First and second stage turbine airfoil shapes

Information

  • Patent Grant
  • 7467920
  • Patent Number
    7,467,920
  • Date Filed
    Wednesday, January 3, 2007
    17 years ago
  • Date Issued
    Tuesday, December 23, 2008
    16 years ago
Abstract
The first stage nozzles and buckets have nominal airfoil profiles substantially in accordance with Cartesian coordinate values of X, Y and R set forth in Tables I and II, respectively, and second stage nozzles and buckets have nominal airfoil profiles substantially in accordance with Cartesian coordinate values set forth in Tables III and IV, respectively. The X, Y and R values are in millimeters. R represents distances along a radius from an axis of rotation of the turbine. For each airfoil, X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius at each distance R. The profile sections at the R distances for each airfoil are joined smoothly with one another to form the airfoil shape. The airfoil shapes given by the X, Y and R distances lie within envelopes of ±4.064 millimeters in a direction normal to any airfoil surface location therealong.
Description
BACKGROUND OF THE INVENTION

The present invention relates to airfoil shapes for a gas turbine and particularly relates to nozzle and bucket airfoil shapes for the first and second stages of the gas turbine.


There are many considerations in the design and construction of nozzle and bucket airfoils for turbines, including optimized aerodynamic efficiency, aerodynamic and mechanical blade loading and the interaction between various stages of a gas turbine. For example, and with respect to turbine nozzles, the airfoil shape of the nozzles provides guided turning of the hot gases for interactions along the hot gas path among the various stages of the turbine with substantial effect on the overall efficiency of the turbine. Accordingly, there is a need for airfoil shapes for each of the first and second stage nozzles and buckets for optimizing the efficiency of the gas turbine.


BRIEF DESCRIPTION OF THE INVENTION

In a preferred embodiment of the invention, there is provided a turbine nozzle including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table I wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape.


In a further preferred embodiment of the present invention, there is provided a turbine bucket including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table II wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape.


In another embodiment of the present invention, there is provided a turbine nozzle including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table III wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections in planes normal to the radius and at the R distances being joined smoothly with one another to form the airfoil shape.


In another preferred embodiment of the present invention, there is provided a turbine bucket including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table IV wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape.


In a still further preferred embodiment of the present invention, there is provided a first stage of a turbine having a plurality of nozzles in a circumferential array thereof about a turbine axis and a plurality of buckets in a circumferential array thereof about the axis downstream of the nozzles, each nozzle including an airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table I wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape, each bucket including a bucket airfoil having an airfoil shape, the bucket airfoil having a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters Table II wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define bucket airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances of Table II being joined smoothly with one another to form the bucket airfoil shape.


In another embodiment of the present invention, there is provided a second stage of a turbine having a plurality of nozzles in a circumferential array thereof about a turbine axis and a plurality of buckets in a circumferential array thereof about the axis downstream of the nozzles, each nozzle including an airfoil having an airfoil shape, the bucket airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table III wherein R is a distance along a radius from the axis of rotation of the turbine and X and y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape, each bucket including a bucket airfoil having an airfoil shape, the bucket airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table IV wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances of Table IV being joined smoothly with one another to form the bucket airfoil shape.





BRIEF DESCRIPTION OF THE DRAWINGS


FIG. 1 is a generalized schematic illustration of the hot gas path of a turbine having first and second stage nozzle and bucket airfoil shapes in accordance with a preferred aspect of the present invention;



FIGS. 2 and 3 constitute plots of the first stage nozzle and bucket airfoil shapes, respectively, at the near root, near pitch and near tip sections; and



FIGS. 4 and 5 constitute plots of the second stage nozzle and bucket airfoil shapes at the near root, near pitch and near tip sections.





DETAILED DESCRIPTION OF THE INVENTION

Referring now to FIG. 1, there is illustrated a portion of a turbine generally designated 10 and particularly the first and second stages 11 and 13, respectively of the turbine 10. Turbine 10 includes a rotor 12 and an outer casing 14. The first stage 11 of the gas turbine 10 includes a first stage nozzle having an array of circumferentially spaced nozzle airfoils 16 secured to casing 14 and an array of circumferentially spaced buckets 18 mounted on the rotor 12. The second stage 13 of the turbine includes an array of circumferentially spaced nozzle airfoils 20 secured to casing 14 and an array of circumferentially spaced buckets 22 mounted on the rotor 12. It will be appreciated that the turbine may include additional stages. Also, each of the nozzle and bucket airfoils have respective unique airfoil shapes for optimizing aerodynamic efficiency and aerodynamic and mechanical blade loading in the hot gas stream, generally indicated by the arrow 24, flowing in the annular hot gas flowpath.


A Cartesian coordinate system of X, Y and R values given in millimeters in Tables I-IV define the profile of the airfoils 16, 18, 20 and 22, respectively. The coordinate values for the X, Y and R coordinates are set forth in millimeters in these tables although other units of dimensions may be used. The Cartesian coordinate system has orthogonally related X, Y and R axes. The R axis is a linear distance in millimeters from an axis of rotation of the turbine and along a radius to a plane normal thereto containing the X and Y values which define airfoil profile sections at each distance R from the axis of rotation. The X axis extends in a direction parallel to the turbine rotor centerline, i.e. the axis of rotation, and the Y axis extends in a tangential direction


By defining X and Y coordinate values in planes perpendicular to and at selected distances in an R direction, the profile of each airfoil can be ascertained. By connecting the X and Y values in each plane with smooth continuing arcs, each profile section at each distance R given in the Tables is fixed. The surface profiles at the various surface locations between the profile section planes at distances R are determined by smoothly connecting the adjacent profile sections to one another to form the airfoil shape.


The values set forth in Tables I-IV represent the airfoil profile sections at ambient non-operating or non-hot conditions. The values provided in Tables I-IV are generated and shown to three decimal places for determining the profiles of the airfoils. There are typical manufacturing tolerances as well as coatings which must be accounted for in the actual profile of each airfoil. Accordingly, the values for the profiles given in Tables I-IV are for nominal airfoils. It will therefore be appreciated that ± typical manufacturing tolerances, i.e., ± values, including any coating thicknesses, are additive to or subtractive from the X, Y values given in the tables below. Accordingly, a distance of ±4.064 mm in a direction normal to any surface location along each airfoil surface defines an airfoil profile envelope for the particular airfoil shape.


The coordinate values given in Table I below provide the preferred nominal profile shape excluding fillet regions for the first stage nozzle airfoil 16.









TABLE I







Stage 1 Nozzle Airfoil












X
Y
R
X
Y
R















26.066
45.234
494.350
−25.071
−12.684
494.350


26.218
33.453
494.350
−21.845
−20.450
494.350


28.217
50.428
494.350
−21.643
−5.060
494.350


18.693
31.651
494.350
−16.402
−24.581
494.350


29.153
48.638
494.350
−24.927
−10.973
494.350


23.042
39.061
494.350
−22.905
−19.098
494.350


27.656
40.176
494.350
−20.385
−3.888
494.350


26.751
46.810
494.350
−17.903
−23.745
494.350


25.843
31.775
494.350
−24.487
−9.314
494.350


28.535
50.650
494.350
−23.795
−17.629
494.350


19.613
33.103
494.350
−19.054
−2.801
494.350


28.900

494.350
−19.321
−22.775
494.350


23.836
40.585
494.350
−23.753
−7.762
494.350


27.308
38.493
494.350
−24.480
−16.054
494.350


27.402
48.401
494.350
−17.677
−1.773
494.350


25.463
30.099
494.350
−20.642
−21.677
494.350


28.920
50.629
494.350
−6.404
−26.515
494.350


20.508
34.570
494.350
−14.832
−25.280
494.350


28.620
45.242
494.350
0.163
−24.622
494.350


24.606
42.122
494.350
−8.121
−26.587
494.350


26.951
36.812
494.350
−14.844
0.174
494.350


29.226
50.394
494.350
−1.404
−25.327
494.350


21.378
36.053
494.350
−9.837
−26.494
494.350


28.315
43.550
494.350
−13.407
1.117
494.350


25.350
43.671
494.350
−3.031
−25.880
494.350


26.587
35.132
494.350
−11.536
−26.242
494.350


17.747
30.215
494.350
−11.968
2.058
494.350


29.338
50.024
494.350
−4.702
−26.278
494.350


22.222
37.550
494.350
−13.206
−25.835
494.350


27.992
41.862
494.350
3.166
13.359
494.350


−3.486
7.921
494.350
9.268
19.406
494.350


−9.100
3.954
494.350
4.433
14.520
494.350


−2.118
8.962
494.350
10.417
20.685
494.350


−7.678
4.919
494.350
5.677
15.706
494.350


−0.768
10.025
494.350
11.540
21.986
494.350


−6.267
5.901
494.350
6.898
16.916
494.350


0.564
11.112
494.350
12.638
23.308
494.350


−4.870
6.901
494.350
1.876
12.223
494.350


−10.532
3.002
494.350
8.095
18.149
494.350


−22.785
−6.343
494.350
13.711
24.651
494.350


−24.918
−14.394
494.350
20.418
10.101
494.350


−16.270
−0.786
494.350
24.290
25.078
494.350


22.220
16.736
494.350
16.527
29.543
500.230


14.758
26.014
494.350
24.373
28.905
500.230


19.940
8.450
494.350
20.998
36.953
500.230


23.888
23.406
494.350
27.584
44.153
500.230


21.784
15.074
494.350
24.824
44.717
500.230


15.780
27.396
494.350
25.871
35.667
500.230


19.449
6.803
494.350
17.473
30.992
500.230


23.481
21.736
494.350
23.987
27.217
500.230


21.339
13.413
494.350
28.494
51.317
500.230


16.776
28.797
494.350
21.814
38.480
500.230


25.077
28.424
494.350
27.266
42.451
500.230


18.942
5.161
494.350
25.510
46.307
500.230


23.068
20.068
494.350
25.504
33.975
500.230


20.884
11.756
494.350
18.394
32.459
500.230


24.686
26.750
494.350
28.400
49.283
500.230


18.418
3.523
494.350
28.610
50.942
500.230


22.648
18.401
494.350
22.604
40.021
500.230


11.797
−12.309
494.350
26.933
40.752
500.230


6.876
−19.334
494.350
26.165
47.910
500.230


10.930
−13.794
494.350
25.132
32.284
500.230


5.690
−20.578
494.350
27.480
51.333
500.230


10.010
−15.245
494.350
19.288
33.942
500.230


4.426
−21.743
494.350
28.157
47.569
500.230


9.031
−16.658
494.350
−7.679
5.069
500.230


3.082
−22.814
494.350
−0.793
10.314
500.230


12.617
−10.799
494.350
−13.398
1.163
500.230


7.988
−18.024
494.350
−6.271
6.078
500.230


1.660
−23.779
494.350
0.532
11.429
500.230


17.876
1.892
494.350
−11.961
2.129
500.230


14.826
−6.140
494.350
−4.878
7.106
500.230


17.315
0.268
494.350
−10.526
3.098
500.230


14.128
−7.711
494.350
−3.499
8.153
500.230


16.731
−1.349
494.350
−9.098
4.077
500.230


13.393
−9.265
494.350
−2.137
9.222
500.230


16.125
−2.958
494.350
−14.834
0.195
500.230


15.490
−4.555
494.350
−16.360
−24.862
500.230


27.795
51.563
500.230
−24.926
−11.112
500.230


28.183
51.550
500.230
−22.878
−19.293
500.230


15.554
28.110
500.230
−20.373
−3.956
500.230


23.370
41.574
500.230
−17.862
−24.002
500.230


26.588
39.055
500.230
−24.483
−9.440
500.230


26.787
49.526
500.230
−23.776
−17.813
500.230


24.755
30.594
500.230
−25.071
−12.835
500.230


20.156
35.440
500.230
−19.042
−2.848
500.230


27.883
45.859
500.230
−19.282
−23.012
500.230


24.109
43.140
500.230
−23.747
−7.875
500.230


26.233
37.361
500.230
−24.470
−16.229
500.230


−17.666
−1.798
500.230
13.188
−9.256
500.230


−20.605
−21.897
500.230
9.025
−16.835
500.230


−22.775
−6.444
500.230
3.206
−23.196
500.230


−24.916
−14.557
500.230
12.453
−10.823
500.230


−16.260
−0.788
500.230
8.018
−18.243
500.230


−21.812
−20.656
500.230
1.791
−24.193
500.230


−21.631
−5.145
500.230
11.674
−12.370
500.230


−1.280
−25.782
500.230
6.938
−19.597
500.230


−9.776
−26.892
500.230
10.847
−13.891
500.230


−2.918
−26.342
500.230
16.892
0.446
500.230


−11.484
−26.610
500.230
13.884
−7.670
500.230


−4.603
−26.736
500.230
16.341
−1.196
500.230


−13.159
−26.172
500.230
15.769
−2.831
500.230


−6.320
−26.961
500.230
15.171
−4.455
500.230


−14.788
−25.588
500.230
14.544
−6.069
500.230


0.293
−25.061
500.230
27.748
52.275
506.110


−8.050
−27.012
500.230
28.062
52.044
506.110


10.289
21.241
500.230
27.964
49.842
506.110


5.606
16.141
500.230
27.044
52.049
506.110


11.395
22.573
500.230
28.176
51.669
506.110


6.815
17.381
500.230
26.423
50.363
506.110


12.475
23.927
500.230
27.357
52.285
506.110


1.835
12.569
500.230
16.477
30.050
506.110


7.999
18.644
500.230
13.530
25.730
506.110


13.528
25.302
500.230
14.540
27.151
506.110


3.116
13.735
500.230
15.523
28.591
506.110


9.157
19.931
500.230
24.037
29.299
506.110


4.373
14.925
500.230
20.835
37.596
506.110


23.202
23.844
500.230
27.170
44.672
506.110


21.153
15.432
500.230
24.532
45.488
506.110


18.914
7.069
500.230
25.501
36.117
506.110


22.803
22.159
500.230
17.403
31.527
506.110


20.724
13.755
500.230
23.660
27.597
506.110


18.433
5.406
500.230
21.626
39.150
506.110


22.399
20.475
500.230
26.862
42.957
506.110


20.286
12.080
500.230
25.193
47.101
506.110


17.936
3.747
500.230
25.143
34.411
506.110


21.990
18.793
500.230
18.302
33.021
506.110


19.840
10.407
500.230
23.277
25.896
506.110


23.596
25.530
500.230
22.391
40.716
506.110


17.423
2.094
500.230
26.538
41.243
506.110


21.575
17.112
500.230
25.823
48.726
506.110


14.554
26.697
500.230
24.779
32.706
506.110


19.383
8.736
500.230
19.173
34.531
506.110


5.779
−20.882
500.230
27.725
48.115
506.110


9.967
−15.382
500.230
23.130
42.295
506.110


4.535
−22.087
500.230
26.201
39.533
506.110


24.411
31.002
506.110
−2.816
−26.666
506.110


20.018
36.056
506.110
6.867
17.675
506.110


27.459
46.392
506.110
12.490
24.330
506.110


23.844
43.886
506.110
8.048
18.958
506.110


25.854
37.824
506.110
3.170
13.976
506.110


−17.628
−1.833
506.110
9.201
20.265
506.110


−16.225
−0.798
506.110
4.428
15.183
506.110


−14.803
0.210
506.110
10.326
21.597
506.110


0.582
11.640
506.110
5.661
16.416
506.110


−11.933
2.191
506.110
11.422
22.952
506.110


−4.841
7.258
506.110
18.222
5.597
506.110


1.888
12.795
506.110
22.105
20.799
506.110


−10.499
3.181
506.110
20.035
12.331
506.110


−3.459
8.321
506.110
17.738
3.923
506.110


−9.069
4.179
506.110
21.704
19.102
506.110


−2.093
9.404
506.110
19.598
10.643
506.110


−7.648
5.189
506.110
17.237
2.253
506.110


−0.746
10.510
506.110
21.297
17.407
506.110


−13.369
1.202
506.110
19.151
8.958
506.110


−6.238
6.215
506.110
22.891
24.196
506.110


−19.002
−2.907
506.110
16.720
0.588
506.110


−19.275
−23.249
506.110
20.884
15.713
506.110


−23.708
−8.001
506.110
18.693
7.276
506.110


−24.478
−16.405
506.110
22.500
22.497
506.110


−20.605
−22.123
506.110
16.184
−1.071
506.110


−22.729
−6.560
506.110
20.463
14.021
506.110


−24.918
−14.720
506.110
9.057
−16.930
506.110


−14.759
−25.859
506.110
3.315
−23.439
506.110


−21.818
−20.872
506.110
12.401
−10.817
506.110


−25.071
−12.986
506.110
8.070
−18.367
506.110


−21.585
−5.246
506.110
11.643
−12.387
506.110


−16.339
−25.122
506.110
7.008
−19.750
506.110


−24.918
−11.251
506.110
14.435
−6.000
506.110


−22.888
−19.496
506.110
10.837
−13.933
506.110


−20.329
−4.037
506.110
5.866
−21.066
506.110


−17.848
−24.250
506.110
13.794
−7.621
506.110


−24.459
−9.572
506.110
9.977
−15.450
506.110


−23.786
−18.004
506.110
4.635
−22.301
506.110


−11.438
−26.906
506.110
13.117
−9.228
506.110


−4.513
−27.066
506.110
15.627
−2.724
506.110


−13.122
−26.455
506.110
15.045
−4.367
506.110


1.905
−24.463
506.110
27.475
52.958
511.990


−6.241
−27.289
506.110
24.975
47.788
511.990


0.408
−25.356
506.110
27.682
50.447
511.990


−7.983
−27.333
506.110
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535.510
−24.400
−10.210
535.510


27.190
53.017
535.510
−18.790
−3.255
535.510


28.087
48.269
535.510
−11.589
2.186
535.510


28.085
54.694
535.510
−23.605
−8.591
535.510


24.410
46.353
535.510
−17.390
−2.115
535.510


26.535
39.375
535.510
−25.072
−13.737
535.510


21.276
39.846
535.510
−22.593
−7.097
535.510


27.797
46.487
535.510
−8.670
4.313
535.510


28.495
54.678
535.510
−1.595
9.917
535.510


25.144
48.002
535.510
−7.224
5.394
535.510


26.203
37.601
535.510
−0.236
11.106
535.510


22.090
41.458
535.510
−5.792
6.494
535.510


27.495
44.707
535.510
1.100
12.321
535.510


28.814
54.442
535.510
−4.375
7.613
535.510


25.854
49.662
535.510
−10.127
3.246
535.510


18.707
35.078
535.510
−2.975
8.753
535.510


9.679
21.586
535.510
−14.557
−27.277
535.510


14.957
28.907
535.510
−21.738
−21.933
535.510


10.791
23.009
535.510
−16.175
−26.477
535.510


15.932
30.427
535.510
−22.821
−20.490
535.510


11.874
24.454
535.510
−17.714
−25.534
535.510


16.881
31.963
535.510
−23.736
−18.934
535.510


7.370
18.811
535.510
−11.132
−28.405
535.510


12.929
25.919
535.510
−19.164
−24.458
535.510


17.806
33.513
535.510
−24.448
−17.276
535.510


8.539
20.187
535.510
−12.872
−27.923
535.510


13.957
27.404
535.510
−20.511
−23.257
535.510


24.100
26.973
535.510
−24.909
−15.533
535.510


22.189
18.150
535.510
1.052
−26.493
535.510


−7.553
−28.831
535.510
28.535
54.627
541.390


−0.549
−27.327
535.510
27.970
53.247
541.390


−9.354
−28.712
535.510
28.816
48.316
541.390


5.306
−23.162
535.510
25.086
46.561
541.390


−2.228
−27.987
535.510
27.261
39.345
541.390


3.980
−24.388
535.510
21.848
40.037
541.390


−3.968
−28.466
535.510
28.522
46.519
541.390


2.563
−25.505
535.510
26.930
37.555
541.390


−5.750
−28.750
535.510
28.863
54.869
541.390


18.130
2.418
535.510
25.847
48.215
541.390


15.261
−6.140
535.510
26.594
35.765
541.390


11.574
−14.375
535.510
22.687
41.654
541.390


17.603
0.691
535.510
28.218
44.723
541.390


14.602
−7.821
535.510
29.275
54.849
541.390


17.055
−1.030
535.510
26.583
49.880
541.390


13.907
−9.488
535.510
26.252
33.977
541.390


16.484
−2.743
535.510
29.365
51.916
541.390


13.173
−11.137
535.510
10.019
21.705
541.390


15.887
−4.447
535.510
15.374
29.064
541.390


12.397
−12.768
535.510
11.143
23.137
541.390


20.064
9.376
535.510
16.368
30.590
541.390


19.604
7.630
535.510
12.240
24.590
541.390


19.130
5.888
535.510
17.337
32.131
541.390


18.639
4.150
535.510
7.688
18.907
541.390


20.511
11.125
535.510
13.311
26.063
541.390


7.692
−20.455
535.510
21.216
10.851
541.390


6.542
−21.846
535.510
18.284
33.687
541.390


10.698
−15.954
535.510
8.867
20.295
541.390


9.763
−17.498
535.510
14.355
27.555
541.390


8.764
−19.002
535.510
20.763
9.087
541.390


5.248
16.204
541.390
22.504
16.159
541.390


0.042
11.113
541.390
25.906
32.189
541.390


6.482
17.543
541.390
24.086
23.268
541.390


1.383
12.345
541.390
22.085
14.387
541.390


2.698
13.604
541.390
25.554
30.403
541.390


3.987
14.891
541.390
23.703
21.488
541.390


20.109
36.838
541.390
21.656
12.617
541.390


20.989
38.432
541.390
25.196
28.617
541.390


19.207
35.256
541.390
23.312
19.710
541.390


23.505
43.280
541.390
24.832
26.833
541.390


27.906
42.929
541.390
22.913
17.933
541.390


29.593
54.607
541.390
24.462
25.050
541.390


29.679
54.223
541.390
−21.343
−5.838
541.390


27.291
51.558
541.390
−14.325
−0.056
541.390


29.098
50.115
541.390
−24.899
−12.077
541.390


24.305
44.916
541.390
−20.038
−4.569
541.390


27.586
41.137
541.390
−25.073
−13.887
541.390


−12.850
1.011
541.390
18.792
2.076
541.390


−24.390
−10.332
541.390
15.850
−6.538
541.390


−24.446
−17.457
541.390
12.054
−14.806
541.390


−18.660
−3.378
541.390
18.253
0.337
541.390


−11.373
2.076
541.390
20.295
7.327
541.390


−23.577
−8.705
541.390
19.812
5.572
541.390


−24.909
−15.698
541.390
10.189
−17.933
541.390


−17.240
−2.239
541.390
9.160
−19.435
541.390


−9.899
3.145
541.390
8.058
−20.884
541.390


−22.539
−7.210
541.390
6.950
17.471
547.270


−15.792
−1.136
541.390
3.105
13.522
547.270


−8.433
4.225
541.390
0.410
11.024
547.270


−1.323
9.908
541.390
5.695
16.129
547.270


−6.978
5.320
541.390
4.414
14.812
547.270


−5.538
6.434
541.390
1.770
12.259
547.270


−4.114
7.569
541.390
−0.973
9.815
547.270


−2.709
8.727
541.390
−2.378
8.630
547.270


−22.814
−20.702
541.390
19.939
35.239
547.270


−17.677
−25.802
541.390
21.766
38.427
547.270


−23.732
−19.131
541.390
20.863
36.827
547.270


−11.044
−28.707
541.390
18.993
33.664
547.270


−19.137
−24.714
541.390
18.024
32.102
547.270


−12.797
−28.218
541.390
30.284
54.910
547.270


−20.493
−23.500
541.390
28.841
42.872
547.270


−14.496
−27.564
541.390
25.174
44.938
547.270


−21.726
−22.161
541.390
24.351
43.295
547.270


−16.126
−26.755
541.390
26.827
32.033
547.270


−0.357
−27.688
541.390
27.856
37.448
547.270


−9.251
−29.020
541.390
29.868
54.932
547.270


5.609
−23.577
541.390
22.648
40.039
547.270


−2.058
−28.335
541.390
28.254
51.610
547.270


4.253
−24.791
541.390
28.518
41.063
547.270


−3.818
−28.801
541.390
29.158
44.682
547.270


2.806
−25.895
541.390
29.768
48.306
547.270


−5.617
−29.075
541.390
30.341
51.935
547.270


1.268
−26.869
541.390
29.538
54.687
547.270


−7.435
−29.147
541.390
30.600
54.658
547.270


6.876
−22.269
541.390
28.957
53.308
547.270


15.172
−8.228
541.390
23.509
41.662
547.270


11.152
−16.388
541.390
27.523
49.925
547.270


17.692
−1.396
541.390
26.763
48.252
547.270


14.457
−9.902
541.390
25.978
46.590
547.270


17.106
−3.120
541.390
27.175
33.837
547.270


13.702
−11.559
541.390
27.518
35.642
547.270


19.311
3.821
541.390
29.467
46.493
547.270


16.493
−4.835
541.390
30.059
50.120
547.270


12.902
−13.195
541.390
30.658
54.047
547.270


28.190
39.255
547.270
−8.177
4.117
547.270


11.697
23.080
547.270
−3.802
7.469
547.270


9.377
20.230
547.270
−6.703
5.214
547.270


21.634
8.722
547.270
−19.061
−24.951
547.270


17.032
30.556
547.270
−16.021
−27.006
547.270


14.975
27.511
547.270
−12.662
−28.484
547.270


21.158
6.947
547.270
−10.893
−28.981
547.270


10.551
21.644
547.270
−22.779
−20.908
547.270


8.177
18.839
547.270
−9.085
−29.304
547.270


22.094
10.500
547.270
−20.431
−23.727
547.270


12.816
24.537
547.270
−17.586
−26.046
547.270


16.016
29.025
547.270
−14.375
−27.822
547.270


13.908
26.015
547.270
−21.678
−22.378
547.270


24.997
23.030
547.270
−1.817
−28.691
547.270


22.542
12.283
547.270
1.567
−27.274
547.270


23.400
15.856
547.270
6.021
−24.051
547.270


25.376
24.828
547.270
−3.600
−29.134
547.270


26.114
28.428
547.270
−7.254
−29.444
547.270


22.977
14.068
547.270
−0.089
−28.068
547.270


23.813
17.646
547.270
3.140
−26.326
547.270


24.217
19.439
547.270
4.625
−25.245
547.270


24.611
21.233
547.270
7.328
−22.760
547.270


25.748
26.627
547.270
−5.418
−29.388
547.270


26.473
30.230
547.270
16.603
−7.021
547.270


−9.663
3.036
547.270
10.754
−18.449
547.270


−23.709
−19.325
547.270
13.561
−13.709
547.270


−25.073
−14.037
547.270
17.895
−3.581
547.270


−21.284
−5.936
547.270
19.071
−0.100
547.270


−12.655
0.902
547.270
20.154
3.412
547.270


−14.152
−0.163
547.270
15.905
−8.721
547.270


−17.113
−2.340
547.270
9.689
−19.946
547.270


−19.955
−4.668
547.270
11.751
−16.906
547.270


−24.387
−10.449
547.270
12.684
−15.323
547.270


−23.563
−8.809
547.270
14.387
−12.067
547.270


−24.434
−17.638
547.270
15.167
−10.404
547.270


−22.506
−7.308
547.270
17.265
−5.308
547.270


−24.899
−12.210
547.270
18.496
−1.845
547.270


−24.905
−15.864
547.270
19.623
1.653
547.270


−11.157
1.966
547.270
20.665
5.177
547.270


−15.641
−1.239
547.270
8.549
−21.387
547.270


−18.556
−3.478
547.270


−5.244
6.331
547.270









As an example, the profile sections of the first stage nozzle airfoils 16 at each of near root, near pitch and near tip distances R are illustrated in FIG. 2.


The coordinate values given in Table II below provide the preferred nominal profile shape excluding the fillet region for the first stage bucket airfoil 18.









TABLE II







Stage 1 Bucket Airfoil












X
Y
R
X
Y
R















397.512
−0.247
501.471
391.171
17.632
501.471


377.726
3.399
501.471
399.570
−1.226
501.471


403.720
13.970
501.471
384.051
−0.349
501.471


400.021
16.614
501.471
378.277
5.607
501.471


391.940
0.774
501.471
403.293
−3.848
501.471


382.576
12.267
501.471
406.050
11.470
501.471


392.285
17.871
501.471
407.418
9.646
501.471


395.693
17.968
501.471
394.214
0.628
501.471


386.291
0.077
501.471
384.227
13.839
501.471


379.216
7.682
501.471
401.959
15.416
501.471


401.494
−2.447
501.471
398.989
17.097
501.471


408.658
7.733
501.471
388.536
0.476
501.471


396.437
0.131
501.471
380.414
9.621
501.471


402.861
14.719
501.471
386.033
15.228
501.471


396.817
17.782
501.471
389.018
16.888
501.471


390.801
0.732
501.471
398.557
−0.702
501.471


381.811
11.421
501.471
377.938
4.518
501.471


390.080
17.302
501.471
404.536
13.174
501.471


393.416
18.010
501.471
405.313
12.339
501.471


385.172
−0.141
501.471
393.080
0.743
501.471


378.709
6.661
501.471
383.381
13.074
501.471


402.408
−3.128
501.471
394.555
18.044
501.471


408.053
8.699
501.471
397.918
17.489
501.471


395.335
0.424
501.471
387.412
0.288
501.471


385.111
14.558
501.471
379.787
8.669
501.471


406.751
10.571
501.471
400.548
−1.811
501.471


401.012
16.050
501.471
409.236
6.751
501.471


389.666
0.628
501.471
387.988
16.400
501.471


381.090
10.539
501.471
404.981
−5.380
501.471


386.992
15.844
501.471
412.682
−0.442
501.471


415.794
−9.013
501.471
420.001
−23.223
501.471


414.696
−5.774
501.471
415.245
−18.998
501.471


408.808
−9.600
501.471
418.021
−23.976
501.471


412.242
0.610
501.471
416.385
−20.973
501.471


417.505
−14.451
501.471
415.820
−19.983
501.471


412.195
−14.183
501.471
417.485
−22.970
501.471


405.788
−6.185
501.471
419.405
−21.022
501.471


411.318
2.694
501.471
420.290
−24.326
501.471


417.173
−13.360
501.471
419.101
−19.923
501.471


415.435
−7.931
501.471
414.061
−17.049
501.471


409.516
−10.493
501.471
419.705
−22.122
501.471


410.829
3.724
501.471
419.077
−25.997
501.471


418.157
−16.636
501.471
420.060
−26.349
501.471


412.830
−15.130
501.471
383.582
13.908
508.892


413.521
−2.562
501.471
382.821
13.029
508.892


411.788
1.656
501.471
380.814
10.180
508.892


406.574
−7.011
501.471
397.966
0.438
508.892


417.833
−15.543
501.471
408.872
6.598
508.892


416.147
−10.097
501.471
400.152
17.307
508.892


410.209
−11.399
501.471
387.074
16.963
508.892


410.320
4.745
501.471
378.571
4.842
508.892


413.451
−16.086
501.471
402.762
−2.810
508.892


414.314
−4.700
501.471
405.848
11.558
508.892


413.108
−1.499
501.471
394.731
19.230
508.892


407.338
−7.857
501.471
379.870
−0.366
508.892


418.476
−17.730
501.471
393.488
1.593
508.892


416.836
−12.271
501.471
403.661
14.272
508.892


410.885
−12.317
501.471
390.164
18.564
508.892


409.790
5.754
501.471
380.242
9.168
508.892


404.150
−4.600
501.471
384.418
−0.178
508.892


415.069
−6.851
501.471
399.005
−0.085
508.892


413.923
−3.629
501.471
385.238
15.539
508.892


408.082
−8.721
501.471
408.317
7.619
508.892


416.494
−11.183
501.471
399.152
17.899
508.892


411.547
−13.245
501.471
378.370
3.697
508.892


418.791
−18.826
501.471
388.878
1.140
508.892


381.789
−0.626
501.471
405.155
12.492
508.892


380.650
−0.603
501.471
393.569
19.250
508.892


379.539
−0.361
501.471
380.986
−0.670
508.892


378.564
0.215
501.471
394.642
1.460
508.892


377.930
1.150
501.471
402.853
15.109
508.892


382.924
−0.522
501.471
389.091
18.116
508.892


377.693
2.261
501.471
379.724
8.127
508.892


414.658
−18.020
501.471
385.531
0.158
508.892


416.940
−21.969
501.471
400.003
−0.682
508.892


418.548
−24.987
501.471
386.133
16.281
508.892


420.570
−25.431
501.471
407.740
8.629
508.892


398.104
18.401
508.892
403.611
−3.603
508.892


378.312
2.537
508.892
413.328
−16.611
508.892


390.015
1.382
508.892
417.933
−17.285
508.892


384.387
14.747
508.892
412.69
−31.878
508.892


392.412
19.141
508.892
407.46
−47.951
508.892


382.147
−0.661
508.892
416.214
−21.657
508.892


395.779
1.219
508.892
420.127
−25.122
508.892


402.001
15.900
508.892
416.192
−11.739
508.892


388.061
17.579
508.892
410.420
3.472
508.892


379.266
7.059
508.892
410.848
−12.677
508.892


386.641
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404.553
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413.294
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538.576


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417.749
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417.761
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385.836
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410.078
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538.576


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414.733
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418.973
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395.673
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415.136
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538.576


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538.576


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416.441
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415.081
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538.576


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411.357
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415.398
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415.085
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416.531
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411.135
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411.475
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413.008
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408.850
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418.991
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418.028
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417.842
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415.535
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408.312
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560.839


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415.045
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419.264
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560.839


413.012
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411.909
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560.839


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419.518
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407.987
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407.741
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418.005
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415.935
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414.473
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385.398
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385.947
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395.768
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413.924
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409.125
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−10.476
568.260


407.003
−5.930
568.260
415.506
−12.481
568.260


413.876
−18.693
568.260
410.742
1.206
568.260


417.305
−25.079
568.260
415.346
−21.430
568.260


416.995
−17.440
568.260
404.946
−2.336
568.260


412.573
−3.637
568.260
411.923
−15.041
568.260









As an example, the profile sections of the first stage bucket airfoils 18 at each of the near root, near pitch and near tip distances R are illustrated in FIG. 3.


The coordinate values given in Table III below provide the preferred nominal profile shape excluding fillet regions for the second stage nozzle airfoils 20.









TABLE III







Stage 2 Nozzle Airfoil









X
Y
R












18.248
27.890
494.350


14.572
22.815
494.350


19.133
29.183
494.350


15.512
24.068
494.350


20.005
30.485
494.350


16.438
25.332
494.350


17.350
26.607
494.350


21.711
33.113
494.350


25.942
34.060
494.350


28.655
42.470
494.350


25.768
39.814
494.350


23.313
26.680
494.350


27.922
40.006
494.350


22.545
34.439
494.350


25.430
32.579
494.350


28.609
42.826
494.350


26.538
41.178
494.350


22.769
25.211
494.350


27.439
38.515
494.350


23.368
35.773
494.350


24.911
31.100
494.350


28.375
43.097
494.350


22.220
23.743
494.350


26.945
37.028
494.350


24.180
37.113
494.350


24.385
29.624
494.350


28.033
43.192
494.350


20.864
31.795
494.350


26.446
35.543
494.350


24.980
38.460
494.350


23.852
28.151
494.350


27.702
43.103
494.350


28.369
41.507
494.350


−18.628
−2.056
494.350


−17.144
−1.553
494.350


−8.417
1.916
494.350


−1.758
6.026
494.350


−14.179
−0.538
494.350


−7.033
2.649
494.350


−0.506
6.968
494.350


−12.712
0.011
494.350


−5.674
3.429
494.350


0.718
7.946
494.350


−11.260
0.600
494.350


−4.342
4.254
494.350


−9.827
1.233
494.350


−3.036
5.120
494.350


−15.659
−1.054
494.350


−27.296
−8.215
494.350


−26.634
−15.701
494.350


−21.556
−3.169
494.350


−22.116
−19.953
494.350


−27.786
−9.701
494.350


−26.526
−6.854
494.350


−27.344
−14.306
494.350


−20.102
−2.586
494.350


−23.427
−19.097
494.350


−25.508
−5.665
494.350


−27.804
−12.811
494.350


−17.763
−21.683
494.350


−24.637
−18.103
494.350


−24.303
−4.667
494.350


−27.960
−11.255
494.350


−19.267
−21.246
494.350


−25.718
−16.970
494.350


−22.968
−3.848
494.350


−20.723
−20.670
494.350


−6.984
−20.936
494.350


−14.667
−22.140
494.350


−1.499
−17.944
494.350


−8.471
−21.428
494.350


−16.225
−21.981
494.350


−2.793
−18.826
494.350


−9.992
−21.801
494.350


−4.140
−19.626
494.350


−11.539
−22.048
494.350


0.930
−15.966
494.350


−5.538
−20.333
494.350


−13.101
−22.162
494.350


−0.258
−16.988
494.350


8.596
15.562
494.350


4.235
11.063
494.350


9.635
16.734
494.350


5.358
12.155
494.350


10.657
17.922
494.350


6.458
13.271
494.350


1.916
8.956
494.350


7.537
14.407
494.350


3.088
9.996
494.350


18.248
13.520
494.350


13.617
21.573
494.350


15.202
6.303
494.350


20.547
19.351
494.350


17.657
12.069
494.350


14.560
4.874
494.350


19.981
17.890
494.350


17.058
10.622
494.350


19.410
16.431
494.350


11.660
19.125
494.350


16.450
9.178
494.350


21.666
22.278
494.350


18.832
14.974
494.350


12.647
20.342
494.350


15.832
7.738
494.350


21.109
20.813
494.350


8.753
−6.224
494.350


4.186
−12.581
494.350


7.911
−7.546
494.350


3.150
−13.756
494.350


11.098
−2.152
494.350


7.036
−8.846
494.350


2.065
−14.887
494.350


10.344
−3.525
494.350


6.126
−10.121
494.350


9.563
−4.883
494.350


5.177
−11.367
494.350


11.829
−0.766
494.350


13.902
3.452
494.350


13.229
2.037
494.350


12.538
0.631
494.350


29.098
43.055
501.440


29.063
43.422
501.440


28.824
43.703
501.440


28.475
43.801
501.440


28.005
43.581
501.440


14.895
22.842
501.440


19.519
29.429
501.440


15.849
24.138
501.440


16.787
25.446
501.440


12.940
20.283
501.440


17.712
26.764
501.440


13.926
21.556
501.440


18.622
28.092
501.440


27.018
41.820
501.440


23.091
25.177
501.440


27.826
38.868
501.440


23.806
36.239
501.440


25.263
31.239
501.440


22.535
23.666
501.440


20.402
30.775
501.440


27.326
37.338
501.440


24.628
37.624
501.440


24.729
29.720
501.440


21.974
22.157
501.440


21.271
32.129
501.440


26.821
35.810
501.440


25.439
39.014
501.440


24.189
28.204
501.440


28.772
41.945
501.440


21.410
20.650
501.440


22.129
33.492
501.440


26.309
34.284
501.440


26.237
40.412
501.440


23.642
26.689
501.440


28.315
40.402
501.440


22.973
34.862
501.440


25.790
32.760
501.440


−20.751
−3.025
501.440


−19.219
−2.529
501.440


−17.680
−2.058
501.440


−23.734
−4.228
501.440


−22.263
−3.576
501.440


−0.492
6.467
501.440


−13.088
−0.567
501.440


−5.812
2.848
501.440


−11.585
0.010
501.440


−4.438
3.687
501.440


−10.102
0.637
501.440


−3.093
4.572
501.440


−16.141
−1.588
501.440


−8.645
1.320
501.440


−1.778
5.499
501.440


−14.608
−1.097
501.440


−7.214
2.058
501.440


−16.887
−22.961
501.440


−24.217
−19.813
501.440


−26.384
−6.036
501.440


−28.746
−13.358
501.440


−18.457
−22.605
501.440


−28.750
−10.166
501.440


−25.450
−18.780
501.440


−25.127
−5.033
501.440


−28.927
−11.762
501.440


−19.989
−22.112
501.440


−26.557
−17.612
501.440


−21.469
−21.481
501.440


−28.238
−8.642
501.440


−27.503
−16.311
501.440


−22.883
−20.714
501.440


−27.441
−7.246
501.440


−28.250
−14.887
501.440


−3.020
−20.099
501.440


−10.481
−22.983
501.440


−4.418
−20.897
501.440


−12.077
−23.188
501.440


−5.868
−21.595
501.440


−13.685
−23.252
501.440


−0.392
−18.243
501.440


−7.367
−22.180
501.440


−15.293
−23.176
501.440


−1.678
−19.211
501.440


−8.908
−22.645
501.440


5.516
11.816
501.440


10.917
17.779
501.440


0.765
7.473
501.440


6.639
12.969
501.440


1.994
8.513
501.440


7.740
14.143
501.440


3.194
9.585
501.440


8.819
15.338
501.440


4.368
10.687
501.440


9.878
16.550
501.440


14.785
4.232
501.440


20.270
17.639
501.440


17.314
10.153
501.440


14.119
2.766
501.440


19.692
16.137
501.440


11.938
19.024
501.440


16.699
8.665
501.440


19.108
14.636
501.440


16.074
7.182
501.440


18.517
13.139
501.440


15.436
5.704
501.440


20.843
19.143
501.440


17.920
11.644
501.440


3.128
−14.943
501.440


7.123
−9.901
501.440


2.009
−16.100
501.440


10.502
−4.422
501.440


6.190
−11.212
501.440


0.836
−17.203
501.440


9.706
−5.821
501.440


5.215
−12.493
501.440


8.879
−7.202
501.440


4.196
−13.739
501.440


8.019
−8.563
501.440


11.270
−3.008
501.440


13.436
−1.309
501.440


12.734
−0.140
501.440


12.014
−1.580
501.440


29.514
44.020
508.530


29.155
42.295
508.530


29.271
44.312
508.530


26.749
41.089
508.530


28.913
44.411
508.530


27.539
42.542
508.530


28.566
44.295
508.530


29.554
43.835
508.530


12.321
18.939
508.530


17.222
25.597
508.530


13.336
20.244
508.530


18.155
26.963
508.530


14.333
21.564
508.530


19.072
28.339
508.530


15.312
22.897
508.530


16.275
24.242
508.530


20.865
31.119
508.530


27.693
37.554
508.530


25.124
38.207
508.530


25.067
29.712
508.530


22.277
21.927
508.530


21.742
32.522
508.530


27.183
35.980
508.530


25.942
39.645
508.530


24.520
28.151
508.530


21.704
20.376
508.530


22.605
33.933
508.530


26.665
34.409
508.530


23.967
26.592
508.530


28.688
40.708
508.530


21.128
18.825
508.530


23.456
35.351
508.530


26.140
32.841
508.530


23.408
25.036
508.530


19.976
29.725
508.530


28.195
39.129
508.530


24.295
36.776
508.530


25.607
31.275
508.530


22.845
23.481
508.530


−25.803
−5.505
508.530


−18.043
−2.719
508.530


−24.333
−4.750
508.530


−22.794
−4.145
508.530


−21.221
−3.633
508.530


−19.634
−3.168
508.530


−11.755
−0.672
508.530


−4.399
3.079
508.530


−10.228
−0.037
508.530


−3.017
3.988
508.530


−16.453
−2.263
508.530


−8.726
0.657
508.530


−1.667
4.943
508.530


−14.871
−1.780
508.530


−7.254
1.410
508.530


−0.348
5.941
508.530


−13.304
−1.251
508.530


−5.811
2.219
508.530


−26.384
−19.500
508.530


−29.906
−12.263
508.530


−20.838
−23.036
508.530


−27.508
−18.289
508.530


−22.342
−22.349
508.530


−29.147
−9.070
508.530


−28.470
−16.945
508.530


−23.778
−21.529
508.530


−28.287
−7.661
508.530


−29.231
−15.478
508.530


−17.678
−23.999
508.530


−25.131
−20.579
508.530


−27.146
−6.468
508.530


−29.702
−10.626
508.530


−29.733
−13.904
508.530


−19.279
−23.587
508.530


−4.817
−22.252
508.530


−12.746
−24.387
508.530


−6.323
−22.936
508.530


−14.399
−24.401
508.530


−0.640
−19.590
508.530


−7.878
−23.498
508.530


−16.047
−24.271
508.530


−1.973
−20.568
508.530


−9.474
−23.931
508.530


−3.366
−21.459
508.530


−11.100
−24.229
508.530


6.939
12.663
508.530


2.198
8.053
508.530


8.060
13.880
508.530


3.425
9.161
508.530


9.157
15.117
508.530


4.624
10.301
508.530


10.232
16.374
508.530


5.795
11.469
508.530


0.940
6.978
508.530


19.958
15.731
508.530


16.910
8.044
508.530


13.580
0.475
508.530


19.364
14.188
508.530


16.273
6.518
508.530


18.763
12.647
508.530


15.622
4.997
508.530


18.154
11.109
508.530


14.958
3.483
508.530


20.546
17.277
508.530


11.286
17.648
508.530


17.537
9.574
508.530


14.277
1.975
508.530


10.580
−5.420
508.530


6.156
−12.400
508.530


0.632
−18.533
508.530


9.764
−6.859
508.530


5.153
−13.715
508.530


8.917
−8.279
508.530


4.103
−14.993
508.530


8.035
−9.678
508.530


3.001
−16.226
508.530


7.116
−11.053
508.530


1.845
−17.409
508.530


12.863
−1.015
508.530


12.126
−2.496
508.530


11.366
−3.965
508.530


26.453
40.292
515.620


29.535
42.623
515.620


29.964
44.620
515.620


27.266
41.784
515.620


29.062
40.992
515.620


29.716
44.922
515.620


28.066
43.283
515.620


28.567
39.367
515.620


29.348
45.019
515.620


28.997
44.893
515.620


25.629
38.807
515.620


29.985
44.231
515.620


13.767
20.196
515.620


18.622
27.164
515.620


14.773
21.565
515.620


15.760
22.947
515.620


11.695
17.503
515.620


16.731
24.342
515.620


12.741
18.842
515.620


17.684
25.748
515.620


24.860
28.068
515.620


22.004
20.068
515.620


23.095
34.385
515.620


27.028
34.508
515.620


24.300
26.464
515.620


19.545
28.591
515.620


21.417
18.474
515.620


23.950
35.853
515.620


26.497
32.894
515.620


23.734
24.862
515.620


20.453
30.027
515.620


20.824
16.882
515.620


24.794
37.327
515.620


25.959
31.283
515.620


23.163
23.262
515.620


21.346
31.471
515.620


28.063
37.745
515.620


25.413
29.674
515.620


22.586
21.664
515.620


22.227
32.924
515.620


27.549
36.125
515.620


−24.852
−5.398
515.620


−23.245
−4.849
515.620


−29.095
−8.127
515.620


−21.614
−4.375
515.620


−27.848
−6.978
515.620


−19.973
−3.933
515.620


−26.406
−6.084
515.620


−18.332
−3.495
515.620


−2.894
3.373
515.620


−16.695
−3.041
515.620


−8.755
−0.055
515.620


−1.510
4.357
515.620


−15.068
−2.552
515.620


−7.243
0.719
515.620


−0.158
5.386
515.620


−13.457
−2.013
515.620


−5.761
1.551
515.620


−11.865
−1.420
515.620


−4.312
2.437
515.620


−10.296
−0.768
515.620


−23.277
−23.267
515.620


−30.039
−9.534
515.620


−29.493
−17.624
515.620


−24.736
−22.397
515.620


−30.255
−16.107
515.620


−18.527
−25.072
515.620


−26.111
−21.400
515.620


−30.746
−14.483
515.620


−20.160
−24.608
515.620


−27.382
−20.274
515.620


−30.892
−12.794
515.620


−21.748
−24.005
515.620


−30.648
−11.117
515.620


−28.522
−19.016
515.620


−15.171
−25.576
515.620


−0.946
−20.959
515.620


−8.449
−24.834
515.620


−16.859
−25.396
515.620


−2.327
−21.947
515.620


−10.100
−25.235
515.620


−3.772
−22.840
515.620


−11.778
−25.494
515.620


−5.277
−23.627
515.620


−13.473
−25.609
515.620


−6.838
−24.296
515.620


3.701
8.714
515.620


9.536
14.880
515.620


4.924
9.892
515.620


6.118
11.101
515.620


1.161
6.457
515.620


7.283
12.337
515.620


2.447
7.567
515.620


8.422
13.597
515.620


16.454
5.823
515.620


12.958
1.918
515.620


19.003
12.122
515.620


15.787
4.260
515.620


10.627
16.182
515.620


18.381
10.541
515.620


15.106
2.704
515.620


17.749
8.964
515.620


14.408
1.155
515.620


20.224
15.293
515.620


17.107
7.391
515.620


13.693
−0.386
515.620


19.618
13.706
515.620


5.039
−14.961
515.620


8.909
−9.381
515.620


3.957
−16.271
515.620


8.003
−10.818
515.620


2.820
−17.533
515.620


7.058
−12.229
515.620


1.626
−18.742
515.620


6.071
−13.612
515.620


0.372
−19.887
515.620


9.779
−7.922
515.620


12.203
−3.439
515.620


11.423
−4.948
515.620


10.616
−6.443
515.620


26.453
40.292
515.620


29.535
42.623
515.620


29.964
44.620
515.620


27.266
41.784
515.620


29.062
40.992
515.620


29.716
44.922
515.620


28.066
43.283
515.620


28.567
39.367
515.620


29.348
45.019
515.620


28.997
44.893
515.620


25.629
38.807
515.620


29.985
44.231
515.620


13.767
20.196
515.620


18.622
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18.742
536.890


25.109
25.631
536.890


21.248
29.964
536.890


22.062
17.026
536.890


27.403
32.565
536.890


24.515
23.905
536.890


22.166
31.542
536.890


21.429
15.314
536.890


26.843
30.827
536.890


−20.306
−5.875
536.890


−33.653
−13.816
536.890


−27.337
−7.845
536.890


−18.544
−5.400
536.890


−33.042
−12.101
536.890


−25.598
−7.287
536.890


−32.006
−10.605
536.890


−23.840
−6.798
536.890


−30.617
−9.427
536.890


−22.073
−6.335
536.890


−29.028
−8.531
536.890


−11.626
−3.072
536.890


−3.557
1.168
536.890


−9.950
−2.348
536.890


−2.048
2.195
536.890


−16.790
−4.893
536.890


−8.303
−1.562
536.890


−15.050
−4.340
536.890


−6.686
−0.713
536.890


−13.328
−3.734
536.890


−5.104
0.197
536.890


−23.397
−27.196
536.890


−30.915
−22.151
536.890


−25.064
−26.452
536.890


−32.053
−20.725
536.890


−26.665
−25.576
536.890


−32.970
−19.149
536.890


−19.915
−28.283
536.890


−28.188
−24.569
536.890


−33.592
−17.435
536.890


−21.677
−27.807
536.890


−29.613
−23.430
536.890


−33.831
−15.629
536.890


−7.349
−27.451
536.890


−16.306
−28.810
536.890


−9.080
−28.029
536.890


−18.121
−28.620
536.890


−2.512
−24.908
536.890


−10.855
−28.456
536.890


−4.058
−25.877
536.890


−12.660
−28.729
536.890


−5.673
−26.729
536.890


−14.481
−28.848
536.890


2.250
5.586
536.890


3.607
6.807
536.890


4.927
8.068
536.890


−0.577
3.276
536.890


6.212
9.366
536.890


0.856
4.408
536.890


14.485
−1.567
536.890


17.424
5.119
536.890


13.704
−3.217
536.890


16.714
3.437
536.890


12.902
−4.857
536.890


19.474
10.198
536.890


15.988
1.761
536.890


12.075
−6.484
536.890


18.802
8.500
536.890


15.246
0.093
536.890


11.219
−8.098
536.890


18.119
6.807
536.890


0.368
−22.667
536.890


5.319
−17.313
536.890


−1.036
−23.834
536.890


4.173
−18.734
536.890


8.454
−12.824
536.890


2.969
−20.106
536.890


7.454
−14.352
536.890


1.702
−21.421
536.890


6.411
−15.850
536.890


10.333
−9.694
536.890


9.412
−11.270
536.890


24.039
34.476
543.980


29.100
37.010
543.980


31.517
47.357
543.980


28.391
42.723
543.980


31.145
44.184
543.980


24.931
36.114
543.980


28.557
35.226
543.980


31.110
47.447
543.980


29.235
44.386
543.980


30.655
42.385
543.980


25.811
37.758
543.980


28.002
33.445
543.980


30.735
47.275
543.980


30.076
46.050
543.980


22.216
31.222
543.980


30.151
40.589
543.980


31.803
46.813
543.980


26.680
39.408
543.980


27.438
31.668
543.980


23.135
32.845
543.980


29.632
38.797
543.980


31.776
47.023
543.980


27.540
41.063
543.980


15.296
20.156
543.980


10.837
14.177
543.980


16.346
21.697
543.980


5.891
8.596
543.980


11.994
15.640
543.980


17.373
23.254
543.980


7.178
9.946
543.980


13.122
17.125
543.980


8.431
11.328
543.980


14.222
18.631
543.980


9.650
12.739
543.980


20.647
12.312
543.980


26.281
28.121
543.980


20.333
28.002
543.980


23.237
19.307
543.980


19.975
10.572
543.980


25.689
26.353
543.980


21.282
29.607
543.980


22.604
17.553
543.980


19.292
8.836
543.980


25.088
24.587
543.980


21.961
15.803
543.980


18.379
24.825
543.980


24.479
22.825
543.980


21.309
14.055
543.980


26.864
29.893
543.980


19.365
26.408
543.980


23.862
21.065
543.980


−26.763
−8.206
543.980


−34.715
−15.191
543.980


−33.167
−11.848
543.980


−24.979
−7.661
543.980


−31.799
−10.586
543.980


−23.183
−7.158
543.980


−30.217
−9.603
543.980


−21.383
−6.670
543.980


−28.519
−8.833
543.980


−19.584
−6.178
543.980


−34.169
−13.414
543.980


−2.631
1.372
543.980


−17.792
−5.663
543.980


−9.082
−2.361
543.980


−16.011
−5.108
543.980


−7.416
−1.522
543.980


−14.246
−4.507
543.980


−5.784
−0.619
543.980


−12.500
−3.852
543.980


−4.189
0.346
543.980


−10.777
−3.138
543.980


−32.700
−22.147
543.980


−26.957
−26.828
543.980


−33.726
−20.592
543.980


−19.965
−29.345
543.980


−28.556
−25.869
543.980


−34.458
−18.880
543.980


−21.780
−28.916
543.980


−30.066
−24.775
543.980


−34.799
−17.050
543.980


−23.557
−28.353
543.980


−31.461
−23.539
543.980


−25.287
−27.657
543.980


−8.904
−28.792
543.980


−18.123
−29.633
543.980


−2.260
−25.466
543.980


−10.706
−29.271
543.980


−3.822
−26.485
543.980


−12.542
−29.595
543.980


−5.453
−27.388
543.980


−14.399
−29.764
543.980


−7.150
−28.162
543.980


−16.264
−29.775
543.980


4.567
7.283
543.980


−1.112
2.454
543.980


0.367
3.590
543.980


1.806
4.776
543.980


3.206
6.008
543.980


17.170
3.660
543.980


13.299
−4.823
543.980


16.433
1.946
543.980


12.461
−6.489
543.980


15.678
0.241
543.980


11.595
−8.141
543.980


18.598
7.105
543.980


14.906
−1.457
543.980


10.698
−9.776
543.980


17.891
5.380
543.980


14.113
−3.145
543.980


4.478
−19.061
543.980


8.798
−12.985
543.980


3.264
−20.477
543.980


7.788
−14.553
543.980


1.987
−21.836
543.980


6.734
−16.092
543.980


0.643
−23.129
543.980


5.633
−17.597
543.980


−0.772
−24.343
543.980


9.767
−11.392
543.980









As an example, the profile sections of the second stage nozzle airfoils 20 at each of the near root, near pitch and near tip distances R are illustrated in FIG. 4.


The coordinate values given in Table IV below provide the preferred nominal profile shape excluding the fillet region for the second stage bucket airfoils 22.









TABLE IV







Stage 2 Bucket Airfoil









X
Y
R












534.521
7.749
498.825


535.028
8.634
498.825


535.635
9.456
498.825


536.310
10.221
498.825


537.040
10.935
498.825


537.815
11.600
498.825


538.629
12.216
498.825


539.479
12.782
498.825


544.153
14.786
498.825


545.151
15.001
498.825


546.161
15.148
498.825


547.179
15.225
498.825


548.200
15.232
498.825


549.219
15.170
498.825


550.232
15.039
498.825


551.234
14.843
498.825


552.221
14.585
498.825


553.192
14.267
498.825


554.142
13.895
498.825


555.071
13.471
498.825


555.977
13.000
498.825


556.859
12.486
498.825


557.717
11.932
498.825


558.551
11.342
498.825


559.360
10.719
498.825


560.145
10.066
498.825


560.907
9.386
498.825


561.646
8.681
498.825


562.362
7.954
498.825


563.058
7.206
498.825


563.733
6.440
498.825


564.388
5.657
498.825


565.025
4.859
498.825


565.644
4.046
498.825


566.245
3.221
498.825


566.831
2.385
498.825


567.401
1.538
498.825


567.957
0.681
498.825


568.499
−0.185
498.825


569.027
−1.058
498.825


569.543
−1.940
498.825


570.048
−2.827
498.825


570.542
−3.721
498.825


571.025
−4.621
498.825


571.499
−5.525
498.825


571.964
−6.434
498.825


572.421
−7.347
498.825


572.871
−8.264
498.825


573.313
−9.185
498.825


573.750
−10.108
498.825


574.180
−11.034
498.825


574.605
−11.962
498.825


575.026
−12.893
498.825


575.442
−13.825
498.825


559.701
−2.634
498.825


558.827
−2.106
498.825


557.939
−1.602
498.825


557.038
−1.121
498.825


556.124
−0.666
498.825


555.198
−0.236
498.825


554.260
0.168
498.825


553.310
0.544
498.825


552.351
0.892
498.825


551.381
1.213
498.825


550.403
1.505
498.825


549.417
1.770
498.825


548.423
2.007
498.825


547.424
2.218
498.825


546.420
2.404
498.825


545.412
2.566
498.825


544.401
2.708
498.825


543.387
2.833
498.825


542.372
2.945
498.825


541.356
3.048
498.825


540.340
3.152
498.825


539.325
3.264
498.825


538.313
3.399
498.825


537.308
3.577
498.825


536.321
3.836
498.825


535.383
4.237
498.825


534.592
4.874
498.825


534.139
5.777
498.825


534.176
6.790
498.825


540.361
13.296
498.825


541.272
13.757
498.825


542.210
14.161
498.825


543.171
14.505
498.825


577.1.74
−20.960
498.825


576.615
−20.106
498.825


576.046
−19.258
498.825


575.469
−18.415
498.825


574.882
−17.580
498.825


574.284
−16.752
498.825


573.675
−15.932
498.825


573.056
−15.121
498.825


572.425
−14.317
498.825


571.783
−13.523
498.825


571.129
−12.739
498.825


570.463
−11.965
498.825


569.784
−11.202
498.825


569.092
−10.452
498.825


568.386
−9.713
498.825


567.667
−8.988
498.825


566.935
−8.277
498.825


566.188
−7.581
498.825


565.427
−6.900
498.825


564.652
−6.235
498.825


563.862
−5.587
498.825


563.058
−4.957
498.825


562.240
−4.346
498.825


561.408
−3.755
498.825


560.562
−3.183
498.825


575.854
−14.760
498.825


576.262
−15.696
498.825


576.667
−16.633
498.825


577.068
−17.572
498.825


577.465
−18.513
498.825


577.857
−19.456
498.825


578.245
−20.401
498.825


578.028
−21.288
498.825


535.115
9.162
508.157


535.586
10.053
508.157


536.168
10.876
508.157


536.824
11.642
508.157


537.538
12.354
508.157


538.301
13.014
508.157


539.106
13.622
508.157


539.948
14.176
508.157


540.825
14.674
508.157


559.943
−1.951
508.157


559.124
−1.363
508.157


558.291
−0.794
508.157


557.444
−0.246
508.157


556.583
0.280
508.157


555.708
0.782
508.157


554.820
1.259
508.157


553.917
1.709
508.157


553.001
2.132
508.157


552.072
2.525
508.157


551.131
2.889
508.157


550.179
3.222
508.157


549.216
3.523
508.157


548.245
3.794
508.157


547.265
4.034
508.157


546.278
4.244
508.157


545.286
4.426
508.157


544.290
4.582
508.157


543.290
4.717
508.157


542.288
4.834
508.157


541.285
4.941
508.157


540.281
5.045
508.157


539.279
5.159
508.157


538.281
5.303
508.157


537.294
5.510
508.157


534.929
7.204
508.157


534.832
8.196
508.157


541.733
15.113
508.157


542.669
15.489
508.157


543.629
15.798
508.157


544.609
16.037
508.157


545.604
16.202
508.157


546.609
16.291
508.157


547.617
16.305
508.157


548.624
16.242
508.157


549.623
16.105
508.157


550.610
15.896
508.157


551.580
15.621
508.157


552.530
15.283
508.157


553.458
14.888
508.157


554.362
14.441
508.157


555.241
13.946
508.157


556.095
13.408
508.157


556.923
12.833
508.157


557.726
12.222
508.157


558.505
11.582
508.157


559.261
10.914
508.157


559.994
10.221
508.157


560.706
9.506
508.157


561.397
8.771
508.157


562.069
8.019
508.157


562.722
7.250
508.157


563.358
6.467
508.157


563.977
5.670
508.157


564.581
4.862
508.157


565.170
4.043
508.157


565.745
3.214
508.157


576.722
−20.611
508.157


576.161
−19.773
508.157


575.593
−18.939
508.157


575.018
−18.110
508.157


574.435
−17.287
508.157


573.843
−16.471
508.157


573.242
−15.660
508.157


572.633
−14.856
508.157


572.016
−14.058
508.157


571.389
−13.267
508.157


570.754
−12.484
508.157


570.109
−11.708
508.157


569.455
−10.940
508.157


568.790
−10.181
508.157


568.116
−9.431
508.157


567.431
−8.691
508.157


566.735
−7.960
508.157


566.028
−7.240
508.157


565.310
−6.532
508.157


564.581
−5.835
508.157


563.839
−5.151
508.157


563.086
−4.481
508.157


562.320
−3.824
508.157


561.541
−3.183
508.157


560.749
−2.559
508.157


566.307
2.377
508.157


566.857
1.531
508.157


567.395
−0.678
508.157


567.922
−0.183
508.157


568.438
−1.049
508.157


568.946
−1.921
508.157


569.444
−2.798
508.157


569.933
−3.680
508.157


570.415
−4.566
508.157


570.889
−5.457
508.157


571.357
−6.351
508.157


571.818
−7.248
508.157


572.273
−8.148
508.157


572.723
−9.051
508.157


573.168
−9.956
508.157


573.608
−10.864
508.157


574.044
−11.774
508.157


574.476
−12.685
508.157


574.904
−13.599
508.157


575.329
−14.514
508.157


575.750
−15.430
508.157


576.167
−16.349
508.157


576.580
−17.269
508.157


576.988
−18.192
508.157


577.390
−19.117
508.157


577.785
−20.045
508.157


577.571
−20.922
508.157


536.340
5.836
508.157


535.495
6.379
508.157


541.285
15.567
517.489


540.408
15.105
517.489


539.566
14.582
517.489


538.764
13.999
517.489


538.007
13.359
517.489


537.303
12.662
517.489


536.662
11.906
517.489


536.109
11.084
517.489


535.691
10.186
517.489


565.329
3.094
517.489


564.775
3.916
517.489


564.210
4.731
517.489


563.632
5.536
517.489


563.040
6.332
517.489


562.435
7.117
517.489


561.814
7.890
517.489


561.176
8.649
517.489


560.521
9.393
517.489


559.848
10.121
517.489


559.155
10.830
517.489


558.441
11.518
517.489


557.706
12.183
517.489


556.947
12.821
517.489


556.164
13.429
517.489


555.356
14.003
517.489


554.522
14.540
517.489


553.663
15.034
517.489


552.777
15.480
517.489


551.867
15.873
517.489


550.934
16.207
517.489


549.980
16.477
517.489


549.010
16.679
517.489


548.027
16.807
517.489


547.037
16.859
517.489


546.046
16.834
517.489


545.060
16.730
517.489


544.086
16.549
517.489


543.129
16.292
517.489


542.193
15.964
517.489


535.532
9.214
517.489


535.856
8.290
517.489


536.559
7.601
517.489


537.453
7.178
517.489


538.411
6.925
517.489


539.388
6.758
517.489


540.371
6.631
517.489


541.356
6.518
517.489


542.341
6.403
517.489


543.324
6.276
517.489


544.305
6.129
517.489


545.281
5.957
517.489


546.252
5.756
517.489


547.216
5.525
517.489


548.171
5.260
517.489


549.117
4.961
517.489


550.051
4.629
517.489


550.973
4.265
517.489


551.882
3.868
517.489


552.776
3.441
517.489


553.657
2.985
517.489


554.522
2.501
517.489


555.372
1.992
517.489


556.208
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560.544
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561.139
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562.313
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562.891
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563.465
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564.035
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564.601
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565.164
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565.723
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566.280
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566.835
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568.490
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569.588
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572.323
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572.868
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573.411
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573.951
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554.817


575.289
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562.623
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559.996
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559.438
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557.072
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555.794
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549.880
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549.045
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544.663
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542.916
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542.076
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548.613
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549.395
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550.160
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550.908
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552.354
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564.149


553.053
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564.149


553.738
6.127
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554.408
5.543
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555.066
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555.711
4.333
564.149


556.345
3.709
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556.968
3.075
564.149


557.582
2.431
564.149


558.186
1.779
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558.783
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564.149


559.372
0.454
564.149


571.524
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564.149


571.118
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564.149


570.708
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564.149


570.295
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564.149


569.879
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564.149


569.459
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564.149


569.037
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564.149


568.610
−5.264
564.149


568.180
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564.149


567.745
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564.149


567.307
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564.149


566.863
−2.166
564.149


566.415
−1.398
564.149


565.962
−0.633
564.149


565.504
0.129
564.149


565.040
0.888
564.149


564.570
1.643
564.149


564.094
2.394
564.149


563.611
3.141
564.149


563.121
3.883
564.149


559.954
−0.218
564.149


560.530
−0.896
564.149


561.100
−1.578
564.149


540.532
16.053
564.149


539.878
15.452
564.149


539.377
14.721
564.149


539.198
13.861
564.149


539.525
13.048
564.149


540.222
12.505
564.149


541.043
12.169
564.149


541.897
11.921
564.149


542.760
11.704
564.149


543.622
11.488
564.149


544.480
11.255
564.149


545.331
10.997
564.149


546.172
10.708
564.149


547.001
10.385
564.149


547.815
10.027
564.149


575.048
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564.149


574.672
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564.149


574.289
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564.149


573.902
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564.149


573.513
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564.149


573.121
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564.149


572.726
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564.149


572.328
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564.149


571.928
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564.149


561.665
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562.226
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562.782
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563.334
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563.883
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564.430
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564.973
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565.514
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564.149


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567.126
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567.661
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568.196
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573.516
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574.833
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562.510
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562.018
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561.518
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561.009
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573.481


560.491
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559.962
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573.481


559.422
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573.481


558.870
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573.481


558.306
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573.481


557.729
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573.481


557.137
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556.530
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573.481


555.906
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573.481


555.266
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573.481


554.607
13.754
573.481


553.929
14.300
573.481


553.231
14.820
573.481


552.513
15.311
573.481


551.773
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573.481


551.012
16.191
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550.229
16.572
573.481


549.426
16.906
573.481


548.602
17.188
573.481


547.762
17.413
573.481


546.907
17.575
573.481


546.042
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573.481


545.172
17.688
573.481


544.304
17.627
573.481


543.447
17.480
573.481


542.610
17.242
573.481


541.809
16.904
573.481


541.065
16.454
573.481


540.421
15.871
573.481


539.982
15.126
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539.971
14.269
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540.466
13.570
573.481


541.222
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542.043
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542.880
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573.481


543.718
12.385
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544.553
12.139
573.481


545.380
11.866
573.481


546.195
11.562
573.481


546.997
11.225
573.481


547.784
10.853
573.481


548.555
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573.481


549.308
10.013
573.481


550.044
9.549
573.481


550.763
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573.481


551.465
8.544
573.481


552.151
8.008
573.481


552.822
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553.479
6.883
573.481


554.122
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573.481


554.753
5.697
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555.372
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573.481


555.981
4.463
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556.580
3.832
573.481


557.169
3.192
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557.751
2.544
573.481


558.325
1.890
573.481


558.892
1.230
573.481


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573.481


574.230
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573.481


573.855
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573.481


573.478
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573.100
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571.948
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573.481


571.166
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570.771
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570.373
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569.566
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568.747
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567.913
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567.491
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565.756
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565.310
0.124
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564.859
0.868
573.481


564.402
1.609
573.481


563.939
2.346
573.481


563.469
3.079
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562.993
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573.481


559.453
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573.481


560.008
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560.558
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561.644
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562.181
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573.481


562.714
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573.481


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573.083
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573.599
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573.481


574.377
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573.481


562.387
4.506
582.813


561.912
5.215
582.813


561.429
5.919
582.813


560.937
6.616
582.813


560.436
7.307
582.813


559.926
7.991
582.813


559.404
8.666
582.813


558.872
9.333
582.813


558.328
9.990
582.813


557.771
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582.813


557.200
11.271
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556.615
11.893
582.813


556.015
12.500
582.813


555.399
13.090
582.813


554.766
13.662
582.813


554.114
14.213
582.813


553.444
14.741
582.813


552.753
15.242
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552.043
15.714
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551.311
16.153
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550.558
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549.784
16.913
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548.989
17.225
582.813


548.176
17.483
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547.347
17.684
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546.505
17.821
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545.654
17.888
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544.801
17.880
582.813


543.953
17.788
582.813


543.120
17.607
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542.315
17.324
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541.567
16.917
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540.940
16.343
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540.629
15.561
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540.822
14.747
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541.459
14.192
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542.241
13.853
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543.054
13.595
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543.873
13.354
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544.688
13.100
582.813


545.493
12.820
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546.287
12.505
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547.065
12.156
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547.828
11.774
582.813


548.574
11.359
582.813


549.302
10.914
582.813


550.012
10.441
582.813


550.705
9.943
582.813


551.381
9.423
582.813


552.042
8.882
582.813


552.687
8.324
582.813


553.318
7.749
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553.937
7.161
582.813


554.543
6.561
582.813


555.138
5.949
582.813


555.723
5.328
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556.298
4.697
582.813


556.865
4.059
582.813


557.423
3.414
582.813


557.974
2.762
582.813


558.519
2.105
582.813


559.058
1.444
582.813


574.147
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573.783
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582.813


573.411
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582.813


573.037
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582.813


572.662
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582.813


572.285
−13.409
582.813


571.908
−12.644
582.813


571.528
−11.879
582.813


571.147
−11.116
582.813


570.763
−10.354
582.813


570.378
−9.592
582.813


569.990
−8.832
582.813


569.600
−8.073
582.813


569.207
−7.316
582.813


568.812
−6.559
582.813


568.413
−5.805
582.813


568.012
−5.052
582.813


567.607
−4.301
582.813


567.198
−3.551
582.813


566.786
−2.804
582.813


566.369
−2.060
582.813


565.948
−1.317
582.813


565.522
−0.578
582.813


565.092
0.159
582.813


564.656
0.893
582.813


564.215
1.623
582.813


563.768
2.350
582.813


563.314
3.073
582.813


562.854
3.792
582.813


559.591
0.777
582.813


560.119
0.107
582.813


560.642
−0.567
582.813


561.161
−1.245
582.813


561.676
−1.925
582.813


562.188
−2.608
582.813


562.697
−3.293
582.813


563.203
−3.980
582.813


563.706
−4.669
582.813


564.207
−5.360
582.813


564.707
−6.052
582.813


565.205
−6.745
582.813


565.702
−7.439
582.813


566.198
−8.133
582.813


566.693
−8.828
582.813


567.188
−9.524
582.813


567.682
−10.219
582.813


568.176
−10.915
582.813


568.671
−11.610
582.813


569.165
−12.306
582.813


569.660
−13.001
582.813


570.156
−13.695
582.813


570.653
−14.389
582.813


571.151
−15.082
582.813


571.650
−15.775
582.813


572.149
−16.467
582.813


572.650
−17.158
582.813


573.154
−17.846
582.813


573.920
−17.991
582.813









As an example, the profile sections of the second stage bucket airfoils 22 at each of the near root, near pitch and near tip distances R are illustrated in FIG. 4.


It will also be appreciated that the airfoils disclosed in the above Tables I-IV may be scaled up or down geometrically for use in other similar turbine designs. Consequently, the coordinate values set forth in Tables I-IV may be scaled upwardly or downwardly such the airfoil shapes remain unchanged. A scaled version of the coordinates values in Tables I-IV would be represented by X, Y and R coordinate values multiplied or divided by the same constant or number.


While the invention has been described in connection with what is presently considered to be the most practical and preferred embodiment, it is to be understood that the invention is not to be limited to the disclosed embodiment, but on the contrary, is intended to cover various modifications and equivalent arrangements included within the spirit and scope of the appended claims.

Claims
  • 1. A turbine nozzle for a turbine, the turbine nozzle including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table I, excluding values for X of 28.900 and for R of 494.350, wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form said airfoil shape.
  • 2. A turbine nozzle according to claim 1 forming part of a first stage of the turbine.
  • 3. A turbine nozzle according to claim 1 wherein said airfoil shape lies in an envelope within ±4.064 millimeters in a direction normal to any airfoil surface location.
  • 4. A turbine bucket including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table II wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form said airfoil shape.
  • 5. A turbine bucket according to claim 4 forming part of a first stage of the turbine.
  • 6. A turbine bucket according to claim 4 wherein said airfoil shape lies in an envelope within 4.064 millimeters in a direction normal to any airfoil surface location.
  • 7. A turbine nozzle including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table III wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections in planes normal to the radius and at the R distances being joined smoothly with one another to form said airfoil shape.
  • 8. A turbine nozzle according to claim 7 forming part of a second stage of the turbine.
  • 9. A turbine nozzle according to claim 7 wherein said airfoil shape lies in an envelope within ±4.064 millimeters in a direction normal to any airfoil surface location.
  • 10. A turbine bucket including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table IV wherein R is a distance along a radius from an axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define airfoil profile sections in planes normal to the radius and at each distance R, the profile sections at the R distances being joined smoothly with one another to form the airfoil shape.
  • 11. A turbine bucket according to claim 10 forming part of a second stage of the turbine.
  • 12. A turbine bucket according to claim 10 wherein said airfoil shape lies in an envelope within ±4.064 millimeters in a direction normal to any airfoil surface location.
  • 13. A first stage of a turbine having a plurality of nozzles in a circumferential array about a turbine axis and a plurality of buckets in a circumferential array about said axis downstream of said nozzles, each said nozzle including a nozzle airfoil having a nozzle airfoil shape, said nozzle airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table I, excluding values for X of 28.900 and for R of 494.350, wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define nozzle airfoil profile sections in planes normal to the radius and at each distance R, the nozzle airfoil profile sections at the R distances being joined smoothly with one another to form said nozzle airfoil shape; each said bucket including a bucket airfoil having a bucket airfoil shape, said bucket airfoil having a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters Table II wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuing arcs, define bucket airfoil profile sections in planes normal to the radius and at each distance R, the bucket airfoil profile sections at the R distances of Table II being joined smoothly with one another to form said bucket airfoil shape.
  • 14. A first turbine stage according to claim 13 wherein each said airfoil shape of each of said nozzle and said bucket lies in an envelope within ±4.064 millimeters in a direction normal to any respective airfoil surface location.
  • 15. A second stage of a turbine having a plurality of nozzles in a circumferential array about a turbine axis and a plurality of buckets in a circumferential array about said axis downstream of said nozzles, each said nozzle including a nozzle airfoil having a nozzle airfoil shape, said nozzle airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table III wherein R is a distance along a radius from the axis of rotation of the turbine and X and y are distances which, when connected by smooth continuous arcs, define nozzle airfoil profile sections in planes normal to the radius and at each distance R, the nozzle profile sections at the R distances being joined smoothly with one another to form said nozzle airfoil shape; each said bucket including a bucket airfoil having a bucket airfoil shape, said bucket airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and R set forth in millimeters in Table IV wherein R is a distance along a radius from the axis of rotation of the turbine and X and Y are distances which, when connected by smooth continuous arcs, define bucket airfoil profile sections in planes normal to the radius and at each distance R, the bucket airfoil profile sections at the R distances of Table IV being joined smoothly with one another to form said bucket airfoil shape.
  • 16. A second stage of a turbine according to claim 15 wherein each said airfoil shape of each of said nozzles and said buckets lie in an envelope within ±4.064 millimeters in a direction normal to any respective airfoil surface location.
Parent Case Info

This application is a continuation of application Ser. No. 11/090,300, filed Mar. 28, 2005, now abandoned the entire content of which is hereby incorporated by reference in this application.

US Referenced Citations (32)
Number Name Date Kind
6398489 Burdgick et al. Jun 2002 B1
6450770 Wang et al. Sep 2002 B1
6461109 Wedlake et al. Oct 2002 B1
6461110 By et al. Oct 2002 B1
6474948 Pirolla et al. Nov 2002 B1
6503054 Bielek et al. Jan 2003 B1
6503059 Frost et al. Jan 2003 B1
6558122 Xu et al. May 2003 B1
6685434 Humanchuk et al. Feb 2004 B1
6715990 Arness et al. Apr 2004 B1
6722852 Wedlake et al. Apr 2004 B1
6722853 Humanchuk et al. Apr 2004 B1
6736599 Jacks et al. May 2004 B1
6739838 Bielek et al. May 2004 B1
6739839 Brown et al. May 2004 B1
6761535 McGrath et al. Jul 2004 B1
6769878 Parker et al. Aug 2004 B1
6769879 Cleveland et al. Aug 2004 B1
6779977 Lagrange et al. Aug 2004 B2
6779980 Brittingham et al. Aug 2004 B1
6808368 Tomberg et al. Oct 2004 B1
6832897 Urban Dec 2004 B2
6854961 Zhang et al. Feb 2005 B2
6857855 Snook et al. Feb 2005 B1
6866477 Arness et al. Mar 2005 B2
6881038 Beddard et al. Apr 2005 B1
6884038 Hyde et al. Apr 2005 B2
6887041 Coke et al. May 2005 B2
6910868 Hyde et al. Jun 2005 B2
6994520 Humanchuk et al. Feb 2006 B2
7001147 Phillips et al. Feb 2006 B1
7186090 Tomberg et al. Mar 2007 B2
Related Publications (1)
Number Date Country
20080175707 A1 Jul 2008 US
Continuations (1)
Number Date Country
Parent 11090300 Mar 2005 US
Child 11648906 US