TECHNICAL FIELD
[0001] The disclosure relates generally to axial gas and steam turbines in which there are
one or more rows of generally radially extending airfoils of non rotating vanes and
rotating blades. More specifically the disclosure relates to configurations of end
walls joined to radial ends of airfoils with improved aerodynamic behaviour.
[0002] Within this specification the term "pitchwise" is used to mean a circumferential
direction between two adjacent airfoils or vanes or blades. Further, the term "end
wall" is broadly defined as any surface at a radial end of an airfoil and from which
the airfoil radially extends. End walls thus include but are not limited to airfoil
platforms and shrouds.
BACKGROUND INFORMATION
[0003] The ideal flow through a turbine is termed the "primary flow" wherein the difference
between the primary flow and the actual flow is termed the "secondary flow". The secondary
flow represents, to a large extent, a loss that has a major impact on axial turbine
efficiency.
[0004] The development of secondary flow in a turbine cascade starts with the end wall boundary
layer interacting with the airfoil's leading edge. As the flow impinges on the leading
edge of the airfoil, the radial variation in the stagnation pressure creates flow
along the stagnation line of the airfoil towards the end wall. When this flow reaches
the end wall, it travels locally upstream along the end wall. Where the incoming boundary
layer meets this flow, separation occurs and a so-called horseshoe vortex is formed
around the leading edge of the airfoil. The strength of this vortex is dependent on
the thickness of the leading edge and the variation of the radial static pressure
gradient along the leading edge, which is, among other things linked to the end wall
boundary layer thickness and quality.
[0005] The pressure side leg of the vortex is influenced by the airfoil-to-airfoil pressure
gradient as it enters the flow passage and travels towards the suction side. The resulting
cross-passage flow along the end wall imposes vortex motion in the cascade. These
vortices may commonly be referred to as passage vortices that include horseshoe vortices
in their core. These vortices can be present in any flow channel with a curved shape
and a boundary layer. The strength of this secondary flow in a cascade is dependent
on a number of other factors including the amount of turning and the shape of the
incoming boundary layer.
[0006] The end wall vortex generation negatively affects turbine efficiency, contributing
up to 35% of the total losses for a typical high-pressure turbine. The key cause for
the additional loss generation is the passage vortex that grows downstream of the
cascade. The kinetic energy stored in this vortex is lost for further use as it is
mostly mixed out downstream. The passage vortex can be easily detected as a high loss
core existing away from the suction surface close to the centre of the passage vortex.
[0007] Besides loss generation, secondary flow perturbs the exit flow distribution downstream
of the cascade. As the low momentum boundary layer fluid is deflected substantially
more than the main flow close to the end wall it sees the same blade to blade pressure
gradient but has less impulse and so causes overturning of the exit flow close to
the end wall. Further away from the end wall, the rotation of the passage vortex comes
into play and so less turning occurs, which, due to the passage vortex driving the
fluid in an opposite direction, results in so called under turning.
[0008] The inhomogeneous flow field after the cascade is responsible for additional losses
in the following cascade. This is partly due to the overturned flow close to the end
wall leading to more secondary flow in the next blade row.
[0009] As the passage vortex lifts off the end wall and grows in size, the flow channel
is increasingly influenced by secondary flow. It is known to be beneficial if the
passage vortex is closer to the end wall as this increases the region of undisturbed
primary flow. One method of inferring this is through the measurement of peak radial
helicity.
[0010] Airfoil design has evolved to reduce secondary flow by optimising the three-dimensional
shape of airfoils and more recently by contouring of the end walls. This technology,
referred to as Tangential End Wall Contouring (TEWC), involves adjusting end wall
surfaces to reduce secondary flow, resulting, for example, in a modified airfoil face
pressure profile.
[0011] US patent application
US 2007/0059177 A1 describes such an end wall nonaxisymmetric profile. This solution comprises forming
circumferentially extending sinusoids at a number of axial positions wherein corresponding
points on successive sinusoids are joined by spline curves so that the curvature of
the end wall is smooth.
[0012] Another alternative solution is to provide the end wall with a fence that lifts the
vortex up off the end wall and into the main flow, which has the effect of washing
out the vortices. The fence, of which an example is described in ASME Turbo Expo 2000
" Secondary flow measurements in a turbine passage with end wall flow modification
" 2000-GT-0212 has a leading edge at the centre of a line connecting the leading edges
of the pressure and suction side airfoils. While such walls can reduce aerodynamic
losses practical problems can arise due to the need to cool the fence.
[0013] An alternative method of reducing the affects of secondary flow is to use nonaxisymmetric
profiling to reduce cross flow instead of adjusting the pressure profile.
EP 1 995 410 A1, for example, provides a solution in which an end wall of a turbine stage cascade
includes a first projection having a ridge extending downward from the trailing edge
of a turbine blade toward the downstream side, gently at the beginning and steeply
at the end, and along the suction side of an adjacent turbine blade. Such an arrangement
is however limited by the fact that downstream axial space is required and therefore
such a solution may not always be applicable.
SUMMARY
[0014] The disclosure is directed towards the problem, in a turbine, of over and under turning
capability and/or reduced helicity losses as a result of secondary flows caused by
cross flow that flows in the pitchwise direction from a pressure face of an airfoil
towards the suction face of an adjacent airfoil across an end wall surface.
[0015] The invention attempts to address this problem by means of the subject matter of
the independent claim. Advantageous embodiments are given in the dependent claims.
[0016] An aspect of the invention is based on the principle of one or more adjacent channels
formed in end walls in flow passages between adjacent airfoils. Each channel extends
in the primary flow direction and may be preferably located adjacent airfoil pressure
faces. The channels each have two angled walls, which in conjunction with the configuration
and location of the channels, are configured to reduce the potential for secondary
flow formation in the channels.
[0017] In an aspect there is provided a turbine stage comprising a circumferentially distributed
row of adjacent airfoils each with a pressure face, a suction face and, one end wall,
from which the airfoils radially extends or two end walls between which the airfoils
extend. The turbine stage further has a flow passage defined by a region between a
pressure face of a first airfoil, a suction face of an adjacent second airfoil, a
leading edge line, define as a line extending between the lead edges of adjacent airfoils,
and a trailing edge line, defined as a line extending between the trailing edges of
adjacent airfoils. The flow passage has a surface, which in its unmodified form defines
a datum. The turbine stage, in each flow passage has one or, two or more adjacent
channels, adjacent a pressure face, that modify the surface and extend in the direction
of primary flow lines from a point towards the leading edge line to a point towards
the trailing edge line. Each channel consists of two channels walls angled relative
to the datum that provide the channels with have a low point, two high points, and
a channel height which is the radial distance between the low point and highest of
the high points. The location of the channels adjacent the pressure face reduces the
extent of influence of cross flow pitchwise across the flow passage so by reducing
the influence of secondary flow. The closer the channel is to the pressure face the
more pronounced this effect. In this way any negative effect on aerodynamic performance
is more than offset by the benefit of reduced secondary cross flow.
[0018] In a further aspect, the high points of each channel do not extend above the datum,
reducing the impact of the channels on primary flow thus reducing scraping losses.
In one aspect the low point of each channel is substantially in the midpoint, pitchwise,
between high points of each channel while in another aspect, the angle of the walls
of each channel closer to the pressure face is less, relative to the datum, than channel
walls closer to the suction face.
[0019] Preferably, the channel height, in the primary flow direction, increases to a maximum
at a relative channel length, in the direction of primary flow lines, of between 0.35-0.55
at which point the channel height decreases. In the last fifth of the length of the
channel this rate of decrease may be less. In this way the channel depth provides
a balance between scraping losses, which change with the velocity profile in the flow
passage, and cross flow presence.
[0020] In a further aspect the channel height of each successive adjacent channel, adjacent
in the pitch wise direction extending from the pressure face to the suction face,
remains the same or decreases. Preferably, the channel height of the channel adjacent
the pressure face is at least twice that of the channel furthest, in the pitch wise
direction, from the pressure face. In this way channels are configured to reduce cross
flow where its affect is strongest i.e. adjacent the pressure face.
[0021] In a further aspect, in each flow passage, the point of extension of each adjacent
channel is the same or further from the leading edge line the closer the channel is
to the suction face thus defining an extended region, adjacent the suction face, which
is free of channels. The extended region can be generally defined as a region, that
in operation, is configured in a region that is essentially free of secondary flow
vortices caused by cross flow originating from the pressure face.
[0022] Other aspects and advantages will become apparent from the following description,
taken in connection with the accompanying drawings wherein by way of illustration
and example, an embodiment of the invention is disclosed.
BRIEF DESCRIPTION OF THE DRAWINGS
[0023] By way of example, an embodiment of the present disclosure is described more fully
hereinafter with reference to the accompanying drawings, in which:
Figure 1 is a top view of two adjacent airfoils of a turbine stage;
Figure 2 is a perspective view of the adjacent airfoils of Fig. 1;
Figure 3 is a perspective view of the two adjacent airfoils of a turbine stage with
exemplary channels of the invention in end walls;
Figure 4 is a pitchwise sectional view of a turbine stage showing adjacent airfoils
and an end wall of an exemplary embodiment;
Figures 5 and 6 are expanded views of channel wall sections, V and VI of Fig. 4 respectively;
Figure 7 is a pitchwise profile of a channel of Fig. 3 or 4;
Figure 8 is a height profile of a channel of Fig. 3 or 4;
Figure 9 is a perspective view of an exemplary embodiment with an extended region;
Figure 10 is a top view of Fig. 9 showing secondary flow lines; and
Figures 11-14 are exemplary performance graphs of exemplary embodiments.
DETAILED DESCRIPTION
[0024] Preferred embodiments of the present disclosure are now described with reference
to the drawings, wherein like reference numerals are used to refer to like elements
throughout. In the following description, for purposes of explanation, numerous specific
details are set forth in order to provide a thorough understanding of the disclosure.
It may be evident, however, that the disclosure may be practiced without these specific
details.
[0025] FIGs. 1 and 2 show top and perspective views respectively of two adjacent airfoils
10 of a turbine stage, in which airfoils 10 are adjacently and circumferentially distributed
in rows. Each airfoil 10 is integrally joined at one or both radial ends to corresponding
end walls 12, partially shown as grid lines. The area between the pressure face 14
and suction face 16 of adjacent airfoils 10 defines a flow passage 18 further bound
by a region extending between a leading edge line 20, define as a line extending between
the lead edges 21 of adjacent airfoils 10, and a trailing edge line 22, defined as
a line extending between the trailing edge 23 of adjacent airfoils 10. The flow passage
18 has a surface common with a surface of the end walls 12. In its unmodified form
the surface defines a datum DR, shown in FIG. 4, wherein "unmodified form" means the
contour the passage surface would take if the surfaces were not changed, for example,
by TEWCs. The grid lines in FIGs. 1 and 2 representing an unmodified surface comprise
of, primary flow lines PFL that represent ideal lines of flow unaffected by secondary
flow, and, pitch wise sections A-D.
[0026] FIG. 3 shows an exemplary embodiment applied to the turbine stage shown in FIGs.
1 and 2. It comprises channels 30 formed in the passage surfaces of end walls 12,
at one or both radial end of adjacent airfoils 10. The channels 30 extend in the direction
of primary flow lines PFL and thus are substantially parallel to each other. The extension
is from a point towards the leading edge line 20 to a point towards the trailing edge
line 22. Each channel 30 consists of two channel walls 32 that angle relative to the
datum DR, shown in more details in FIGs 5 and 6, and join to define a low point LP
of the channel 30 relative to the datum DR.
[0027] FIG. 4 shows an exemplary cross section through a pitch wise section A-D extending
between the pressure face 14 of one airfoil 10 to the suction face 16 of another adjacent
airfoil 10. Shown are channels 30 formed in end walls 12 between the adjacent airfoils
10. Each channel 30 has two channel walls 32, one closer to the pressure face 14 and
the other closer to the suction face 16. The channel height CH is the radial height,
that is the height measured perpendicular to the datum DR, between the channel's low
points LP and the highest high point HP. In this specification "low" and " high" are
relative to the datum wherein "low" refers to a negative extension from the datum
DR into the end wall 12, while "high" refers to a positive extension in the direction
away from the end wall 12. The indication is independent of absolute location. That
is, even though the high point HP extends in a direction away from the end wall 12,
the high point HP, as shown in FIG. 7, may or may not extend above the height of the
datum DR
[0028] The "channel wall angle" e, shown in FIGs. 5 and 6, is the angle of a nominal channel
wall 33 relative to the datum DR wherein the nominal channel wall 33, without curvature,
approximates the actual channel wall 32. For example FIG. 5, showing an expanded view
of V of FIG. 4, shows the channel wall angle e of a bowed channel wall 32. The wall
angle e is taken to be the angle of the nominal channel wall 33, which is the average
angle of the nominal channel wall 32. In another example shown in FIG. 6, which is
an expanded view of VI of FIG. 4, a channel wall 32 is shown with a rounded-off end
section that is otherwise straight. In this case the nominal channel wall 33 corresponds
to the channel wall 32 straight portion, disregarding the rounded end section.
[0029] The purpose of the channels 30 is to reduce cross flow and so reduce secondary flow
and resulting losses. The preferred channel height CH and preferred number of channels
30 is dependent on the degree of cross flow, estimatable using known techniques, described,
for example in
Harvey, N. W. et al, 2000 " Nonaxisymmetric Turbine end Wall Design: Part I "ASME
J. Turbomach., 122, pp. 278-285 and,
Hartland, J. C. et al, 2000 " Nonaxisymmetric Turbine End wall Design: Part II "ASME
122 J. Turbomach, 122, pp. 286-293. With increasing channel height CH and channel 32 number passage surface area increases,
which, in the absences of secondary flow, results in increased scraping losses. Where
the effect of scraping losses may be higher than the beneficial effect of channels
32, it may be advantageous to minimise both channel height CH and/or number. An embodiment
in its simplest form suitable for turbine stages with minimal cross flow therefore
comprises one channel 30 located adjacent the pressure surface 14, which is the region
with the most significant cross flow.
[0030] The channel depth CH, shown in detail in FIG 4, is a function of the number of channels
30 and the degree of cross flow. If the channel depth CH is too great further secondary
flow can be created resulting in additional losses. If the channel depth CH is too
low the ability of the channel to limit cross flow will be limited. A further consideration
is channel wall angle Θ. If too steep, additional secondary flow may be created. Channel
design is therefore a compromise between at least these factors and so is strongly
dependent on airfoil design and operation conditions. In consideration of these factors
an optimum design can be derived by simulation using known methods.
[0031] In an exemplary embodiment, the low point LP of each channel 30 is at the pitchwise
midpoint between the high points HP of the channel as shown in FIG. 4.
[0032] In an exemplary embodiment, the channel height CH of each successive adjacent channel
30 in the pitchwise direction from the pressure face 14 to the suction face 16 remains
the same or decreases. In a further exemplary embodiment the channel height CH of
the channel 30 adjacent the pressure face 14 is at least twice that of the channel
30 furthest from the pressure face 14, as can be seen in FIG. 4. As cross flow is
typically greatest towards the pressure face 14 the benefit of channels 30 decreases
towards the suction face 16.
[0033] In another exemplary embodiment, the low point is closer to the suction face 16,
represented as the pitchwise position "1" in FIG. 7 than the pressure face 14, which
is represented as "0". This typically results in the channel wall angle e of the channel
wall 32 closer the suction face 16 being greater than the channel wall angle e of
the channel wall 32 closer the pressure face 14. In this way a smooth transition into
the channel 30 is provided for cross flow originating from the pressure face 14, which
minimises the formation of additional losses, while cross flow suppression can be
promoted by the steeper channel wall angle e of the channel wall 32 located closer
to the suction face 16. The channel wall angle e of the channel wall 32 located closer
to the suction face 16 is typically less than less than 90 degrees as an angle approaching
90 degrees or greater may create additional vortices resulting in additional losses.
[0034] In an exemplary embodiment, the channel walls 32 are configured such that the channels
20 do not extend above the datum DR, as shown in FIG. 7 wherein "0" is the channel
height CH at the datum DR. By this means, it was found that scraping losses of the
primary flow can be further reduced while still maintaining good cross flow suppression
performance.
[0035] Through a turbine cascade the flow is accelerated significantly. Scraping losses,
which have a squared relationship with velocity, are of greatest significance in the
region of highest velocity. The highest velocity may correspond to a region where
the separation distance measured in the pitchwise direction, between adjacent airfoils
10, is smallest. In such a region, overall efficiency may be optimised if the channel
height CH is limited so as to be lower than would optimally be designed in view only
of predicted cross flow. Therefore, in an exemplary embodiment, in the direction of
primary flow lines PFL extending from towards the leading edge line 20 to the trailing
edge line 20, the channel height initially increases to a maximum at a relative channel
length of between 0.35-0.55 after which is decreases. In a further exemplary embodiment,
the decrease is not as pronounced in the last fifth of the relative channel length.
The relative channel length is the length point along a channel 30 measured relative
to the total length of the channel 30. FIG. 8 shows an example of one configuration
of these embodiments in which it was found that for one set of operating conditions
not only can scraping losses be reduced but also over and under turning performance
can be slightly improved without detrimentally affecting helicity.
[0036] FIG. 9 shows an exemplary embodiment where the channels 30 towards the suction face
16 starts further from the leading edge line 20 than channels 30 closer to the pressure
face 14. That is, their point of extension from the leading edge line 20 is further.
This results in the formation of an extended region ER adjacent the suction face 16,
towards the leading edge line 20, which is free of channels 30. The extended region
ER may be bounded by a midpoint on the leading edge line 20, a point along the suction
face 16 and a point on the suction face 16 at which the suction face 16 and leading
edge line 20 join, as shown in both FIGs. 9 and 10. Such an arrangement is beneficial
when the flow across the extended region ER is essential free of secondary flow, as
shown in FIG. 10, and as such the loss in this region primarily comprises scraping
losses. In a further exemplary embodiment, the extended region ER is the region adjacent
the suction face 16 towards the leading edge line 20 that is essential free of secondary
flow as shown by the flow lines FL in FIG. 10. As the size and shape of the extended
region ER is dependent not only on turbine stage configuration but also operating
conditions the optimum location of the extended region ER is unique for each turbine
configuration. Preferably therefore the extended region ER is defined by a region
derived and determined by known flow simulation methods.
[0037] FIGs. 11-14 shows the performance that can be achieved with a combination of the
various exemplary embodiments. Improvements include over and under turning, shown
in FIGs. 11 and 12 for both a stator and a rotor, and helicity, shown in FIGs. 13
and 14 also for a stator and rotor.
[0038] Although the disclosure has been herein shown and described in what is conceived
to be the most practical exemplary embodiment, it will be appreciated by those skilled
in the art that the present invention can be embodied in other specific forms without
departing from the spirit or essential characteristics thereof. The presently disclosed
embodiments are therefore considered in all respects to be illustrative and not restricted.
The scope of the invention is indicated by the appended claims rather that the foregoing
description and all changes that come within the meaning and range and equivalences
thereof are intended to be embraced therein.
REFERENCE NUMBERS
[0039]
- 10
- Airfoil
- 12
- End wall
- 14
- Pressure face
- 16
- Suction face
- 18
- Flow passage
- 20
- Leading edge line
- 21
- Leading edge
- 22
- Trailing edge line
- 23
- Trailing edge
- 30
- Channel
- 32
- Channel wall
- 33
- Nominal channel wall
- A-D
- Pitchwise sections
- CH
- Channel height
- DR
- Datum
- ER
- Extended region
- FL
- Flow lines
- PFL
- Primary flow lines
- LP
- Low point (of a channel)
- HP
- High point (of a channel)
- RD
- Radial direction
- e
- Channel wall angle
1. A turbine stage comprising:
a circumferentially distributed row of adjacent airfoils (10) each with:
a pressure face (14);
a suction face 16); and either
one end wall, from which the airfoils radially extend or two end walls
between which the airfoils (10) extends,
the turbine stage further comprising:
a flow passage (18) defined by a region between:
a pressure face (14) of a first airfoil (10);
a suction face (16) of an adjacent second airfoil (10);
a leading edge line (20), defined as a line extending between the lead edges (21)
of adjacent airfoils (10), and
a trailing edge line (22), defined as a line extending between the trailing
edge (23) of adjacent airfoils (10),
wherein the flow passage (18) has a surface, which in its unmodified form defines
a datum (DR), the turbine stage
characterised by:
a channel (30), in the flow passage (18), adjacent the pressure face (14) and extending
in the direction of primary flow lines (PFL from a point towards the leading edge
line (20) to a point towards the trailing edge line (22) that modifies the surface,
wherein the channel (30) modifies the surface, the channel (30) also consists of two
channels walls (32) angled relative to the datum (DR) to define, as referenced to
the datum (DR), a low point (LP), two high points (HP), and a channel height (CH)
which is the radial distance between the low point (LP) and highest of the high points
(HP).
2. The turbine stage of claim 1 wherein each flow passage (18) includes at least two
adjacent channels (30)
3. The turbine stage of claim 1 or 2 wherein the high points (HP) of the or each channel
(30) does not extend above the datum (DR).
4. The turbine stage of any one of claims 1 to 3 wherein the low point (LP) of the or
each channel (30) in each flow passage (18) is substantially in the midpoint, in the
pitchwise direction, between the high points (HP) of each channel (30).
5. The turbine stage of any one of claims 1 to 4, wherein in each flow passage (18),
the angle (Θ) of channel wall (32) of the or each channel (30) closer to the pressure
face (14) is less, relative to the datum (DR) than the angle (Θ) of the or each channel
wall (32) closer to the suction face (16).
6. The turbine stage of any one of claims 1 to 5 wherein in each flow passage (18), channel
height (CH) in the primary flow direction increases to a maximum at a relative channel
length measured in the direction of primary flow lines (PFL) of between 0.35-0.55
at which point the channel height (CH) decreases.
7. The turbine stage of claim 2 or any one of claims 3 to 6 as they relate to claim 2
wherein in the pitchwise direction from the pressure face (14) to the suction face
(16) the channel height (CH) of each successive adjacent channel (30), remains the
same or decreases.
8. The turbine stage of claim 7 wherein, in each flow passage (18), the channel height
(CH) of the channel (30) adjacent the pressure face (14) is at least twice that of
the channel (30) furthest, in the pitchwise direction, from the pressure face (14).
9. The turbine stage of claim 2 or any one of claims 3 to 8 as they relate to claim 2
wherein, in each flow passage (18), in the pitchwise direction from the pressure face
(14) to the suction face (16) each successive adjacent channel (30) extends from a
point that is the same or further from the leading edge line (20) so by forming an
extended region (ER) adjacent the suction face (16) that is free of channels (30).
10. The turbine stage of claim 9 wherein the extended region (ER) is a region that in
operation encompasses a region essentially free of secondary flow vortices caused
by cross flow originating from the pressure face (14).