Information
-
Patent Grant
-
6682301
-
Patent Number
6,682,301
-
Date Filed
Friday, October 5, 200122 years ago
-
Date Issued
Tuesday, January 27, 200420 years ago
-
Inventors
-
Original Assignees
-
Examiners
- Look; Edward K.
- McAleenan; J. M.
Agents
- Andes; William Scott
- Haushalter; Joan
-
CPC
-
US Classifications
Field of Search
US
- 415 181
- 415 191
- 415 192
- 415 193
- 415 2082
- 415 2112
- 416 223 A
- 416 243
- 416 198 A
-
International Classifications
-
Abstract
A transonic turbine blade. Expansion waves are generated by a lifting surface on the blade. The expansion waves extend downstream, through a shock generated at the trailing edge of an adjacent blade. The invention increases the strength of the shock, thereby attenuating the expansion waves passing through the shock. One stratagem for increasing the shock is to reduce the aerodynamic load of the trailing edge generating the shock.
Description
TECHNICAL FIELD
The invention concerns airfoils, such as those used in gas turbines, which operate in a transonic, or supersonic, flow regime, yet produce reduced shocks. One reason for reducing the shocks is that they produce undesirable mechanical stresses in parts of the turbine.
BACKGROUND OF THE INVENTION
A simple analogy will first be given which explains how repeated pressure fluctuations can induce vibration.
FIG. 1
shows an acoustic loudspeaker
3
which produces pressure waves
6
. Each wave
6
contains a high-pressure, high-density region
9
, and a low-pressure, low-density region
12
. When the waves
6
strike an object
15
, each high-pressure region
9
applies a small force to the object
15
, and the succeeding low-pressure region
12
relaxes the force. The sequence of
. . . -force-relaxation-force-relaxation- . . .
causes the object
15
to vibrate.
Shocks produced by rotating airfoils can produce similar vibrations, as will now be explained.
FIG. 2
illustrates a generalized shock
23
produced by a generalized airfoil
26
. The shocks as drawn in
FIG. 2
, as well as in
FIGS. 3 and 4
, are not intended to be precise depictions, but are simplifications, to illustrate the principles under discussion.
One feature of the shock
23
is that the static pressure on side
29
is higher than that on side
32
. Another feature is that the gas density on side
29
is higher than on side
32
. These differentials in pressure and density can have deleterious effects, as will be explained with reference to
FIGS. 3 and 4
.
FIG. 3
illustrates a generalized gas turbine
35
, which extracts energy from an incoming gas stream
38
. Each blade
41
produces a shock
23
A in
FIG. 4
analogous to shock
23
in FIG.
2
. The blades
41
in
FIG. 4
collectively produce the shock system, or shock structure,
47
.
Similar to the shock
23
in
FIG. 2
, each individual shock
23
A in
FIG. 4
is flanked by a differential in pressure and gas density: one side of the shock
23
A is characterized by high pressure and high density; the other side is characterized by low pressure and low density.
When the shock structure
47
rotates, as it does in normal operation, it causes a sequence of pressure pulses to be applied to any stationary structure in the vicinity. This sequence of pulses is roughly analogous to the sequence of acoustic pressure waves
6
in FIG.
1
.
For example, stationary guide vanes (not shown) are sometimes used to re-direct the gas streams exiting the blades
41
in
FIGS. 3 and 4
, in order to produce a more favorable angle-of-attack for blades on a downstream turbine (also not shown). The pulsating pressure and density pulses can generate vibration in the stationary guide vanes.
As a general principle, vibration in rotating machinery is to be avoided.
The preceding discussion is a simplification. In general, shocks
23
A in
FIG. 4
will be accompanied by expansion fans, and the overall aerodynamic structure will be quite complex. Nevertheless, the general principles explained above are still applicable.
SUMMARY OF THE INVENTION
In one form of the invention, substantially all curve on the suction surface of a transonic turbine blade is located upstream of a throat defined by the blade and an adjacent blade. Downstream of the throat, the remaining curve on the suction surface is no more than 6 degrees, and preferably no more than 2 degrees.
BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1
illustrates acoustic waves
6
impinging on an object
15
.
FIG. 2
illustrates a generalized shock
23
.
FIG. 3
illustrates a generic turbine.
FIG. 4
illustrates shocks
23
A produced by the turbine of FIG.
3
.
FIG. 5
illustrates one form of the invention.
FIG. 6
illustrates formation of a shock.
FIG. 7
illustrates formation of an expansion fan.
FIGS. 8 and 9
illustrate operation of one form of the invention.
FIGS. 10 and 11
illustrate actual geometry of region
110
in
FIG. 5
, based on the data contained in Table 1 herein.
FIGS. 12 and 13
illustrate operation of one form of the invention.
FIG. 14
illustrates a definition of a fifty-percent-chord-plane, and points at which pressure is measured in that plane.
FIG. 15
is a cross section of one form of the invention.
FIG. 16
illustrates how amount of bending of a surface can be numerically defined.
FIG. 17
is a schematic cross-sectional view of blades and Inlet Guide Vanes, IGVs, in a gas turbine engine.
FIG. 18
illustrates how a maximum allowable deviation DEV from flatness can be computed.
FIG. 19
illustrates a trailing edge of a turbine blade found in the prior art.
FIG. 20
illustrates how the invention attains a thickness of 0.029 inches at a trailing edge of a turbine blade, yet still provides a passage for cooling air for the trailing edge.
DETAILED DESCRIPTION OF THE INVENTION
This discussion will first set forth standard nomenclature, in the context of one form of the invention. It is emphasized that a transonic, or supersonic, structure is under consideration. The term transonic means that the Mach number at some points on a structure is 1.0 or above and, at other points, is below 1.0. The term supersonic means that the Mach number is above 1.0 everywhere, with respect to the structure in question.
FIG. 5
is an end-on view of two turbine blades
60
used by the invention. That is, if
FIG. 3
showed the invention, then the cross-sections of the blades labeled
41
in
FIG. 3
correspond to the cross sections shown in FIG.
5
.
In
FIG. 5
, an airfoil passage
52
is shown, together with an airfoil mouth
55
, which is sometimes called a throat. The term airfoil passage is a term of art. That is, even though the region downstream of the airfoil mouth
55
may, from one perspective, also be viewed as a passage, it is not the airfoil passage
52
as herein defined. The airfoil passage
52
herein is bounded by the two blades along its entire length.
Each blade
60
contains a pressure surface, or side,
63
and a suction surface, or side,
66
. Arrow
70
represents incoming gas streams while arrow
73
represents exiting gas streams.
Arrow
73
points in the downstream direction. The upstream direction is opposite.
Leading edge
75
is shown, as is trailing edge
78
.
Dashed line
81
represents a line parallel to the axis of rotation of the turbine. The axis is labeled
83
in FIG.
3
. Line
81
in
FIG. 5
, and other lines
81
parallel to it, represent reference lines which will be used in defining various angles. In
FIG. 5
, angle B
1
represents the angle between the incoming gas streams
70
and the reference line
81
. Angle B
1
is called the airfoil inlet gas angle.
Angle B
2
represents the angle between the exiting gas streams
73
and the reference line
81
. Angle B
2
is called the airfoil exit gas angle.
Angle A
1
represents the angle between part of the suction surface
66
and the reference line
81
. Angle A
1
is called the airfoil suction surface metal angle at the airfoil mouth.
Angle A
2
represents the angle between part of the suction surface
66
at the trailing edge and the reference line
81
. Angle A
2
is called the airfoil suction surface metal angle at the airfoil trailing edge.
Against the background of these definitions, four significant characteristics of the system of
FIG. 5
can be explained. One characteristic is that no more than two degrees of bending, or curve, occurs in the suction side
66
downstream of the airfoil mouth
55
. Data tables and Figures explaining this bending are given below.
The terms bending and curve are considered synonymous, and refer to visible spatial shape. However, they are different from the term curvature, as will be explained later.
This restriction on location of the curve causes substantially all expansion of the transonic airflow to occur upstream of the airfoil mouth
55
. Thus, few, if any, expansion waves are generated downstream of the airfoil mouth
55
, at least because of the lift-generating process occurring in the airfoil passage. However, as explained below, expansion downstream of the mouth
55
is deliberately generated at a specific point for another purpose.
A second characteristic is a type of corollary to the first, namely, the suction side
66
is substantially flat in region
110
, subject to the two-degree bending just described, which is downstream of the airfoil mouth
55
. This flatness reduces expansion and shocks, as explained with reference to
FIGS. 6 and 7
.
FIG. 6
illustrates a gas stream
90
encountering a concave corner
93
. The compression process induced creates a shock
96
.
FIG. 7
shows a gas stream
100
encountering a convex corner
103
. The expansion process induced creates an expansion fan
106
. A characteristic pressure differential and density differential exists across the shock
96
in FIG.
6
. The expansion fan
106
is also accompanied by its own type of pressure and density differentials.
In contrast, the flatness, or very shallow bending, of region
110
in
FIG. 5
does not create such shocks and expansion fans, or creates them in reduced strengths.
Therefore, considering the first and second characteristics together: the vast majority of shocks and expansions occur in the airfoil passage
52
in
FIG. 5
, with little or no shocks and expansion generated downstream of the airfoil mouth
55
, on surface
110
. An exception will be a shock which is deliberately created, and described below.
In explaining the third characteristic, the reader is reminded that all, or nearly all, expansion is restricted to the airfoil passage
52
. However, the resulting expansion waves, or fan,
125
in
FIG. 8
do escape through the airfoil mouth
55
, and are not confined to the passage
52
.
The third characteristic of the invention is that the expansion fan
125
is mitigated by passing it through a shock
115
, as indicated in FIG.
9
. This particular shock
115
is deliberately increased in strength by the invention, through the particular blade geometries used, which are shown in
FIGS. 10-12
.
FIG. 10
, top, is a plot of the actual profile of region
110
of FIG.
5
. The x-axis runs parallel to reference line
81
in FIG.
5
. Arrows
153
indicate a very small gap between the actual profile
110
and a straight line
154
running from beginning to end of region
110
.
The maximum size of this gap is less than 0.005 inches, as the scale of the Figure indicates. For example, the distance between adjacent grid lines of the x-axis is about 0.020 inch. Clearly, the distance
153
is less than one-fourth of 0.020, which is 0.005.
FIG. 11
is a plot of the angle of each point on the surface of region
110
, at the corresponding x-positions. Each angle is measured with respect to reference line
81
. For example, angle B
1
in
FIG. 5
would be one of the angles plotted in FIG.
10
.
FIG. 10
, bottom, is a plot of the curvature of each of the angles, again at the corresponding x-positions of FIG.
10
. The term curvature is used in the mathematical sense. It is the first derivative of the change in angle of
FIG. 10
, with respect to x.
Table 1, below, sets forth data from which region
110
can be constructed. The parameter X in Table 1 is shown in
FIGS. 10 and 11
. The zero value of X corresponds to the airfoil mouth
55
in FIG.
5
. The parameter Y in Table 1 is the y-position shown in FIG.
10
. The parameter ANGLE in Table 1 is the angle of FIG.
11
. The parameter CURVATURE in Table 1 is the curvature of FIG.
10
.
It is emphasized that, depending on the particular orientation selected for the blade, some coordinates can be considered negative. For example, by one convention, the parameter Y in
FIG. 10
can be considered negative. Selection of a coordinate system, and specification of the negative axes, are both considered the designer's choice. For simplicity, algebraic sign of the axes are ignored here.
TABLE 1
|
|
X
Y
ANGLE
CURVATURE
|
|
−.200386E-07
.173349E-08
68.1985
.778938E-02
|
.366203E-02
.922460E-01
68.2030
.824942E-02
|
.732402E-02
.184488E-01
68.2077
.869913E-02
|
.109870E-01
.276729E-01
68.2127
.913866E-02
|
.146500E-01
.368968E-01
68.2178
.956786E-02
|
.183130E-01
.461206E-01
68.2231
.998673E-02
|
.219770E-01
.553441E-01
68.2285
.103954E-01
|
.256410E-01
.645675E-01
68.2342
.107937E-01
|
.293060E-01
.737909E-01
68.2400
.111819E-01
|
.329700R-01
.830142E-01
68.2461
.115595E-01
|
.366350E-01
.922374E-01
68.2523
.119270E-01
|
.403000E-01
.101461
68.2587
.122608E-01
|
.439640E-01
.110684
68.2654
.125827E-01
|
.476290E-01
.119907
68.2722
.129006E-01
|
.512930E-01
.129130
68.2792
.132143E-01
|
.549590E-01
.138354
68.2863
.135239E-01
|
.586230E-01
.147577
68.2937
.138829E-01
|
.622870E-01
.156801
68.3012
.141305E-01
|
.659500E-01
.166025
68.3089
.144274E-01
|
.696130e_01
.175249
68.3167
.147202E-01
|
.732760E-01
.184473
68.3248
.150089E-01
|
.769380E-01
.193697
68.3330
.152955E-01
|
.805990E-01
.202922
68.3412
.155901E-01
|
.842590E-01
.212146
68.3497
.158887E-01
|
.879190E-01
.221371
68.3583
.161914E-01
|
.915790E-01
.230598
68.3671
.164981E-01
|
.952380E-01
.239823
68.3761
.168088E-01
|
.988950E-01
.249049
68.3852
.171234E-01
|
.102551
.258276
68.3945
.174420E-01
|
.106208
.267502
68.4041
.177647E-01
|
.109862
.276729
68.4137
.180913E-01
|
.113516
.285957
68.4236
.184219E-01
|
.117168
.295186
68.4336
.187553E-01
|
.120820
.304414
68.4437
.190925E-01
|
.124469
.313643
68.4541
.194397E-01
|
.128118
.322873
68.4647
.197970E-01
|
.131766
.332103
68.4754
.201641E-01
|
.136412
.341333
68.4864
.205413E-01
|
.139056
.350565
68.4977
.209283E-01
|
.142699
.359796
68.5091
.213253E-01
|
.146339
.369030
68.5208
.217322E-01
|
.149979
.378262
68.5326
.221490E-01
|
.153617
.387497
68.5447
.225756E-01
|
.157252
.396731
68.5570
.230120E-01
|
.160887
.405966
68.5694
.234455E-01
|
.164519
.415202
68.5821
.238942E-01
|
.168150
.424439
68.5950
.243619E-01
|
.171778
.433677
68.6083
.248486E-01
|
.175404
.442916
68.6219
.253544E-01
|
.179028
.452154
68.6358
.258791E-01
|
.182650
.461395
68.6500
.264228E-01
|
.186268
.470636
68.6645
.269853E-01
|
.189886
.479878
68.6793
.275668E-01
|
.193500
.489121
68.6944
.281669E-01
|
.197112
.498365
68.7098
.287857E-01
|
.200722
.507610
68.7254
.294135E-01
|
.204328
.516857
68.7410
.300184E-01
|
.207932
.526104
68.7571
.306628E-01
|
.211534
.535352
68.7738
.313468E-01
|
.215131
.544602
68.7908
.320698E-01
|
.218727
.553852
68.8084
.328322E-01
|
.222319
.563103
68.8265
.336337E-01
|
.225908
.572356
68.8451
.344740E-01
|
.229494
.581611
68.8642
.353532E-01
|
.233076
.590866
68.8838
.362709E-01
|
.236655
.600123
68.9038
.372274E-01
|
.240231
.609381
68.9244
.382222E-01
|
.243802
.618641
68.9454
.392550E-01
|
.247370
.627902
68.9657
.401391E-01
|
.250935
.637165
68.9867
.410928E-01
|
.254494
.646429
69.0087
.421442E-01
|
.258050
.655694
69.0316
.432935E-01
|
.261603
.664961
69.0554
.445401E-01
|
.265151
.674231
69.0802
.458863E-01
|
.268693
.638501
69.1058
.473232E-01
|
.272233
.692771
69.1324
.488594E-01
|
.275767
.702047
69.1599
.504911E-01
|
.279296
.711323
69.1883
.522176E-01
|
.282821
.720601
69.2176
.540392E-01
|
.286340
.729881
69.2478
.559548E-01
|
.289853
.739162
69.2789
.579636E-01
|
.293362
.748466
69.3121
.602168E-01
|
.296866
.757731
69.3467
.626344E-01
|
.300363
.767020
69.3825
.652012E-01
|
.303858
.776310
69.4196
.679173E-01
|
.307338
.785603
69.4580
.707810E-01
|
.310818
.794898
69.4975
.737916E-01
|
.314288
.804195
69.5383
.769482E-01
|
.317758
.813495
69.5803
.802490E-01
|
.321218
.822797
69.6235
.836951E-01
|
.324668
.832101
69.6679
.872825E-01
|
.328118
.841408
69.7135
.910113E-01
|
.331558
.850719
69.7602
.948816E-01
|
.334988
.860033
69.8081
.988903E-01
|
.338408
.869349
69.8614
.103796
|
.341818
.878668
69.9208
.109721
|
.345218
.887990
69.9824
.115984
|
.348618
.897316
70.0462
.122585
|
.352008
.906645
70.1123
.129518
|
.355378
.915978
70.1806
.136781
|
|
FIGS. 10 and 11
are simplified plots of the data of Table 1: every tenth data point in the Table is plotted in those Figures.
Some significant features of
FIGS. 10 and 11
are the following. As
FIG. 10
indicates, region
110
is substantially flat. Distance
153
is less than 0.005 inch.
As
FIG. 11
indicates, the angle of the surface of region
110
continually increases as one progresses downstream. The tables of
FIG. 14
indicate that the angle changes from an absolute value of 68.1985, at the airfoil mouth
55
of
FIG. 5
, to an absolute value of 70.1806 at the trailing edge
78
. The difference between these two angles is 1.9821, or less than the two degrees stated above.
As
FIG. 10
indicates, the curvature progressively, monotonically, increases from the mouth
55
to the trailing edge
78
. Restated, the rate of change of the angle increases from the mouth
55
to the trailing edge
78
.
The effects of this geometry on the strength of the cross passage shock
115
in
FIG. 9
will now be explained.
FIG. 12
illustrates a generalized trailing edge
78
, and the cross-passage shock
115
generated, which is also shown in FIG.
9
. Expansion fans
160
are shown in
FIG. 12
, as is the downstream shock
165
.
FIG. 13
also illustrates the trailing edge, but rotated clockwise. The rotated condition tends to unload the aerodynamic loading at the trailing edge
78
. That is, the static pressure on the pressure side is reduced, and that on the suction side increases. The unloading can be sufficiently great that negative lift is attained at the trailing edge.
The reduction in loading causes the wake
170
to rotate toward the pressure side
63
, as indicated by a comparison of
FIGS. 12 and 13
. This situation causes the cross-passage shock
115
in
FIG. 13
to increase in intensity. One way to understand this is to view the wake
170
as a physical barrier. The pressure side
63
in
FIG. 13
, together with the wake
170
, act as the convex corner
93
in
FIG. 6
, forcing flow moving in the downstream direction on the pressure side
63
in
FIG. 13
to bend. This action increases the cross-passage shock
115
.
When the expansion waves, or fan,
125
in
FIG. 9
now cross the strengthened cross-passage shock
115
, their strength is thereby reduced.
The invention produces a specific favorable pressure ratio. Two pressures are measured in a specific plane
190
, shown in FIG.
14
. Points P
8
and P
9
represent two points at which the pressures are measured. The Figure does not indicate the precise locations of points P
8
and P
9
, but merely indicates that two separate locations are involved.
Points P
8
and P
9
lie in plane
190
, which is parallel with plane
195
, which contains the tips of the trailing edges of the blades
60
. Plane
190
is located downstream from the trailing edge at a distance of 50 percent of the chord of the blade. A chord is indicated, as is the 50 percent distance. This plane will be defined as a 50 percent chord plane.
One pressure measured at point P
8
or P
9
is the cross-passage maximum static pressure, PSMAX. It will be the maximum pressure in plane
190
. The other pressure is the minimum static pressure, PSMIN, in plane
190
. Of course, the flow field in crossing plane
190
will be axi-symmetric, so that numerous comparable pairs of points P
8
and P
9
will exist.
The ratio of PSMAX/PSMIN is preferably in the range of 1.35 or less.
The two points P
8
and P
9
should be located at comparable aerodynamic stations. For example, if P
8
were located at the radial tip of a blade, and P
9
located at a blade root, the stations would probably not be comparable. In contrast, if both points were located at the same radius from the axis of rotation
83
in
FIG. 3
, then the stations would be comparable.
FIG. 15
is a scale representation of the airfoil used in one form of the invention, drawn in arbitrary units. The curve shown in
FIG. 15
is a Nonuniform Rational B-Spline, NURB, based on the data points given in Table 2, below.
TABLE 2
|
|
7.7163,
1.8954
|
7.6828,
1.9543
|
7.6180,
2.0734
|
7.5245,
2.2489
|
7.4214,
2.4134
|
7.3254,
2.5752
|
7.2253,
2.7329
|
7.1254,
2.8979
|
7.0121,
3.0626
|
6.9058,
3.2339
|
6.7832,
3.3863
|
6.6802,
3.5329
|
7.7163,
1.8954
|
7.6828,
1.9543
|
7.6180,
2.0734
|
7.5245,
2.2489
|
7.4214,
2.4134
|
7.3254,
2.5752
|
7.2253,
2.7329
|
7.1254,
2.8979
|
7.0121,
3.0626
|
6.9058,
3.2339
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6.7832,
3.3863
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6.6802,
3.5329
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6.5663,
3.6569
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6.4684,
3.7721
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6.3710,
3.8791
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6.2364,
4.0066
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6.1067,
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5.9745,
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5.7064,
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5.4433,
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5.3206,
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5.0677,
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4.7838,
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4.1707,
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3.3792,
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3.3182,
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3.4245,
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3.5836,
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3.7415,
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3.9583,
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4.1046,
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4.2760,
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4.3914,
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4.4867,
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5.3104,
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5.4688,
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5.6281,
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5.7941,
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5.9350,
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6.0845,
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6.2110,
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6.3761,
5.4967
|
6.6476,
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7.1107,
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7.6142,
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7.8135,
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|
The following discussion will consider (1) various characterizations of the invention, and (2) definitional matters.
As shown in
FIG. 5
, the suction side
66
can be divided into (1) a lift region within the airfoil passage
52
containing substantially all bending of the suction side, (2) a trailing region
110
which contains no more than two degrees of bending, and which is entirely located downstream of the airfoil mouth
55
in FIG.
5
.
The trailing edge
78
of the suction side
66
has greater camber than does the suction side at the airfoil mouth. Camber angle is a term of art, and is defined, for example, in chapter 5 of the text GAS TURBINE THEORY by Cohen, Rogers, and Saravanamuttoo (Longman Scientific & Technical Publishing, 1972, ISBN 0-470-20705-1).
In
FIG. 5
, as one progresses in the downstream direction, that is, in the direction of arrow
60
, the bending of the surface
110
causes the surface
110
to move away from the axial direction, represented by line
81
. That is, the angle of surface
110
progressively increases, as indicated by FIG.
11
. Further, the mathematical curvature, or first derivative, of the angle, also progressively increases in the downstream direction.
The increase just described causes the surface of the suction side
66
to move away from the axial direction and toward the transverse direction.
The meaning of the term angle should be explained.
FIG. 11
gives the angle in terms of the slope of the region
110
at each x-position. The slope is a ratio, which is non-dimensional for the top of FIG.
10
: inches/inches. If the actual angle in degrees or radians is desired, the arctangent of the given angle/slope should be taken.
As stated, the angle/slope of
FIG. 11
is the first derivative of Y in
FIG. 10
, top, with respect to X. The curvature of
FIG. 10
, bottom, is the second derivative of Y with respect to X, which is equivalent to the first derivative of the angle/slope.
One form of the invention comprises a row of turbine blades, which may be supported by a rotor.
FIG. 3
illustrates a row of turbine blades on a rotor. In the turbine art, even though the array of turbine blades is a circumferential array in
FIG. 3
, supported by a turbine disc, the array is traditionally called a row. Also, in cascade testing, a literal row of turbine blades is used.
Each pair of blades, as in
FIG. 5
, defines an airfoil passage
52
, and an airfoil mouth
55
, through which gases travelling through the passage
52
pass, when exiting the passage
52
. Expansion waves
125
in
FIG. 9
emanate from the suction surface
66
, and pass through a cross-passage shock
115
. The invention provides a means, or method, for increasing the strength of that cross-passage shock
115
.
It is recognized in the art how to derive a mean, or representative, gas stream
73
in FIG.
5
. One approach is to simply draw a line perpendicular to the airfoil mouth
55
. Another is to take a mean vector representing all flow vectors exiting the mouth
55
.
Another form of the invention can be viewed as a transonic turbine blade equipped with means for aerodynamically unloading its trailing edge. The curvature of
FIG. 10
provides an example of such a means.
Angle A
2
in
FIG. 5
is greater than angle B
2
, but no more than five degrees greater.
Angle A
1
in
FIG. 5
is either (1) less than angle B
2
, but no more than five degrees less, or (2) more than B
2
, but no more than five degrees more.
As to the term bending, the amount of bending between two points on a curved surface can be defined as the angle made by two tangents at the two respective points. For example,
FIG. 16
shows a curve
300
, and two tangents
305
and
310
. The amount of bending between the two tangent points
330
and
340
equals angle
315
. As another example, the amount of bending of a cylinder between the 12 o'clock position and the 3 o'clock position would be 90 degrees. This definition may not apply if an inflection point occurs between the points.
The invention has particular application in a transonic turbine. A transonic turbine is characterized by its design to extract as much energy as possible from a moving gas stream, yet use the smallest number possible of turbine stages and airfoils.
A turbine stage is defined as a pair of elements, namely, a (1) set of stationary inlet guide vanes, IGVs, and (2) a row of rotating turbine blades.
FIG. 17
represents two stages.
For a single turbine stage
204
, the level of energy extraction can be defined as a normalized amount of energy, which equals the amount of energy extracted by the stage, in BTU's, British Thermal Units, per pound of gas flow divided by the absolute total temperature at the vane exit, such as at point
205
in FIG.
17
. That is, the quantity computed is BTU/(lbm*R), wherein BTU represents energy extracted per stage, lbm is mass flow of gas in pounds per second, and R is temperature on the Rankine scale.
In one form of the invention, this quantity lies in the range of 0.0725 to 0.0800 for a single stage. The principles of the invention apply to turbines operating in this range, and above.
Another measure of the type of environment in which the invention operates is indicated by the ratio of two absolute pressures. The ratio is that between (1) the absolute pressure at the inlet to a stage, at point
210
in
FIG. 17
, to (2) the absolute pressure at the outlet of a stage, at point
215
. In one form of the invention, this ratio lies in the range of 3.5 to 5.0.
A third measure of the type of environment in which the invention operates is indicated by the pressure ratio across a blade, as opposed to that across a stage. Under one form of the invention, the ratio of (1) the total pressure at a blade inlet, at point
230
in
FIG. 17
, to (2) the static pressure at the airfoil (or blade) exit, at point
215
, lies in the range of 2.3 to 3.0.
It was stated above that the amount of bending between the mouth and trailing edge should be limited to two degrees. However, in other embodiments, bending as great as six degrees is possible.
The discussion above placed a limit of 0.005 inch on dimension
153
in FIG.
10
. In another form of the invention, the limit can be computed in a different manner.
FIG. 18
illustrates region
110
, which can correspond to region
110
in
FIG. 5
, or can represent a comparable surface, running from blade mouth to trailing edge, on a larger blade, such as one used in a steam turbine.
In one form of the invention, a limit of six degrees is placed on both angles AX and AZ in FIG.
18
. Surface
111
is flat. Region
110
of
FIG. 5
must occupy the envelope between dashed surface
110
A and surface
111
.
Given these limits of six degrees, the maximum value of the deviation DEV from surface
111
is (LENGTH
—
11½) TAN 6, wherein LENGTH
—
110 is the length of surface
110
. If, as in Table 1, LENGTH
—
110 is about ⅓ inch, then the maximum value of DEV is 0.0175. If, in a longer blade, LENGTH
—
111 is 1.5 inches, then the maximum value of DEV is 0.079 inch.
The surface
110
within envelope
110
A may be rippled, or wavy, but must still lie within the envelope determined by parameter DEV.
The limits just stated were for angles of six degrees. Other forms of the invention implement the same type of limit, but for different angles. Angles AX and AZ of 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 4.0, 4.5, 5.0, 5.5, and 6.0 degrees are included. For example, a particular blade may impose a limit on DEV based on a three degree limit. The limit on DEV accordingly is (LENGTH
—
11½) TAN 3. If LENGTH
—
111 is ⅓ inch, then the limit on DEV is 0.0087 inch.
The general form of the limit is (LENGTH
—
11½)TANx, wherein x is one of the angles in the series specified in the previous paragraph, running from 0.5 to 6.0.
FIG. 19
illustrates the trailing edge of a turbine blade found in the prior art, having a thickness of 0.050 inch, as indicated. The blade in question provided the desirable pressure ratio PSMAX/PSMIN of 1.35 in the 50 percent chord plane of FIG.
14
. This ratio was discussed above. However, that blade is believed to provide an unfavorable efficiency, as indicated by total pressure loss. Under the invention, cascade testing indicates that total pressure loss at the 50 percent chord plane of
FIG. 14
is 3.75 percent. This testing was done on a 1.5 scale airfoil of the type shown in
FIG. 20
, using trailing edge cooling, at a total static pressure ratio of 2.8.
The invention provides a trailing edge thickness of 0.029 inch, plus-or-minus 0.002 inches, as indicated in FIG.
20
. That is, under the invention, the thickness ranges between 0.027 and 0.031 inch. In addition, in order to cool the trailing edge, a cooling passage
300
is provided, which connects to an internal cooling cavity
305
. Pressurized air is forced through the passage
300
from the cavity
305
.
A significant feature is that, under today's technology, providing a central cooling passage in the apparatus of
FIG. 20
, which is analogous to passage
315
in
FIG. 19
, is not considered feasible. A primary reason is that the indicated thickness of 0.029 inch in
FIG. 20
is considered a minimal limit on material thickness, for reasons of strength.
Restated, if the thickness in
FIG. 19
were 0.029 inch instead of 0.050 inch, then, if a passage analogous to passage
315
is provided, the absolute maximum available wall thickness in walls
320
and
325
would be [(0.029/2)-radius of passage
315
]. Clearly, even with a radius of 0.001 inch in passage
315
, the wall thickness would be less than 0.015 inch, which is below the limit.
The invention of
FIG. 20
circumvents this problem by placing the exit to cooling passage
300
entirely on the pressure surface
63
.
Thickness of the trailing edge is defined as the diameter of the fillet, or curve, in which the trailing edge terminates. That is, in
FIG. 20
, one could move downstream of the point at which 0.029 is indicated, and take a measurement at that downstream location. The measurement would be less than 0.029. However, one would be measuring a chord at that point, and not a diameter as required.
Numerous substitutions and modifications can be undertaken without departing from the true spirit and scope of the invention. What is desired to be secured by Letters Patent is the invention as defined in the following claims.
Claims
- 1. A system, comprising:a) a transonic turbine comprising one or more stages, each including i) rotors carrying turbine blades and ii) stators and having a normalized energy extraction per stage above 0.0725 BTU/(lbm*R); and b) means on a rotor for unloading turbine blades at their trailing edges.
- 2. System according to claim 1, wherein said means comprises a region on a suction surface of a turbine blade, whichi) terminates with the trailing edge of the turbine blade, and ii) has no more than six degrees of bending.
- 3. System according to claim 2, wherein said means has no more than two degrees of bending.
- 4. System according to claim 2, wherein metal angle of said region continually increases in the downstream direction.
- 5. System according to claim 4, wherein the first derivative of metal angle continually increases in the downstream direction.
- 6. A system, comprising:a) a transonic turbine comprising one or more stages, each including i) rotors carrying turbine blades and ii) stators and having an absolute pressure ratio per stage between 3.5 and 5.0; and b) means on a rotor for unloading turbine blades at their trailing edges.
- 7. System according to claim 6, wherein said means comprises a region on a suction surface of a turbine blade, whichi) terminates with the trailing edge of the turbine blade, and ii) has no more than two degrees of bending.
- 8. System according to claim 7, wherein metal angle of said region continually increases in the downstream direction.
- 9. System according to claim 8, wherein the first derivative of metal angle continually increases in the downstream direction.
- 10. A suction side for use in a turbine blade and having an airfoil mouth defined thereon, comprising:a) a lift region; and c) a trailing surface located downstream of the airfoil mouth and containing no more than two degrees of bending.
- 11. Apparatus according to claim 10, wherein the trailing surface becomes progressively closer to the circumferential direction as the trailing surface progresses in the downstream direction.
- 12. A system, comprising:a) first and second turbine blades, i) each having a suction side and a pressure side, and ii) both cooperating to form an airfoil passage therebetween which terminates in an airfoil mouth; and b) on the second blade, a suction surface on the suction side which is configured such that: i) all bending, except two degrees of bending, lies forward of the airfoil mouth.
- 13. A transonic turbine blade system, comprising:a) a pair of neighboring blades, which cooperate to define an airfoil passage and an airfoil mouth; b) a suction side on one of the blades, having a blade metal angle defined therein, such that, downstream of the airfoil mouth, the metal angle i) progressively increases in the downstream direction, and ii) has a derivative which also progressively increases in the downstream direction.
- 14. Apparatus, comprising:a) a row of transonic turbine blades having trailing edges which are no more than 0.029 inch thick, in which i) airfoil passages are defined between adjacent blades and ii) expansion waves emanate from points on the suction surfaces of the blades, the points being located on the suction surfaces of the blades; and b) means for creating a cross-passage shock through which the expansion waves pass, to thereby attain a ratio of (maximum static pressure/minimum static pressure) in a 50 percent chord plane of less than 1.35.
- 15. Apparatus according to claim 14, wherein the means comprises an apparatus for reducing the aerodynamic loading of the trailing edges of the blades.
- 16. Apparatus comprising:a) a turbine rotor; and b) blades on the rotor having trailing edges no more than 0.029 inch thick, which i) have a chord length defined therein, ii) are located in a transonic, or greater, flow, and iii) generate a pressure field in which the ratio of (maximum static pressure/minimum static pressure) in a 50 percent chord plane is less than 1.35.
- 17. A turbine blade, comprising:a) a blade mouth defined on the suction side; b) 94 degrees or more of curve of the suction side located upstream of the mouth; and c) a trailing edge of thickness between 0.027 and 0.031 inch.
US Referenced Citations (16)