
combustion gas temperature without requiring turbine blade
redesign, can exhibit larger dynamic range, have a lower
capital cost, have a lower weight, and/or have a reduced size
compared to previous gas turbines. SUMMARY
According to an embodiment, a gas turbine may include a
combustor configured to output a combustion gas stream, the
combustion gas stream being controlled or driven to at least
intermittently or periodically include charged particles
having a first sign. For example the first sign may be
positive during at least an instant. The gas turbine also
includes at least one turbine configured to receive the
combustion gas stream (carrying the charged particles at least
intermittently or periodically). The turbine includes at least
one turbine stage having turbine blades. Each turbine blade
includes a repelling surface configured to be at least
intermittently or periodically held or driven to a repelling
voltage having a polarity the same as the charged particles
having the first sign. At least some turbine blades also
include an adhesion surface configured to be at least
intermittently or periodically held, driven, or in equilibrium
to an adhesion voltage or charge having lower magnitude than
or opposite polarity from the repelling voltage. This may
cause a reduced net force of repulsion, the reduction of which
may improve boundary layer and free stream adhesion. FIG. 3A
shows an example.
An air channel may be configured to deliver film-cooling air
adjacent to the repelling surface of the turbine blade.
According to another embodiment, a method of operating a gas
turbine includes providing a combustion gas stream at least
intermittently or periodically carrying charged particles
having a first sign; converting thermodynamic energy to
rotational energy with turbine blades; at least intermittently
or periodically applying Coulombic repulsion to the charged
particles from a repelling portion of each turbine blade by
applying a repelling voltage to the repelling portion; and at
least intermittently or periodically applying reduced
Coulombic repulsion from or increased Coulombic attraction to
an adhesion portion of each turbine blade by at least one of
shielding the Coulombic repulsion caused by the repelling
voltage or by applying an adhesion voltage to attract the
charged particles to the adhesion portion of the turbine
blade.
The method may include providing film-cooling air adjacent to
at least the repelling portion of the turbine blade.
According to an embodiment, a turbine blade includes a
repelling surface configured to be at least intermittently or
periodically held or driven to a repelling voltage and an
adhesion surface configured to be at least intermittently or
periodically held, driven, or in equilibrium to an adhesion
voltage or charge having lower magnitude than or opposite
polarity from the repelling voltage. The turbine blade may
include a gas channel configured to deliver film-cooling gas
adjacent to at least the repelling surface. The adhesion
surface may include an electrical insulator disposed adjacent
to the repelling surface and an electrical conductor or
semiconductor disposed adjacent to the electrical insulator.
BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is a block diagram of a gas turbine,
according to an embodiment. FIG. 2 is a diagram illustrating
cascaded momentum transfer from
Coulombically repelled particles to neutral
particles, according to an embodiment.
FIG. 3A is a streamwise sectional diagram of a
turbine blade configured for extended free stream adhesion,
according to an embodiment.
FIG. 3B is a diagram showing fluid velocities and
free stream adhesion over the turbine blade of FIG. 3A,
according to an embodiment.
FIG. 4 is a diagram from an A-A view illustrated
on FIG. 3A including an adhesion surface having a spanwise
varying adhesion surface coupling
efficiency, charge/voltage, or area, according to
an embodiment.
FIG. 5 is a span-wise B-B view of portions of a
repelling surface and an adhesion surface of the turbine
blade of FIGS. 3A and 4, according to an embodiment. FIG. 6
is a span-wise B-B view diagram of portions of a repelling
surface and an adhesion surface of the turbine blade of
FIGS. 3A and 4, according to another embodiment.
DETAILED DESCRIPTION
In the following detailed description, reference is made to
the accompanying drawings, which form a part hereof. In the
drawings, similar symbols typically identify similar
components, unless context dictates otherwise. The
illustrative embodiments described in the detailed
description, drawings, and claims are not meant to be
limiting. Other embodiments may be utilized, and other changes
may be made, without departing from the spirit or scope of the
subject matter presented here.
FIG. 1 is a block diagram of a gas turbine 101 , according to
an embodiment. The gas turbine 101 includes a compressor 1 12
configured to compress air, the compressed air then entering a
combustor 1 14. Fuel is burned in the combustor 1 14 to raise
the temperature of the air and produce combustion products.
The hot combustion products exit the combustor 1 14 and travel
through a turbine 1 16. The turbine 1 16 includes turbine
blades attached to a shaft 1 18. The combustion gases
impinging on the turbine blades cause rotation of the shaft 1
18, which provides power to the compressor 1 12. The shaft 1
18 may also be coupled to fan blades (such as in an aircraft
jet engine, not shown) or an electrical power generator or
alternator (such as in a terrestrial power generator or
aircraft auxiliary power unit (APU), not shown).
Fuel is introduced to the combustor 1 14 through one or more
nozzles 120. The combustor 1 14 includes a wall 122 that must
be kept cool. Typically, the wall 122 may be cooled by
introducing cool air through vents (not shown). The combustor
wall 122 may also be cooled according to methods described
herein. Turbine blade cooling air from the compressor may be
admitted, such as through an air passage 124 formed by the
shaft 1 18. The turbine blade cooling air provides cooling to
the shaft 1 18 by forced convection, and travels into the
turbine blades. Cooling of the turbine blades is described in
greater detail in conjunction with FIGS. 2 and 3A. According
to an embodiment, one or more electrode(s) 126 may be disposed
near the fuel nozzle(s) 120. Optionally, the one or more
electrode(s) 126 may be coextensive with at least a portion of
the fuel nozzle(s) 120. The electrode(s) 126 may apply a
continuous or modulated voltage potential near flame(s)
anchored by the fuel nozzle(s) 120.
During combustion, a flame produces charged intermediate
species or transition states. These charged species include
free electrons, fuel and fuel fragments, oxygen radicals, etc.
Conservation of charge dictates that positive and negative
charges nominally balance such that the total charge is
approximately neutral. The electrode(s) 126 may attract charge
of opposite sign. For example, the electrode(s) 126 may be
held or modulated to a positive voltage, and may responsively
attract electrons from the flame. Similarly, the electrode(s)
126 may be held or modulated to a negative voltage, which
responsively removes positively charges species from the
flame. The electrode(s) 126 may be modulated across a positive
and negative voltage range, may be modulated in voltage above
and below a DC bias voltage, and/or may be held at a
substantially constant DC bias voltage. According to
embodiments, the electrode(s) 126 may be modulated between
relative ground and a positive voltage of a few hundred volts
at a time-varying frequency of a few kilohertz up to a few
hundred kilohertz. Higher or lower voltages may be used and/or
higher or lower frequency may be used.
The effect of at least intermittently or periodically removing
charged particles of one sign or polarity from the flame
results in a charge imbalance that may be used to apply
Coulombic forces on the combustion gas. The applied Coulombic
forces may directly affect the movement of charged particles,
and the charged particles, in turn, may transfer momentum to
uncharged particles. As used herein, a "particle" may include
an aerosol such as unburned fuel, a gas molecule, an ion,
and/or an electron, for example. As will be described below,
the applied Coulombic forces may be used to repel hot gas from
temperature- sensitive surfaces, such as turbine blades,
turbine inlet guide vanes, turbine stators, the turbine shaft,
and/or the combustor wall.
The electrode(s) 126 may be voltage isolated from other
portions of the gas turbine 101 by suitable clearances (e.g.,
"air gaps") or electrical insulators 128. A voltage source 134
may provide the voltage to the electrode(s) 126. The voltage
source 134 may also apply a voltage to the combustor wall 122
and to the turbine 1 16 blades and optionally turbine shaft 1
18 via a voltage conduction circuit 130. The voltage
conduction circuit 130 may include one or more electrical
insulators 128. Optionally, the voltage source 134 may provide
different voltages to the electrode(s) 126, combustor wall
122, and/or turbine 1 16 blades. The voltage source 134 may
include a DC voltage source and/or a modulated voltage source.
Optionally, the number density of ions may be increased or the
ions may be produced by a mechanism other than the
electrode(s) 126 acting on the combustion reaction to produce
a majority species. Increasing the number density of ions may
be used to increase the Coulombic forces acting on the hot
gas. Operating by a mechanism other than the electrode(s) 126
acting on the combustion reaction to produce a majority
species may be used according to designer preferences.
According to an embodiment, an electrode (optionally,
electrode(s) 126 or a different electrode, not shown) may be
operated at sufficient voltage to generate a corona discharge
upstream of the turbine blades. In another embodiment, an
additive such as one or more alkali salt(s) may be included in
the fuel. In another embodiment, an additive such as one or
more alkali salt(s) may be injected into the combustor 1 14.
Approaches for producing or increasing an ion number density
are described by Lawton and Weinberg in Electrical Aspects of
Combustion, incorporated herein by reference. It is possible
that alternative theories could be constructed to explain the
conversion of Coulombic repulsion to electrostatic or
electrodynamic acceleration of the bulk region of the fluid.
FIG. 2 is a diagram 201 illustrating cascaded momentum
transfer from electrostatically-repelled particles to neutral
particles, according to an embodiment. Throughout the
description herein, it may be assumed that voltages are either
too low to cause dielectric breakdown (arcing) or that passive
or active voltage control will decrease voltages under
conditions where dielectric breakdown or incipient dielectric
breakdown occurs. While voltages and particle charges are
shown as positive in FIG. 2, the same effect may be seen with
negative voltages and negative particle charges (or, as will
be described more fully below, sign-modulated similar
charges). Accordingly, the principles illustrated by FIG. 2
may be applied to a system using one or more constant or
modulated positive voltages, one or more constant or modulated
negative voltages, or positive and negative voltages modulated
in time. In most gas turbine systems, it may be assumed that
each particle corresponds to a gaseous molecule, atom, or ion.
A body, such as a turbine blade 202, may be driven to or held
at a voltage, VT, such as a positive voltage. A film-cooling
layer 204 may include substantially only neutral particles
206. Neutral particles 206 may be regarded as not interacting
with the positive voltage V Tof the body 202 (ignoring dipole
interactions). Accordingly, the film-cooling layer 204 may be
substantially unaffected by Coulombic forces.
A bulk region 207, separated from the body 202 by the
film-cooling layer 204, may include neutral particles 206 and
charged particles 208. For purposes of description, charged
particles 208 may be regarded as positively charged. The
positively charged particles 208, 208a may be Coulombically
(electrostatically) repelled by the same sign voltage V Tof
the body 202 and may be responsively accelerated along a path
209. The path 209 may be visualized as the positive particle
208 "falling" through a voltage gradient caused by the voltage
V Tof the body 202. The path 209 (e.g., the mean free path
209) typically has a probable distance inversely proportional
to density. The path 209 eventually intersects another
particle 206, whereupon a collision 210 between the charged
particle 208 and a second particle 206 causes momentum
transfer from the charged particle 208 to the second particle
206. For an average elastic collision (or a particular elastic
collision of favorable orientation), momentum of the charged
particle 208 may be halved, and the momentum of the second
particle 206 may be increased by the same amount.
For systems where charged particles 208 are present in low
concentration (which corresponds to most or all embodiments
described herein), most collisions 210 involving a charged
particle 208 may be binary interactions between the charged
particle 208 and a neutral particle 206. After the collision
210, momentum transferred to the neutral particle 206 causes
it to travel a distance near a mean free path until it
undergoes a collision 212 with another particle after a time
approximating a mean time between collisions. For systems
where charged particles 208 are present in low concentration,
most collisions 212 involving momentum transfer from a neutral
particle 206 may be binary interactions between the first
neutral particle 206 and a second neutral particle 206'. For
an average elastic collision, half the momentum of the first
neutral particle 206 may be transferred to the second neutral
particle 206'. The first neutral particle 206 and the second
neutral particle 206' may then travel along respective paths
until each collides with other respective neutral particles in
collisions 212 and momentum is again transferred. The series
of neutral particle collisions 212 thus distribute momentum
originally received from the charged particle 208 across a
large number of neutral particles 206 according to an
exponential 2 <N>progression in a parallel process.
Meanwhile, the charged particle 208 is again accelerated
responsive to Coulombic interaction with the voltage V Tof the
body 202, and accelerates along a path to another collision
210, whereupon the process is repeated as described above.
According to an illustrative embodiment, charged particles 208
may be present in the free stream (also referred to as a
combustion gas stream) 207 at a concentration on the order of
one to one-hundred parts per billion (ppb). According to the
geometric momentum distribution described above, momentum may
be transferred from one charged particle 208 to a majority of
all particles 206, 208 in the free stream 207 in about 24 to
30 generations of collisions 210, 212 (2 <30>> 1 X 10
<9>, 2 <23>> 8 X 10 <6>). The amount of
transferred momentum at each collision is a function of the
voltage V Tof the body 202, the magnitude of charge carried by
the charged particle 208, the density of the free stream 207
(and hence the mean free path length), and the distance from
the surface of the body 202 to the charged particle 208 at the
point of each collision 210.
Because Coulombic forces substantially do not act on particles
in the film- cooling layer 204, the film-cooling layer 204
undergoes substantially no repulsion. Moreover, the Coulombic
repulsion acting on the charge-carrying free stream 207 may be
viewed as producing a partial vacuum in regions between the
surface of the charged body 202 and the free stream 207. The
film-cooling layer 204 may thus also be viewed as being held
in contact with the surface of the body 202 by the partial
vacuum produced by evacuation of charged particles 208.
Referring to FIG. 1 , an optional adhesion voltage lead 136
may provide an adhesion voltage to an adhesion surface of the
turbine blades. The adhesion voltage will be explained more
fully in conjunction with FIGS. 3A, 4, 5, and 6.
An optional counter-ion injection lead 138 may optionally
provide charge of opposite sign to the charge imbalance in the
gas stream, and thus allow the combustion reaction to proceed
to completion. Optionally, the counter-ion injection lead 138
may be configured to inject the counter-ions after the first
stage turbine blades, between later turbine stages, or at the
outlet end of the turbine 1 16. The counter-ion injection lead
may produce exhaust gas that is less reactive than a charged
gas stream, thereby reducing environmental effects of the
system described herein. The counter-ion injection lead may
further be used to balance charges delivered by the voltage
source 134, and thereby reduce power consumption and/or charge
bleed to isolated system components.
FIG. 3A is a streamwise sectional diagram of a region 301
including a turbine blade 302 configured for Coulombic thermal
protection from hot combustion gases, and extended free stream
adhesion of the gases to the surface of the turbine blade 302,
according to an embodiment. As described above, a combustion
gas stream 207 may at least intermittently or periodically
include charged particles 208. The turbine blade 302 may
include a repelling surface 304 configured to be at least
intermittently or periodically held or driven to a repelling
voltage V T. The repelling voltage V Tmay typically be driven
to a voltage having the same sign as a majority of charged
particles 208 proximate to the turbine blade 302 such that
repulsion of the hot combustion gas stream 207 occurs
according to a mechanism similar to that described in
conjunction with FIG. 2, or according to another mechanism.
A gas channel 306 may be configured to deliver film-cooling
gas 204 adjacent to at least the repelling surface 304. For
example, the gas channel 306 may be a first gas channel
configured to deliver film-cooling gas through slots or holes
308 proximate a flow forward edge 310 of the repelling surface
304.
Nominally, the film-cooling gas 204 and the combustion gas
stream 207 may travel along streamlines 312 parallel to the
surface 304 of the turbine blade 302. Because streaming is
parallel to the surface 304, the film-cooling gas 204 and the
combustion gas 207 may tend to not mix. Moreover, the
repulsion of the charged particles 208 by the repelling
voltage V Tof the repelling surface 304 may tend to prevent
mixing of the combustion gas 207 with the film-cooling gas
204.
A location 314 along the surface 304 may be characterized by a
first pressure Pi, as shown in FIG. 3A. FIG. 3B is a diagram
showing fluid velocities and possible flow separation over the
turbine blade of FIG. 3A, according to an embodiment.
Referring to FIG. 3B, fluid velocity near the surface 304 at
the location 314 corresponding to the first pressure Pi may
follow a function represented by the velocity curve 316. The
velocity curve 316 conforms to a requirement that velocity v
be zero at the surface 304. Velocity v represented by the
velocity curve 316 is positive at all points not at the
surface 304 and asymptotically approaches the free stream
velocity v Fat locations removed from the surface 304.
Referring to FIG. 3A, for a lifting body such as the turbine
blade 302, the gas pressure over the low pressure surface (top
surface) of the turbine blade 302 may increase with distance
along the surface 304 such that a second pressure P 2at a
second point 318 on the low pressure surface is higher than
the first pressure Pi at the first point 314 nearer the flow
forward edge 310 of the turbine blade 302. In other words, Pi
< P 2.
The system illustrated by FIGS 3A and 3B may be represented
according to the Navier-Stokes partial differential residual:
v dv/ds = (-1/p) dp/ds + u d <2>v/dy <2>where s is
the streamwise axis,
y is the normal axis,
v is velocity along the streamwise axis,
p is density,
p is pressure, and
u is a second derivative constant.
For a case where non-streamwise velocity gradients and
gradient curvatures are small compared to streamwise
gradients, the equation reduces to: v dv/ds = (-1/p) dp/ds.
In other words, the change in streamwise velocity is nonlinear
and negative with the increase in pressure along the stream
path. For otherwise conventional turbine blade designs (e.g.
absent "steps"), pressure may vary monotonically and
increasing with distance along the turbine blade 302 beyond
the minimum pressure point.
When dp/ds>0,
velocity v decreases as s increases. There may be conditions
under which v is less than or equal to 0, a result of which is
illustratively shown in FIGS. 3A and 3B. This corresponds to a
flow separated velocity profile illustrated by a v<0
solution shown as the velocity curve 322 in FIG. 3B. For
steady y-axis conditions, the velocity inversion in the
velocity profile 322 may correspond to spanwise vortex
shedding.
For cases where P 2is sufficiently greater than Pi , the
streamline 312 may lift off the surface 304 of the turbine
blade 302 as indicated by a stall streamline 320. In fact, the
streamline 320 may represent the outer edge of a region
characterized by the spanwise vortex shedding. Such behavior
may be referred to as an aerodynamic stall.
Referring again to FIG. 3B, aerodynamic stall may occur when a
velocity profile 322 includes a portion near the surface 304
having a negative value. As shown, the velocity profile 322
represents a flow direction reversal at a small distance from
the surface 304 up to a magnitude of -V MAX- For comparison, a
nominal velocity profile 316 at the location 314 is
superimposed.
Referring again to FIG. 3A, according to embodiments, the
turbine blade 302 includes an adhesion surface 324 configured
to prevent the lift-off or stall behavior 320, and instead
substantially keep the flow 312 in contact with the upper
surface of the turbine blade 302, as illustrated by the
streamline 326.
Referring to FIG. 3B, the adhesion surface 324 may act to
create a velocity profile 328. The velocity profile 328 is
"squished" such that velocity increases faster near the
surface such that a measurable negative velocity is
substantially avoided, and stall does not occur.
The adhesion surface 324 creates the velocity profile 328 and
the streamline 326 by reducing or reversing the repulsion
exerted by the repelling surface 304 across at least a portion
of the turbine blade 302. The adhesion surface 324 is
configured to be at least intermittently or periodically held,
driven, or in equilibrium to produce an adhesion voltage V Aor
charge having lower magnitude than or opposite polarity from
the repelling voltage V T.
As described above, the repelling surface 304 may be
configured to repel the combustion gas stream 207 by Coulombic
repulsion. The gas channel 308 may thus deliver the
film-cooling gas 204 to a volume adjacent to the repelling
surface 304 between the repelling surface 304 and the
combustion gas stream 207. The Coulonnbic repulsion of the
combustion gas stream 207 by the repelling surface 304 may
help to maintain the relative positions of the repelling
surface 304, the film-cooling gas 204, and the combustion gas
207, and thereby reduce turbine blade 302 heating and
deterioration or failure.
According to embodiments, the adhesion surface 324 may act to
shield the combustion gas 207 from the repelling action of the
repelling surface 304 at locations prone to stall 318.
According to embodiments, the adhesion surface 324 may be
configured as an electrical shield to shield the combustion
gas stream 207 from the repelling voltage V Tapplied to the
repelling surface 304 of the turbine blade 302. The adhesion
surface 324 may provide extended flow adhesion and reduce or
substantially eliminate flow separation, as shown by the
alternative, non- separated stream 326 and the "squished"
velocity profile 328.
An electric field environment different than the electric
field environment caused by V Tmay be formed by the adhesion
surface 324. For example, a conductor or semiconductor of the
adhesion surface 324 (optionally as image charge balanced
against charges deposited on an overlying insulator) may be
driven or otherwise carry an equilibrium or pseudo-equilibrium
voltage or charge deposited by the ionized combustion gas 207.
For example, the charge or voltage V Acarried by the adhesion
surface may be normally in equilibrium with the time-averaged
charge(s) carried by the combustion gas. According to one
view, this may be visualized as a Faraday cage shielding the
electric field environment corresponding to adhesion flow 326.
A charge 208b shielded from the repulsion voltage V Tand/or
responsive to an adhesion voltage V Amay "feel" less Coulombic
acceleration away from the surface 304 than the acceleration
felt by charges 208a operatively coupled to the repulsion
voltage V T.
According to an embodiment, the adhesion surface 324 may be
configured to be in charge equilibrium or pseudo-equilibrium
with the charged combustion gas stream 207 such that the
adhesion surface 324 is charged to an adhesion voltage V
Ahaving an average value lower in magnitude than an average of
the turbine blade 302 repelling voltage V T. For example, at
least one of the sign of the charged particles 208 or the
concentration of the charged particles 208 in the combustion
gas 207 may be modulated responsive to modulation of voltage
of the electrode(s) by the voltage source (FIG. 1 , 126, 134)
according to a desired equilibrium or pseudo-equilibrium
voltage.
According to other embodiments, the adhesion surface 324 may
be driven to or held at an adhesion voltage V Aopposite in
polarity from the repelling voltage V Tof the repelling
surface 304. Referring to FIG. 1 , the voltage source 134 may
apply such an attraction voltage to the adhesion surface 324.
A charged particle 208b proximate the adhesion surface 324 may
be intermittently or periodically attracted to or receive a
reduced repulsion from an adhesion voltage V A. For example,
the adhesion voltage V Amay be at ground, may be opposite in
sign (polarity) from the charged particle 208b, or as
described above, at a reduced magnitude compared to the
repelling voltage V T.
According to an embodiment, the adhesion voltage V Amay be
modulated in phase with a variation in passing charged
particle 208 concentration and/or sign. The phase may
optionally be selected responsive to mass flow rate, fuel burn
rate, and/or flow velocity of the combustion gas 207.
According to another embodiment, the adhesion voltage V Amay
follow a phase-delayed varying equilibrium with a
concentration and/or sign of passing charged particles 208.
FIG. 4 illustrates an embodiment 401 from an A-A view
illustrated on
FIG. 3A including an adhesion surface 324 having a spanwise
varying adhesion surface coupling efficiency, charge/voltage,
or area. Areas 402 may be extended into or past regions of the
adhesion surface 324. The areas 402 may be an extension of the
repelling surface 304, for example. A reduced repelling force
and/or increased attracting (adhesion) force felt by a charge
208a when proximate the adhesion surface 324 in combination
with repelling force felt by a charge 208 may tend to cause a
spanwise acceleration variation that is conducive to forming
streamwise vortices 404. Streamwise vortices may tend to have
desirable aerodynamic effects compared to spanwise vortices.
Various physical embodiments of the adhesion surface 324 are
contemplated. According to embodiments, the adhesion surface
324 may be configured to apply at least reduced Coulonnbic
repulsion on the combustion gas stream 207 compared to the
repelling surface 304. As illustrated in FIGS. 4-6, the
adhesion surface 324 may include a spanwise variation in
applied voltage, charge, or area configured to promote
streamwise vortex 404 generation.
According to an embodiment, the adhesion surface 324 may be
configured to apply Coulombic attraction to the combustion gas
stream 207. For example, a gas turbine 101 (FIG. 1 ) may
include a voltage source 134
operatively coupled to the adhesion surface 324 and configured
to provide an adhesion voltage to the adhesion surface 324.
The turbine blade 302 may include an electrical lead (not
shown) operatively coupled to the adhesion surface 324, the
electrical lead being configured to conduct a voltage to at
least a portion of the adhesion surface 324. The electrical
lead may receive the adhesion voltage from the voltage source
134.
The adhesion surface 324 may be shaped to occupy a void 406
defined by the repelling surface 304. The adhesion surface 324
may include an electrical insulator 408 adjacent to one or
more voids 406 defined by the repelling surface 304. An
electrical conductor or semiconductor 410, operable as an
adhesion electrode, may be disposed adjacent to the electrical
insulator 408. For example, the electrical conductor or
semiconductor (adhesion electrode) 410 may be disposed in a
recess or void 412 defined by the electrically insulating
material 408. A second electrical insulator or semiconductor
portion 408 may be disposed over the electrical conductor or
semiconductor 410 forming the adhesion electrode. In such an
arrangement, the adhesion electrode 410 may be referred to as
"buried". According to other embodiments, the adhesion
electrode 410 may be exposed.
The adhesion surface 324 may comprise at least a flow rearward
portion 330 of a low pressure side of the turbine blade 302.
The repelling surface 304 may include substantially the
remainder of the surface of the turbine blade 302. According
to embodiments, the repelling surface 304 may include at least
a flow forward portion of a low pressure side of the turbine
blade 302 and at least a portion of a high pressure side of
the turbine blade 302. Referring to FIGS. 1 and 2, the voltage
source 134 may be configured to cause modulation of at least
one of a sign or concentration of charged particles 208 in the
combustion gas stream 207. The voltage source 134 may be
configured to select the modulation to cause a selected
equilibrium voltage carried by the adhesion surface 324. The
voltage source may optionally be configured to apply a
substantially constant or modulated adhesion voltage to the
adhesion surface 324 of the turbine blade 302.
Referring again to FIG. 4, the adhesion surface 324 may
include a "buried" adhesion electrode 410, wherein the
insulator 408 covers the conductor or semiconductor forming
the adhesion electrode 410. According to other embodiments,
the adhesion electrode 410 may include an exposed upper
surface (as shown in FIG. 3A).
According to embodiments, tantalum (Ta) may form at least a
portion or alloy of the adhesion electrode 410. Tantalum may
be advantageous due to its relatively high electrical opacity.
As described above, the adhesion surface 324 may include a
spanwise variation in area with regions having relatively high
area and regions having relatively low area. According to
other embodiments, the adhesion surface 324 may be configured
to support a spanwise variation in applied voltage or charge,
or a spanwise variation in coupling efficiency to the
combustion gas 207.
Various arrangements are contemplated. FIG. 5 is a span-wise
B-B view of portions of a repelling surface 304 and an
adhesion surface 324 of the turbine blade of FIGS. 3A and 4,
according to an embodiment wherein the adhesion surface 324
has a spanwise variation in area. FIG. 6 is a span-wise B-B
view of a portion of the turbine blade of FIGS. 3A and 4
according to another embodiment wherein the adhesion surface
324 has a spanwise variation in area. The spanwise variations
in area depicted in FIGS. 5 and 6 may also help analogously
describe the effect of a spanwise variation in voltage,
charge, and/or coupling efficiency.
FIG. 5 illustrates an embodiment 501 wherein the area of the
adhesion surface 324 is varied spanwise by a serpentine
variation in the position of the adhesion surface 324 leading
edge. A void may be machined in the surface 304 of the turbine
blade 302, and an insulator 408 applied therein. A void may
then be machined in the insulator 408 surface and an adhesion
electrode 410 disposed in the insulator void.
Streamlines superimposed over the adhesion surface indicate
relative combustion gas flow over the turbine blade surface.
Streamwise vortices 404 may be set up by a difference between
repulsion of the charged particles 208 from the repelling
surface 304 and the adhesion electrode 410.
FIG. 6 illustrates an alternative embodiment wherein the
leading edge of the adhesion electrode 410 is not varied, but
wherein a plurality of discontinuous regions of repelling
surface 304 are arranged to potentiate the formation of
streamwise vortices 404. According to other embodiments (not
shown), the adhesion surface and/or the adhesion electrode 410
may include a plurality of discontinuous regions.