# Patent

## Title
Airfoil shape for a compressor

## Abstract

An article of manufacture having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE A. X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches. The profile sections at the Z distances can be joined smoothly with one another to form a complete airfoil shape.

## Background
BACKGROUND OF THE INVENTION
The present invention relates to airfoil, such as for a blade or vane of a gas turbine (hereinafter either blade or vane for ease of description and understanding). In particular, the invention relates to compressor airfoil profiles for a Stage 14 rotor vane.
In a gas turbine, many system requirements should be met at each stage of a gas turbine's flow path section to meet design goals. A turbine hot gas path requires that the compressor airfoil rotor vane meet design goals and desired requirements of efficiency, reliability, and loading. For example, and in no way limiting of the invention, a vane of a compressor rotor should achieve thermal and mechanical operating requirements for that particular stage. Further, for example, and in no way limiting of the invention, a vane of a compressor rotor should achieve thermal and mechanical operating requirements for that particular stage.
Past efforts to meet design goals and desired requirements have provided coatings on the airfoil, but the coatings may not be robust enough or permanent to provide design goals and desired requirements. Accordingly, it is desirable to provide an airfoil configuration with a profile meet to design goals and desired requirements.
BRIEF DESCRIPTION OF THE INVENTION
In one embodiment of the invention, an article of manufacture comprises a vane airfoil having an airfoil shape, the airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE A. X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches. The profile sections at the Z distances are joined smoothly with one another to form a complete airfoil shape.
In another embodiment according to the invention, a compressor vane includes a vane airfoil having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE A. X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each Z distance in inches. The profile sections at the Z distances are joined smoothly with one another to form a complete airfoil shape. X and Y distances are scalable as a function of a constant to provide a scaled-up or scaled-down airfoil.
In a further embodiment of the invention, a compressor comprises a compressor wheel having a plurality of blades cooperating with rotor vanes. Each of the vanes includes an airfoil having an airfoil shape. The airfoil comprises a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE A. X and Y are distances in inches which, when connected by smooth continuing arcs, define the airfoil profile sections at each distance Z in inches. The profile sections at the Z distances are joined smoothly with one another to form a complete airfoil shape.
In a yet further embodiment of the invention, a compressor comprises a compressor wheel having a plurality of blades cooperating with rotor vanes, and each of the vanes include an airfoil having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE A. X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches. The profile sections at the Z distances are joined smoothly with one another to form a complete airfoil shape. The X, Y and Z distances are scalable as a function of a constant to provide a scaled-up or scaled-down vane airfoil.



BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is a fragmentary cross-sectional view of a compressor illustrating various stages of the compressor, as embodied by the invention;
FIG. 2 is perspective view of a blade for a compressor, as embodied by the invention;
FIG. 3 is a side elevational view thereof;
FIG. 4 is a tangential and rear perspective view of a compressor blade, as embodied by the invention;
FIG. 5 is a end view of a compressor blade as viewed looking radially outwardly from the blade tip, as embodied by the invention;
FIG. 6 is a view similar to FIG. 2; and
FIG. 7 is a cross-sectional view thereof taken generally about on line 7-7 in FIG. 6.



DETAILED DESCRIPTION OF THE INVENTION
In accordance with one embodiment of the instant invention, an article of manufacture has a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE A, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape.
In accordance with one embodiment of the instant invention, there is provided an airfoil compressor shape for a vane of a gas turbine that enhances the performance of the gas turbine. The airfoil shape hereof also improves the interaction between various stages of the compressor and affords improved aerodynamic efficiency, while simultaneously reducing stage airfoil thermal and mechanical stresses.
The vane airfoil profile, as embodied by the invention, is defined by a unique loci of points to achieve the necessary efficiency and loading requirements whereby improved compressor performance is obtained. These unique loci of points define the nominal airfoil profile and are identified by the X, Y and Z Cartesian coordinates of the TABLE A that follows. The points for the coordinate values shown in TABLE A are relative to the engine centerline and for a cold, i.e., room temperature vane at various cross-sections of the vane's airfoil along its length. The positive X, Y and Z directions are axial toward the exhaust end of the turbine, tangential in the direction of engine rotation and radially outwardly toward the static case, respectively. The X, Y, and Z coordinates are given in distance dimensions, e.g., units of inches, and are joined smoothly at each Z location to form a smooth continuous airfoil cross-section. Each defined airfoil section in the X, Y plane is joined smoothly with adjacent airfoil sections in the Z direction to form the complete airfoil shape.
It will be appreciated that an airfoil heats up during use, as known by a person of ordinary skill in the art. The airfoil profile will thus change as a result of mechanical loading and temperature. Accordingly, the cold or room temperature profile, for manufacturing purposes, is given by X, Y and Z coordinates. A distance of plus or minus about 0.160 inches (+/−0.160′′) from the nominal profile in a direction normal to any surface location along the nominal profile and which includes any coating, defines a profile envelope for this vane airfoil, because a manufactured vane airfoil profile may be different from the nominal airfoil profile given by the following tables. The airfoil shape is robust to this variation, without impairment of the mechanical and aerodynamic functions of the vane.
The airfoil, as embodied by the invention, can be scaled up or scaled down geometrically for introduction into similar turbine designs. Consequently, the X, Y and Z coordinates of the nominal airfoil profile may be a function of a constant. That is, the X, Y and Z coordinate values may be multiplied or divided by the same constant or number to provide a “scaled-up” or “scaled-down” version of the vane airfoil profile, while retaining the airfoil section shape, as embodied by the invention.
Referring now to FIG. 1, there is illustrated a portion of a compressor, generally designated 10, having multiple stages including a first stage, generally designated 12. Each stage includes a plurality of circumferentially spaced stator blades, as well as rotor blades 14 mounted on the compressor rotor 16. The first stage compressor stator blades 12 are circumferentially spaced one from the other, having airfoils 18 of a particular airfoil shape or profile specified below. Referring to FIG. 2, the airfoil shape or profile includes leading and trailing edges 20 and 22, respectively.
Referring now to FIGS. 2-7, each of the airfoils blades has an airfoil profile defined by a Cartesian coordinate system for X, Y and Z values. The coordinate values are set forth in inches in Table I below. The Cartesian coordinate system includes orthogonally related X, Y and Z axes with the Z axis extending along a radius from the centerline of the compressor rotor, i.e., normal to a plane containing the X and Y values. The Z distance commences at zero in the X, Y plane at the radially outermost aerodynamic section. The X axis lies parallel to the compressor rotor centerline, i.e., the rotary axis. By defining X and Y coordinate values at selected locations in a Z direction normal to the X, Y plane, the profile of airfoil 20 can be ascertained. By connecting the X and Y values with smooth continuing arcs, each profile section at each distance Z is fixed. The surface profiles at the various surface locations between the distances Z are connected smoothly to one another to form the airfoil. The tabular values given in Table I below are in inches and represent airfoil profiles at ambient, non-operating or non-hot conditions and are for an uncoated airfoil. The sign convention assigns a positive value Z in a radially inward direction and positive and negative values for the X and Y coordinate values as typically used in Cartesian coordinate systems.
To define the airfoil shape of the vane airfoil, a unique set or loci of points in space are provided. This unique set or loci of points meet the stage requirements so the stage can be manufactured. This unique loci of points also meets the desired requirements for stage efficiency and reduced thermal and mechanical stresses. The loci of points are arrived at by iteration between aerodynamic and mechanical loadings enabling the compressor to run in an efficient, safe and smooth manner.
The loci, as embodied by the invention, defines the vane airfoil profile and can comprise a set of points relative to the axis of rotation of the engine. For example, a set of points can be provided to define a vane airfoil profile. Furthermore, the vane airfoil profile, as embodied by the invention, can comprise a vanes for a Stage 4 rotor vane of a compressor.
A Cartesian coordinate system of X, Y and Z values given in TABLE A below defines a profile of a vane airfoil at various locations along its length. The coordinate values for the X, Y and Z coordinates are set forth in inches, although other units of dimensions may be used when the values are appropriately converted. These values exclude fillet regions of the platform. The Cartesian coordinate system has orthogonally-related X, Y and Z axes. The X axis lies parallel to the compressor rotor centerline, such as the rotary axis. A positive X coordinate value is axial toward the aft, for example the exhaust end of the compressor. A positive Y coordinate value directed aft extends tangentially in the direction of rotation of the rotor. A positive Z coordinate value is directed radially outward toward the static casing of the compressor.
TABLE A values are generated and shown to three decimal places for determining the profile of the airfoil. There are typical manufacturing tolerances as well as coatings, which should be accounted for in the actual profile of the airfoil. Accordingly, the values for the profile given are for a nominal airfoil. It will therefore be appreciated that +/− typical manufacturing tolerances, such as, +/− values, including any coating thicknesses, are additive to the X and Y values. Therefore, a distance of about +/−0.160 inches in a direction normal to any surface location along the airfoil profile defines an airfoil profile envelope for a vane airfoil design and compressor. In other words, a distance of about +/−0.160 inches in a direction normal to any surface location along the airfoil profile defines a range of variation between measured points on the actual airfoil surface at nominal cold or room temperature and the ideal position of those points, at the same temperature, as embodied by the invention. The vane airfoil design, as embodied by the invention, is robust to this range of variation without impairment of mechanical and aerodynamic functions.
The coordinate values given in the TABLE A below provide the nominal profile envelope for an exemplary S1 stage rotor.









TABLE A





X
Y
Z

















−0.6271
1.1132
−0.2140


−0.6265
1.1134
−0.2140


−0.6254
1.1138
−0.2140


−0.6231
1.1143
−0.2140


−0.6185
1.1149
−0.2140


−0.6112
1.1144
−0.2140


−0.5986
1.1105
−0.2140


−0.5837
1.1013
−0.2140


−0.5668
1.0856
−0.2140


−0.5483
1.0635
−0.2140


−0.5253
1.0338
−0.2140


−0.4997
0.9990
−0.2140


−0.4730
0.9613
−0.2140


−0.4436
0.9185
−0.2140


−0.4114
0.8707
−0.2140


−0.3762
0.8179
−0.2140


−0.3399
0.7624
−0.2140


−0.3020
0.7044
−0.2140


−0.2624
0.6441
−0.2140


−0.2210
0.5816
−0.2140


−0.1777
0.5169
−0.2140


−0.1324
0.4500
−0.2140


−0.0852
0.3810
−0.2140


−0.0361
0.3097
−0.2140


0.0132
0.2386
−0.2140


0.0628
0.1677
−0.2140


0.1124
0.0968
−0.2140


0.1620
0.0259
−0.2140


0.2114
−0.0452
−0.2140


0.2605
−0.1165
−0.2140


0.3095
−0.1878
−0.2140


0.3585
−0.2591
−0.2140


0.4077
−0.3304
−0.2140


0.4571
−0.4014
−0.2140


0.5069
−0.4722
−0.2140


0.5555
−0.5402
−0.2140


0.6030
−0.6056
−0.2140


0.6492
−0.6683
−0.2140


0.6941
−0.7283
−0.2140


0.7379
−0.7856
−0.2140


0.7804
−0.8403
−0.2140


0.8216
−0.8923
−0.2140


0.8596
−0.9394
−0.2140


0.8944
−0.9818
−0.2140


0.9258
−1.0194
−0.2140


0.9540
−1.0523
−0.2140


0.9788
−1.0804
−0.2140


1.0000
−1.1040
−0.2140


1.0184
−1.1240
−0.2140


1.0338
−1.1408
−0.2140


1.0466
−1.1545
−0.2140


1.0569
−1.1654
−0.2140


1.0637
−1.1747
−0.2140


1.0654
−1.1832
−0.2140


1.0642
−1.1903
−0.2140


1.0616
−1.1955
−0.2140


1.0589
−1.1989
−0.2140


1.0554
−1.2018
−0.2140


1.0501
−1.2044
−0.2140


1.0427
−1.2055
−0.2140


1.0341
−1.2035
−0.2140


1.0246
−1.1962
−0.2140


1.0131
−1.1858
−0.2140


0.9986
−1.1729
−0.2140


0.9810
−1.1572
−0.2140


0.9600
−1.1387
−0.2140


0.9352
−1.1171
−0.2140


0.9056
−1.0920
−0.2140


0.8712
−1.0634
−0.2140


0.8319
−1.0313
−0.2140


0.7878
−0.9956
−0.2140


0.7390
−0.9562
−0.2140


0.6856
−0.9132
−0.2140


0.6299
−0.8682
−0.2140


0.5720
−0.8211
−0.2140


0.5121
−0.7719
−0.2140


0.4504
−0.7202
−0.2140


0.3870
−0.6661
−0.2140


0.3222
−0.6092
−0.2140


0.2560
−0.5496
−0.2140


0.1910
−0.4888
−0.2140


0.1273
−0.4268
−0.2140


0.0651
−0.3633
−0.2140


0.0046
−0.2982
−0.2140


−0.0539
−0.2313
−0.2140


−0.1104
−0.1623
−0.2140


−0.1646
−0.0912
−0.2140


−0.2166
−0.0180
−0.2140


−0.2664
0.0573
−0.2140


−0.3140
0.1342
−0.2140


−0.3592
0.2125
−0.2140


−0.4007
0.2894
−0.2140


−0.4386
0.3648
−0.2140


−0.4731
0.4386
−0.2140


−0.5043
0.5105
−0.2140


−0.5319
0.5807
−0.2140


−0.5567
0.6487
−0.2140


−0.5793
0.7143
−0.2140


−0.5981
0.7780
−0.2140


−0.6139
0.8363
−0.2140


−0.6269
0.8891
−0.2140


−0.6368
0.9364
−0.2140


−0.6446
0.9810
−0.2140


−0.6499
1.0199
−0.2140


−0.6526
1.0500
−0.2140


−0.6516
1.0740
−0.2140


−0.6471
1.0916
−0.2140


−0.6403
1.1033
−0.2140


−0.6350
1.1087
−0.2140


−0.6310
1.1114
−0.2140


−0.6288
1.1125
−0.2140


−0.6276
1.1130
−0.2140


−0.6268
1.1302
0.0000


−0.6262
1.1304
0.0000


−0.6251
1.1308
0.0000


−0.6229
1.1314
0.0000


−0.6183
1.1322
0.0000


−0.6110
1.1320
0.0000


−0.5984
1.1284
0.0000


−0.5835
1.1196
0.0000


−0.5664
1.1042
0.0000


−0.5478
1.0823
0.0000


−0.5249
1.0526
0.0000


−0.4992
1.0178
0.0000


−0.4726
0.9802
0.0000


−0.4434
0.9373
0.0000


−0.4113
0.8895
0.0000


−0.3762
0.8366
0.0000


−0.3400
0.7811
0.0000


−0.3022
0.7231
0.0000


−0.2628
0.6628
0.0000


−0.2216
0.6001
0.0000


−0.1786
0.5353
0.0000


−0.1337
0.4682
0.0000


−0.0870
0.3989
0.0000


−0.0384
0.3273
0.0000


0.0103
0.2559
0.0000


0.0591
0.1845
0.0000


0.1078
0.1131
0.0000


0.1564
0.0415
0.0000


0.2048
−0.0302
0.0000


0.2529
−0.1020
0.0000


0.3008
−0.1741
0.0000


0.3486
−0.2461
0.0000


0.3965
−0.3181
0.0000


0.4447
−0.3900
0.0000


0.4931
−0.4616
0.0000


0.5402
−0.5307
0.0000


0.5861
−0.5970
0.0000


0.6307
−0.6608
0.0000


0.6741
−0.7219
0.0000


0.7162
−0.7804
0.0000


0.7570
−0.8363
0.0000


0.7965
−0.8895
0.0000


0.8330
−0.9379
0.0000


0.8662
−0.9814
0.0000


0.8962
−1.0201
0.0000


0.9231
−1.0540
0.0000


0.9467
−1.0831
0.0000


0.9669
−1.1076
0.0000


0.9843
−1.1283
0.0000


0.9991
−1.1457
0.0000


1.0112
−1.1600
0.0000


1.0210
−1.1713
0.0000


1.0279
−1.1805
0.0000


1.0300
−1.1889
0.0000


1.0289
−1.1962
0.0000


1.0262
−1.2014
0.0000


1.0233
−1.2048
0.0000


1.0198
−1.2074
0.0000


1.0143
−1.2097
0.0000


1.0069
−1.2102
0.0000


0.9986
−1.2073
0.0000


0.9897
−1.1994
0.0000


0.9788
−1.1886
0.0000


0.9650
−1.1750
0.0000


0.9483
−1.1587
0.0000


0.9282
−1.1393
0.0000


0.9046
−1.1167
0.0000


0.8764
−1.0905
0.0000


0.8435
−1.0605
0.0000


0.8059
−1.0269
0.0000


0.7637
−0.9896
0.0000


0.7169
−0.9484
0.0000


0.6656
−0.9035
0.0000


0.6121
−0.8565
0.0000


0.5564
−0.8076
0.0000


0.4988
−0.7564
0.0000


0.4394
−0.7029
0.0000


0.3784
−0.6469
0.0000


0.3159
−0.5882
0.0000


0.2522
−0.5268
0.0000


0.1896
−0.4643
0.0000


0.1282
−0.4008
0.0000


0.0682
−0.3360
0.0000


0.0099
−0.2698
0.0000


−0.0466
−0.2020
0.0000


−0.1011
−0.1324
0.0000


−0.1536
−0.0610
0.0000


−0.2042
0.0120
0.0000


−0.2530
0.0867
0.0000


−0.3000
0.1628
0.0000


−0.3453
0.2405
0.0000


−0.3871
0.3166
0.0000


−0.4256
0.3911
0.0000


−0.4609
0.4639
0.0000


−0.4931
0.5348
0.0000


−0.5219
0.6040
0.0000


−0.5480
0.6710
0.0000


−0.5717
0.7357
0.0000


−0.5918
0.7984
0.0000


−0.6088
0.8558
0.0000


−0.6228
0.9078
0.0000


−0.6336
0.9545
0.0000


−0.6421
0.9986
0.0000


−0.6481
1.0371
0.0000


−0.6512
1.0669
0.0000


−0.6504
1.0907
0.0000


−0.6460
1.1081
0.0000


−0.6396
1.1200
0.0000


−0.6344
1.1255
0.0000


−0.6305
1.1283
0.0000


−0.6284
1.1294
0.0000


−0.6273
1.1299
0.0000


−0.6270
1.1355
0.0600


−0.6265
1.1357
0.0600


−0.6254
1.1361
0.0600


−0.6231
1.1367
0.0600


−0.6185
1.1375
0.0600


−0.6113
1.1373
0.0600


−0.5987
1.1338
0.0600


−0.5837
1.1250
0.0600


−0.5666
1.1097
0.0600


−0.5479
1.0878
0.0600


−0.5249
1.0582
0.0600


−0.4992
1.0234
0.0600


−0.4726
0.9858
0.0600


−0.4434
0.9429
0.0600


−0.4113
0.8950
0.0600


−0.3763
0.8421
0.0600


−0.3401
0.7866
0.0600


−0.3024
0.7285
0.0600


−0.2630
0.6682
0.0600


−0.2219
0.6055
0.0600


−0.1789
0.5406
0.0600


−0.1341
0.4734
0.0600


−0.0876
0.4040
0.0600


−0.0392
0.3323
0.0600


0.0093
0.2607
0.0600


0.0579
0.1891
0.0600


0.1065
0.1175
0.0600


0.1548
0.0458
0.0600


0.2029
−0.0261
0.0600


0.2507
−0.0982
0.0600


0.2982
−0.1704
0.0600


0.3458
−0.2427
0.0600


0.3934
−0.3149
0.0600


0.4411
−0.3870
0.0600


0.4892
−0.4589
0.0600


0.5359
−0.5282
0.0600


0.5814
−0.5949
0.0600


0.6257
−0.6590
0.0600


0.6686
−0.7204
0.0600


0.7103
−0.7792
0.0600


0.7506
−0.8354
0.0600


0.7897
−0.8890
0.0600


0.8257
−0.9377
0.0600


0.8585
−0.9815
0.0600


0.8882
−1.0205
0.0600


0.9147
−1.0547
0.0600


0.9380
−1.0841
0.0600


0.9579
−1.1088
0.0600


0.9751
−1.1297
0.0600


0.9896
−1.1473
0.0600


1.0016
−1.1617
0.0600


1.0112
−1.1732
0.0600


1.0181
−1.1824
0.0600


1.0201
−1.1909
0.0600


1.0189
−1.1981
0.0600


1.0162
−1.2033
0.0600


1.0133
−1.2066
0.0600


1.0097
−1.2092
0.0600


1.0042
−1.2114
0.0600


0.9968
−1.2118
0.0600


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In the exemplary embodiments, as embodied by the invention, for example the stage compressor vane, there are many airfoils, which are un-cooled. For reference purposes only, there is established point-0 passing through the intersection of the airfoil and the platform along the stacking axis.
It will also be appreciated that the exemplary airfoil(s) disclosed in the above TABLE A may be scaled up or down geometrically for use in other similar compressor designs. Consequently, the coordinate values set forth in TABLE A may be scaled upwardly or downwardly such TABLE A the airfoil profile shape remains unchanged. A scaled version of the coordinates in the TABLE A would be represented by X, Y and Z coordinate values of the TABLE A multiplied or divided by a constant.
In particular, as embodied by the invention, the airfoil as defined by TABLE A, can be applied in a compressor of a turbine, for example, but not limited to, as General Electric “7FA+e” compressor. Moreover, the vane airfoil profile, as embodied by the invention, can comprise a Stage 14 rotor vane of a compressor. This compressor is merely illustrative of the intended applications for the airfoil, as embodied by the invention. Moreover, it is envisioned that the airfoil of TABLE A, as embodied by the invention, can also be used as rotor vanes in GE Frame F-class turbines, as well as GE's Frame 6 and 9 turbines, given the scaling of the airfoil, as embodied by the invention.
The airfoils impart kinetic energy to the airflow and therefore bring about a desired flow across the compressor. The airfoils turn the fluid flow, slow the fluid flow velocity (in the respective airfoil frame of reference), and yield a rise in the static pressure of the fluid flow. The configuration of the airfoil (along with its interaction with surrounding airfoils), as embodied by the invention, including its peripheral surface provides for stage airflow efficiency, enhanced aeromechanics, smooth laminar flow from stage to stage, reduced thermal stresses, enhanced interrelation of the stages to effectively pass the airflow from stage to stage, and reduced mechanical stresses, among other desirable aspects of the invention. Typically, multiple rows of airfoil stages, such as, but not limited to, rotor/rotor airfoils, are stacked to achieve a desired discharge to inlet pressure ratio. Airfoils can be secured to wheels or a case by an appropriate attachment configuration, often known as a “root”, “base” or “dovetail”.
The configuration of the airfoil and any interaction with surrounding airfoils, as embodied by the invention, that provide the desirable aspects fluid flow dynamics and laminar flow of the invention can be determined by various means. Fluid flow from a preceding/upstream airfoil intersects with the airfoil, as embodied by the invention, and via the configuration of the instant airfoil, flow over and around the airfoil, as embodied by the invention, is enhanced. In particular, the fluid dynamics and laminar flow from the airfoil, as embodied by the invention, is enhanced. There is a smooth transition fluid flow from any preceding/upstream airfoil(s) and a smooth transition fluid flow to the adjacent/downstream airfoil(s). Moreover, the flow from the airfoil, as embodied by the invention, proceeds to the adjacent/downstream airfoil(s) is enhanced due to the enhanced laminar fluid flow off of the airfoil, as embodied by the invention. Therefore, the configuration of the airfoil, as embodied by the invention, assists in the prevention of turbulent fluid flow in the unit comprising the airfoil, as embodied by the invention.
For example, but in no way limiting of the invention, the airfoil configuration (with or without fluid flow interaction) can be determined by computational modeling, Fluid Dynamics (CFD); traditional fluid dynamics analysis; Euler and Navier-Stokes equations; for transfer functions, algorithms, manufacturing: manual positioning, flow testing (for example in wind tunnels), and modification of the airfoil; in-situ testing; modeling: application of scientific principles to design or develop the airfoils, machines, apparatus, or manufacturing processes; airfoil flow testing and modification; combinations thereof, and other design processes and practices. These methods of determination are merely exemplary, and are not intended to limit the invention in any manner.
As noted above, the airfoil configuration (along with its interaction with surrounding airfoils), as embodied by the invention, including its peripheral surface provides for stage airflow efficiency, enhanced aeromechanics, smooth laminar flow from stage to stage, reduced thermal stresses, enhanced interrelation of the stages to effectively pass the airflow from stage to stage, and reduced mechanical stresses, among other desirable aspects of the invention, compared to other similar airfoils, which have like applications. Of course, other such advantages are within the scope of the invention.
While various embodiments are described herein, it will be appreciated from the specification that various combinations of elements, variations or improvements therein may be made by those skilled in the art, and are within the scope of the invention.

## Claims

1. An article of manufacture, the article having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE A, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches, wherein Z is defined along a stacking axis, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape.

2. An article of manufacture according to claim 1, wherein the airfoil shape comprises an airfoil.

3. An article of manufacture according to claim 2, wherein said airfoil shape is provided with a coating that lies in an envelope within ±0.160 inches in a direction normal to any article surface location.

4. An article of manufacture according to claim 1, wherein the airfoil shape comprises a rotor blade.

5. A compressor comprising a compressor wheel having a plurality of blades, each of said blades cooperating with a plurality of rotor vanes, the plurality of rotor vanes comprising an airfoil having an airfoil shape, said airfoil shape having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE A, wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define the airfoil profile sections at each distance Z in inches, wherein Z is defined along a stacking axis, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape.

6. A compressor comprising a compressor wheel having a plurality of blades, the plurality of rotor blades comprising an airfoil having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE A, wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches, wherein Z is defined along a stacking axis, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape, the X and Y distances being scalable as a function of the same constant or number to provide at least one of a scaled up airfoil and scaled down airfoil.

7. A compressor according to claim 6 wherein the plurality of rotor blades comprise a Stage 14 rotor vane.

8. A compressor according to claim 6 wherein said airfoil shape is provided with a coating that lies in an envelope within ±0.160 inches in a direction normal to any airfoil surface location.