Turbine rotor blade airfoil profile

Information

  • Patent Grant
  • 10954797
  • Patent Number
    10,954,797
  • Date Filed
    Friday, March 20, 2020
    4 years ago
  • Date Issued
    Tuesday, March 23, 2021
    3 years ago
  • CPC
  • Field of Search
    • US
    • 416 2230A0
    • 416 2230R0
    • CPC
    • F01D5/141
  • International Classifications
    • F01D5/14
Abstract
The present application provides a turbine rotor blade including an airfoil shape. The airfoil shape may have a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I. The Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances expressed in a unit of distance (e.g., inches) by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil in the unit of distance. The X and Y values, when connected by smooth continuing arcs, define airfoil profile sections at each Z value. The airfoil profile sections at Z values may be joined smoothly with one another to form a complete airfoil shape.
Description
FIELD

The present disclosure relates to an airfoil for a turbine rotor blade of a stage of a turbine and, more particularly, relates to a shape defining a profile for an airfoil of a turbine rotor blade.


BACKGROUND

Some jet aircraft and simple cycle or combined cycle power plant systems employ turbines, or so-called turbomachines, in their design and operation. Some of these turbines employ airfoils (e.g., stator vanes or nozzles and rotor blades), which during operation are exposed to fluid flows. These airfoils are configured to aerodynamically interact with the fluid flows and to generate energy from these fluid flows as part of power generation. For example, the airfoils may be used to create thrust, to convert kinetic energy to mechanical energy, and/or to convert thermal energy to mechanical energy. As a result of this interaction and conversion, the aerodynamic characteristics of these airfoils may result in losses that have an impact on system and turbine operation, performance, thrust, efficiency, and power.


BRIEF DESCRIPTION

Aspects and advantages of the turbines and turbine rotor blades in accordance with the present disclosure will be set forth in part in the following description, or may be obvious from the description, or may be learned through practice of the technology.


In accordance with one embodiment, the present application provides a turbine rotor blade including an airfoil shape. The airfoil shape may have a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I. The Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil in the unit of distance (e.g., inches). The X and Y values, when connected by smooth continuing arcs, define airfoil profile sections at each Z value. The airfoil profile sections at Z values may be joined smoothly with one another to form a complete airfoil shape.


In accordance with another embodiment, the present application provides a turbine rotor blade including an airfoil having an uncoated nominal suction-side profile substantially in accordance with suction-side Cartesian coordinate values of X, Y and Z set forth in Table I. The Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil in the unit of distance (e.g., inches). The X and Y values, when connected by smooth continuing arcs, define suction-side profile sections at each Z value. The suction-side profile sections at the Z values may be joined smoothly with one another to form a complete (uncoated) suction-side nominal shape of the airfoil.


In accordance with another embodiment, the present application provides a turbine with a plurality of turbine rotor blades, each having an airfoil having an airfoil shape. The airfoils each have a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I. The Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil in the unit of distance. The X and Y values, when connected by smooth continuing arcs, define airfoil profile sections at each Z value. The airfoil profile sections at the Z values may be joined smoothly with one another to form a complete airfoil shape.


These and other features, aspects and advantages of the present turbines and turbine rotor blades will become better understood with reference to the following description and appended claims. The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments of the technology and, together with the description, serve to explain the principles of the technology.





BRIEF DESCRIPTION OF THE DRAWINGS

A full and enabling disclosure of the present turbines and turbine rotor blades, including the best mode of making and using the present systems and methods, directed to one of ordinary skill in the art, is set forth in the specification, which makes reference to the appended figures, in which:



FIG. 1 is a schematic representation of an exemplary turbine having multiple stages with each stage including alternating rows of turbine rotor blades and stationary vanes or nozzles, according to at least one embodiment of the present disclosure;



FIG. 2 is a perspective view of a turbine rotor blade, according to at least one embodiment of the present disclosure; and



FIG. 3 provides a cross-sectional view of an airfoil portion of the turbine rotor blade of FIG. 2.





DETAILED DESCRIPTION

Reference now will be made in detail to embodiments of the present turbines and turbine nozzles, one or more examples of which are illustrated in the drawings. Each example is provided by way of explanation, rather than limitation of, the technology. In fact, it will be apparent to those skilled in the art that various modifications and variations can be made in the present technology without departing from the scope or spirit of the claimed technology. For instance, features illustrated or described as part of one embodiment can be used with another embodiment to yield a still further embodiment. Thus, it is intended that the present disclosure covers such modifications and variations as come within the scope of the appended claims and their equivalents.


The detailed description uses numerical and letter designations to refer to features in the drawings. Like or similar designations in the drawings and description have been used to refer to like or similar parts of the invention. As used herein, the terms “first”, “second”, and “third” may be used interchangeably to distinguish one component from another and are not intended to signify location or importance of the individual components.


As used herein, the terms “upstream” (or “forward”) and “downstream” (or “aft”) refer to the relative direction with respect to fluid flow in a fluid pathway. For example, “upstream” refers to the direction from which the fluid flows, and “downstream” refers to the direction to which the fluid flows.


It is sometimes necessary to describe parts that are disposed at differing radial positions with regard to a center axis. The term “radially” refers to the relative direction (i.e., movement or position) that is substantially perpendicular to an axial centerline of a particular component; the term “axially” refers to the relative direction (i.e., movement or position) that is substantially parallel and/or coaxially aligned to an axial centerline of a particular component; and the term “circumferentially” refers to the relative direction (i.e., movement or position) that extends around the axial centerline of a particular component.


Unless stated otherwise, terms of approximation, such as “generally,” or “about” include values within ten percent greater or less than the stated value. When used in the context of an angle or direction, such terms include within ten degrees greater or less than the stated angle or direction. For example, “generally vertical” includes directions within ten degrees of vertical in any direction, e.g., clockwise or counter-clockwise.


Referring now to the drawings, particularly to FIG. 1, an exemplary turbine 10 of a gas turbine 12 includes a plurality of turbine stages arranged in serial flow order. Each stage of the turbine includes a row of stationary turbine nozzles or vanes (e.g., nozzles 100) disposed axially adjacent to a corresponding rotating row of turbine rotor blades 50. Four stages are illustrated in FIG. 1. The exact number of stages of the turbine 10 is a choice of engineering design and may be more or less than the four stages illustrated in FIG. 1. The four stages are merely exemplary of one turbine design and are not intended to limit the presently claimed turbine rotor blade in any manner.


The first stage comprises a plurality of turbine nozzles or vanes 100 and a plurality of turbine rotor blades 150. The turbine nozzles 100 are mounted to a casing 16 of the turbine 12 and are annularly arranged about an axis of a turbine rotor 14. The turbine rotor blades 150 are annularly arranged about and coupled to the turbine rotor 14. A second stage of the turbine 12 includes a plurality of turbine nozzles 200 annularly arranged about the axis of the turbine rotor 14 and a plurality of turbine rotor blades 250 annularly arranged about and coupled to the turbine rotor 14. The turbine nozzles 200 may be coupled to the casing 16 of the turbine 12.


As shown in FIG. 1, a third stage of the turbine 12 includes a plurality of turbine nozzles 300 annularly arranged about the axis of the turbine rotor 14 and a plurality of turbine rotor blades 350 annularly arranged about and coupled to the turbine rotor 14. The turbine nozzles 300 may be coupled to the casing 16 of the turbine 12. In particular embodiments, the turbine 12 includes a fourth stage which includes a plurality of turbine nozzles 400 annularly arranged about the axis of the turbine rotor 14 and a plurality of turbine rotor blades 450 annularly arranged about and coupled to the turbine rotor 14. The fourth stage turbine nozzles 400 may be coupled to the casing 16 of the turbine 12.


It will be appreciated that the turbine nozzles 100, 200, 300 and 400 and turbine rotor blades 150, 250, 350 and 450 are disposed or at least partially disposed within a hot gas path 18 of the turbine 12. The various stages of the turbine 10 at least partially define the hot gas path 18 through which combustion gases, as indicated by arrows 20, flow during operation of the gas turbine 12.



FIG. 2 provides a perspective view of an exemplary turbine rotor blade 50 as may be incorporated in any stage of the turbine 12. For example, in one embodiment the turbine rotor blade 50 as presented in Table I below is representative of a turbine rotor blade 350 of the plurality of turbine rotor blades 350 of the third stage.


As shown in FIGS. 2 and 3 collectively, the turbine rotor blade 50 includes an airfoil 52 having a pressure-side wall 54 and an opposing suction-side wall 56. The pressure-side wall 54 and the suction-side wall 56 meet or intersect at a leading edge 58 and a trailing edge 60 of the airfoil 52. A chord line 62 extends between the leading edge 58 and the trailing edge 60 such that pressure and suction-side walls 54, 56 can be said to extend in chord or chordwise between the leading edge 58 and the trailing edge 60.


As shown in FIG. 2, the airfoil 52 includes a root or first end 64, which intersects with and extends radially outwardly from a base or platform 66 of the turbine rotor blade 50. The airfoil 52 terminates radially at a second end or radial tip 68 of the airfoil 52. The pressure-side and suction-side walls 54, 56 can be said to extend in span or in a span-wise direction 70 between the root 64 and/or the platform 66 and the radial tip 68 of the airfoil 52. In other words, each turbine rotor blade 50 includes an airfoil 52 having opposing pressure-side and suction-side walls 54, 56 that extend in chord or chordwise 62 between opposing leading and trailing edges 58, 60 and that extend in span or span-wise 70 between the root 64 and the radial tip 68 of the airfoil 52.


In particular configurations, the airfoil 52 may include a fillet 72 formed between the platform 66 and the airfoil 52 proximate to the root 64. The fillet 72 can include a weld or braze fillet, which can be formed via conventional MIG welding, TIG welding, brazing, etc., and can include a profile that can reduce fluid dynamic losses as a result of the presence of fillet 72. In particular embodiments, the platform 66, the airfoil 52 and the fillet 72 can be formed as a single component, such as by casting and/or machining and/or 3D printing and/or any other suitable technique now known or later developed and/or discovered. In particular configurations, the turbine rotor blade 50 includes a mounting portion 74 (such as a dovetail joint), which is formed to connect and/or to secure the turbine rotor blade 50 to the rotor shaft 14.


The airfoil 52 of the turbine rotor blade 50 has a nominal profile at any cross-section taken between the platform 66 or the root 64 and the radial tip 68. A “profile” is the range of variation between measured points on an airfoil surface and the ideal position listed in Table I. The actual profile on a manufactured turbine blade will be different from those in Table I (e.g., due to coatings), and the design is robust to this variation, meaning that mechanical and aerodynamic function are not impaired.


The X, Y, and Z values are given in Table I as percentage values of the airfoil height or span. As one example only, the height or radial span of the airfoil 52 of turbine rotor blade 50 may be from about 10 inches to about 20 inches (about 25 centimeters to about 51 centimeters). However, it is to be understood that heights below or above this range may also be employed as desired in the specific application.


A gas turbine hot gas path requires airfoils that meet system requirements of aerodynamic and mechanical blade loading and efficiency. To define the airfoil shape of each turbine rotor blade airfoil, there is a unique set or loci of points in space that meet the stage requirements and that can be manufactured. This unique loci of points meet the requirements for stage efficiency and are arrived at by iteration between aerodynamic and mechanical loadings enabling the turbine to run in an efficient, safe and smooth manner. These points are unique and specific to the system.


The loci that define the turbine rotor blade airfoil profile include a set of about 2,400 points with X, Y and Z dimensions relative to a reference origin coordinate system. The Cartesian coordinate system of X, Y and Z values given in Table I below defines the profile of the turbine rotor blade airfoil at various locations along its height.


Table I lists data for an uncoated airfoil at cold or room temperature. The envelope/tolerance for the coordinates is about +1−5% in a direction normal to any airfoil surface location and/or about +/−5% of the chord 62 in a direction nominal to any airfoil surface location. In other words, the airfoil layout, as embodied by the disclosure, is robust to this range of variation without impairment of mechanical and aerodynamic functions.


A point data origin 76 is defined at or proximate to the root 64 at the leading edge 58. In one embodiment as presented in Table I below, the point data origin 76 is defined at or proximate to (above or below) a transition or intersection line 78 defined between the fillet 72 and the airfoil 52. The point data origin 76 corresponds to the non-dimensional Z value of Table I (presented below) at Z equals 0.


The coordinate values for the X, Y and Z coordinates are set forth in non-dimensionalized units provided in Table I, although other units of dimensions may be used when the values are appropriately converted. The X, Y and Z values set forth in Table I are also expressed in non-dimensional form (X, Y, and Z) from 0% to 100% of the height or span of the airfoil 52. As one example only, the Cartesian coordinate values of X. Y and Z may be convertible to dimensional distances by multiplying the X, Y and Z values by a height of the airfoil at the leading edge 58 and multiplying by a constant number (e.g., 100). As one example only, the Cartesian coordinate values of X, Y and Z may be convertible to dimensional distances by multiplying the X, Y and Z values by a height of the airfoil at the trailing edge 60 and multiplying by a constant number (e.g., 100).


To convert the Z value to a Z coordinate value, e.g., in inches, the non-dimensional Z value given in Table I is multiplied by the Z height of the airfoil in inches. As described above, the Cartesian coordinate system has orthogonally-related X, Y and Z axes and the X axis lies generally parallel to a centerline of the rotor shaft 14, i.e., the rotary axis and a positive X coordinate value is axial toward an aft, i.e., exhaust end of the turbine 10. The positive Y coordinate value extends tangentially in the direction of rotation of the rotor and the positive Z coordinate value is radially outwardly from the base 66 toward the radial tip 68. All the values in Table I are given at room temperature and do not include the fillet 72 or coatings (not shown).


By defining X and Y coordinate values at selected locations in a Z direction normal to the X, Y plane, the profile section or airfoil shape of the airfoil 52 of the turbine rotor blade 50, at each Z distance along the length of the airfoil 52 can be ascertained. By connecting the X and Y values with smooth continuing arcs, each profile section at each distance Z is fixed. The airfoil profiles of the various surface locations between the distances Z are determined by smoothly connecting the adjacent profile sections to one another to form the airfoil profile.


The Table I values are generated and shown to four decimal places for determining the profile of the airfoil 52. As the turbine rotor blade 50 heats up during operation of the gas turbine 12, surface stress and temperature will cause a change in the X, Y and Z values. Accordingly, the values for the profile given in Table I define the “nominal” airfoil profile, that is, the profile of an uncoated airfoil at ambient, non-operating or non-hot conditions (e.g., room temperature).


There are typical manufacturing tolerances as well as coatings which must be accounted for in the actual profile of the airfoil 52. Each cross-section is joined smoothly with the other cross-sections to form the complete airfoil shape. It will therefore be appreciated that +/− typical manufacturing tolerances, i.e., +/− values, including any coating thicknesses, are additive to the X and Y values given in Table I below. Accordingly, a distance of +/−5% in a direction normal to any surface location along the airfoil profile defines an airfoil profile envelope for this particular turbine rotor blade 50 airfoil design and turbine 12, i.e., 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 as given in Table I below at the same temperature. The data provided in Table I is scalable (i.e., by uniform geometric scaling), and the geometry pertains to all aerodynamic scales, at above and/or below 3000 RPM. The design of the airfoil 52 for turbine rotor blade 50 is robust to this range of variation without impairment of mechanical and aerodynamic functions.










TABLE I







SUCTION-SIDE
PRESSURE-SIDE












X (%)
Y (%)
Z (%)
X (%)
Y (%)
Z (%)















0.0000
0.0000
0.0000
0.0000
0.0000
0.0000


0.0157
0.4897
0.0000
0.2304
−0.3670
0.0000


0.2669
0.9189
0.0000
0.6105
−0.5797
0.0000


0.5986
1.2903
0.0000
1.0285
−0.7043
0.0000


0.9693
1.6239
0.0000
1.4584
−0.7786
0.0000


1.3639
1.9279
0.0000
1.8889
−0.8176
0.0000


1.7756
2.2093
0.0000
2.321.3
−0.8315
0.0000


2.1992
2.4717
0.0000
2.7537
−0.8239
0.0000


2.6335
2.7172
0.0000
3.1874
−0.7981
0.0000


3.0753
2.9482
0.0000
3.6210
−0.7578
0.0000


3.5241
3.1653
0.0000
4.0541
−0.7112
0.0000


3.9785
3.3699
0.0000
4.4877
−0.6640
0.0000


4.4368
3.5650
0.0000
4.9208
−0.6187
0.0000


4.9006
3.7545
0.0000
5.3545
−0.5759
0.0000


5.3670
3.9383
0.0000
5.7881
−0.5363
0.0000


5.8353
4.1170
0.0000
6.2218
−0.4979
0.0000


6.3055
4.2901
0.0000
6.6555
−0.4626
0.0000


6.7776
4.4575
0.0000
7.0898
−0.4293
0.0000


7.2522
4.6187
0.0000
7.5241
−0.3984
0.0000


7.7286
4.7741
0.0000
7.9584
−0.3707
0.0000


8.2063
4.9227
0.0000
8.3927
−0.3449
0.0000


8.6866
5.0649
0.0000
8.8276
−0.3223
0.0000


9.1687
5.2002
0.0000
9.2619
−0.3021
0.0000


9.6528
5.3287
0.0000
9.6968
−0.2845
0.0000


10.1387
5.4495
0.0000
10.1324
−0.2700
0.0000


10.6258
5.5634
0.0000
10.5673
−0.2581
0.0000


11.1155
5.6685
0.0000
11.0029
−0.2499
0.0000


11.6058
5.7661
0.0000
11.4384
−0.2442
0.0000


12.0987
5.8555
0.0000
11.8740
−0.2411
0.0000


12.5921
5.9360
0.0000
12.3102
−0.2417
0.0000


13.0869
6.0072
0.0000
12.7463
−0.2461
0.0000


13.5828
6.0688
0.0000
13.1825
−0.2530
0.0000


14.0788
6.1217
0.0000
13.6181
−0.2637
0.0000


14.5754
6.1639
0.0000
14.0530
−0.2776
0.0000


15.0720
6.1966
0.0000
14.4873
−0.2952
0.0000


15.5686
6.2186
0.0000
14.9210
−0.3160
0.0000


16.0653
6.2300
0.0000
15.3540
−0.3411
0.0000


16.5625
6.2300
0.0000
15.7858
−0.3695
0.0000


17.0597
6.2193
0.0000
16.2176
−0.4016
0.0000


17.5576
6.1972
0.0000
16.6481
−0.4374
0.0000


18.0561
6.1633
0.0000
17.0786
−0.4777
0.0000


18.5546
6.1173
0.0000
17.5079
−0.5212
0.0000


19.0531
6.0594
0.0000
17.9359
−0.5690
0.0000


19.5497
5.9895
0.0000
18.3639
−0.6212
0.0000


20.0425
5.9071
0.0000
18.7913
−0.6773
0.0000


20.5322
5.8133
0.0000
19.2174
−0.7377
0.0000


21.0175
5.7069
0.0000
19.6422
−0.8019
0.0000


21.4990
5.5892
0.0000
20.0671
−0.8711
0.0000


21.9774
5.4589
0.0000
20.4907
−0.9448
0.0000


22.4513
5.3167
0.0000
20.9137
−1.0228
0.0000


22.9221
5.1619
0.0000
21.3354
−1.1059
0.0000


23.3892
4.9957
0.0000
21.7565
−1.1934
0.0000


23.8530
4.8169
0.0000
22.1769
−1.2859
0.0000


24.3131
4.6262
0.0000
22.5961
−1.3835
0.0000


24.7701
4.4229
0.0000
23.0140
−1.4861
0.0000


25.2233
4.2077
0.0000
23.4313
−1.5937
0.0000


25.6708
3.9817
0.0000
23.8474
−1.7064
0.0000


26.1114
3.7457
0.0000
24.2628
−1.8247
0.0000


26.5451
3.4996
0.0000
24.6770
−1.9487
0.0000


26.9712
3.2446
0.0000
25.0905
−2.0783
0.0000


27.3904
2.9803
0.0000
25.5021
−2.2130
0.0000


27.8026
2.7071
0.0000
25.9131
−2.3540
0.0000


28.2080
2.4258
0.0000
26.3229
−2.5013
0.0000


28.6070
2.1356
0.0000
26.7320
−2.6549
0.0000


28.9998
1.8379
0.0000
27.1392
−2.8141
0.0000


29.3863
1.5320
0.0000
27.5458
−2.9803
0.0000


29.7671
1.2179
0.0000
27.9499
−3.1528
0.0000


30.1416
0.8969
0.0000
28.3502
−3.3302
0.0000


30.5110
0.5684
0.0000
28.7461
−3.5140
0.0000


30.8748
0.2316
0.0000
29.1376
−3.7029
0.0000


31.2330
−0.1114
0.0000
29.5254
−3.8974
0.0000


31.5861
−0.4620
0.0000
29.9087
−4.0969
0.0000


31.9341
−0.8189
0.0000
30.2882
−4.3027
0.0000


32.2759
−1.1820
0.0000
30.6627
−4.5136
0.0000


32.6127
−1.5503
0.0000
31.0334
−4.7307
0.0000


32.9437
−1.9241
0.0000
31.3991
−4.9529
0.0000


33.2691
−2.3024
0.0000
31.7610
−5.1814
0.0000


33.5882
−2.6857
0.0000
32.1179
−5.4155
0.0000


33.9023
−3.0734
0.0000
32.4710
−5.6553
0.0000


34.2107
−3.4656
0.0000
32.8197
−5.9008
0.0000


34.5135
−3.8615
0.0000
33.1634
−6.1519
0.0000


34.8112
−4.2624
0.0000
33.5026
−6.4094
0.0000


35.1039
−4.6659
0.0000
33.8375
−6.6731
0.0000


35.3922
−5.0737
0.0000
34.1667
−6.9431
0.0000


35.6767
−5.4835
0.0000
34.4908
−7.2213
0.0000


35.9580
−5.8964
0.0000
34.8087
−7.5058
0.0000


36.2356
−6.3118
0.0000
35.1215
−7.7985
0.0000


36.5113
−6.7285
0.0000
35.4280
−8.0981
0.0000


36.7838
−7.1470
0.0000
35.7289
−8.4059
0.0000


37.0538
−7.5675
0.0000
36.0254
−8.7193
0.0000


37.3188
−7.9905
0.0000
36.3174
−9.0384
0.0000


37.5788
−8.4172
0.0000
36.6063
−9.3620
0.0000


37.8318
−8.8477
0.0000
36.8914
−9.6905
0.0000


38.0791
−9.2820
0.0000
37.1728
−10.0228
0.0000


38.3221
−9.7188
0.0000
37.4510
−10.3608
0.0000


38.5569
−10.1601
0.0000
37.7254
−10.7026
0.0000


38.6299
−10.3514
0.0000
37.8758
−10.8499
0.0000


38.6525
−10.5541
0.0000
38.0590
−10.9525
0.0000


38.5965
−10.7479
0.0000
38.2655
−10.9733
0.0000


38.4599
−10.8971
0.0000
38.4599
−10.8971
0.0000


1.1499
0.6640
10.0002
1.1499
0.6640
10.0002


1.1588
1.1380
10.0002
1.3721
0.3135
10.0002


1.3967
1.5559
10.0002
1.7353
0.1070
10.0002


1.7145
1.9191
10.0002
2.1369
−0.0101
10.0002


2.0702
2.2451
10.0002
2.5485
−0.0799
10.0002


2.4497
2.5435
10.0002
2.9627
−0.1152
10.0002


2.8462
2.8192
10.0002
3.3768
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100.0000
15.4509
5.1266
100.0000


16.8438
7.5499
100.0000
15.6838
4.9724
100.0000


17.0944
7.3787
100.0000
15.9155
4.8150
100.0000


17.3417
7.2024
100.0000
16.1446
4.6533
100.0000


17.5853
7.0218
100.0000
16.3718
4.4884
100.0000


17.8251
6.8367
100.0000
16.5977
4.3197
100.0000


18.0618
6.6485
100.0000
16.8212
4.1485
100.0000


18.2953
6.4572
100.0000
17.0421
3.9741
100.0000


18.5257
6.2621
100.0000
17.2605
3.7973
100.0000


18.7529
6.0638
100.0000
17.4770
3.6185
100.0000


18.9776
5.8630
100.0000
17.6910
3.4379
100.0000


19.1991
5.6597
100.0000
17.9032
3.2541
100.0000


19.4188
5.4533
100.0000
18.1134
3.0690
100.0000


19.6353
5.2449
100.0000
18.3217
2.8821
100.0000


19.8506
5.0335
100.0000
18.5282
2.6926
100.0000


20.0633
4.8201
100.0000
18.7334
2.5019
100.0000


20.2735
4.6048
100.0000
18.9367
2.3100
100.0000


20.4819
4.3870
100.0000
19.1387
2.1161
100.0000


20.6890
4.1674
100.0000
19.3389
1.9204
100.0000


20.8935
3.9458
100.0000
19.5378
1.7233
100.0000


21.0968
3.7224
100.0000
19.7354
1.5251
100.0000


21.2982
3.4970
100.0000
19.9318
1.3256
100.0000


21.4978
3.2698
100.0000
20.1269
1.1248
100.0000


21.6954
3.0413
100.0000
20.3208
0.9227
100.0000


21.8918
2.8110
100.0000
20.5140
0.7194
100.0000


22.0863
2.5794
100.0000
20.7053
0.5149
100.0000


22.2789
2.3465
100.0000
20.8960
0.3097
100.0000


22.4702
2.1117
100.0000
21.0855
0.1032
100.0000


22.6597
1.8763
100.0000
21.2743
−0.1045
100.0000


22.8479
1.6396
100.0000
21.4619
−0.3135
100.0000


23.0342
1.4011
100.0000
21.6488
−0.5224
100.0000


23.2186
1.1619
100.0000
21.8351
−0.7326
100.0000


23.4018
0.9215
100.0000
22.0202
−0.9441
100.0000


23.5837
0.6798
100.0000
22.2040
−1.1562
100.0000


23.7637
0.4368
100.0000
22.3878
−1.3684
100.0000


23.9424
0.1932
100.0000
22.5703
−1.5817
100.0000


24.1199
−0.0516
100.0000
22.7516
−1.7957
100.0000


24.2955
−0.2977
100.0000
22.9328
−2.0104
100.0000


24.4705
−0.5444
100.0000
23.1128
−2.2256
100.0000


24.6436
−0.7924
100.0000
23.2922
−2.4415
100.0000


24.8154
−1.0417
100.0000
23.4710
−2.6580
100.0000


24.9854
−1.2916
100.0000
23.6485
−2.8752
100.0000


25.1547
−1.5427
100.0000
23.8260
−3.0930
100.0000


25.3221
−1.7945
100.0000
24.0028
−3.3107
100.0000


25.4883
−2.0469
100.0000
24.1785
−3.5298
100.0000


25.6532
−2.3012
100.0000
24.3541
−3.7488
100.0000


25.8162
−2.5554
100.0000
24.5290
−3.9685
100.0000


25.9780
−2.8110
100.0000
24.7034
−4.1881
100.0000


26.1385
−3.0672
100.0000
24.8771
−4.4091
100.0000


26.2977
−3.3246
100.0000
25.0502
−4.6300
100.0000


26.4557
−3.5826
100.0000
25.2227
−4.8509
100.0000


26.6124
−3.8413
100.0000
25.3945
−5.0731
100.0000


26.7679
−4.1007
100.0000
25.5657
−5.2959
100.0000


26.9233
−4.3606
100.0000
25.7356
−5.5194
100.0000


27.0769
−4.6206
100.0000
25.9049
−5.7434
100.0000


27.2305
−4.8811
100.0000
26.0730
−5.9681
100.0000


27.3828
−5.1423
100.0000
26.2398
−6.1935
100.0000


27.5351
−5.4042
100.0000
26.4060
−6.4201
100.0000


27.6862
−5.6660
100.0000
26.5709
−6.6473
100.0000


27.8366
−5.9285
100.0000
26.7345
−6.8751
100.0000


27.9864
−6.1910
100.0000
26.8969
−7.1042
100.0000


28.1356
−6.4547
100.0000
27.0593
−7.3333
100.0000


28.2835
−6.7184
100.0000
27.2204
−7.5631
100.0000


28.4295
−6.9834
100.0000
27.3822
−7.7928
100.0000


28.5730
−7.2490
100.0000
27.5446
−8.0219
100.0000


28.7153
−7.5165
100.0000
27.7070
−8.2504
100.0000


28.8544
−7.7853
100.0000
27.8700
−8.4789
100.0000


28.9916
−8.0547
100.0000
28.0324
−8.7080
100.0000


29.1276
−8.3253
100.0000
28.1941
−8.9371
100.0000


29.2623
−8.5960
100.0000
28.3584
−9.1650
100.0000


29.3938
−8.8685
100.0000
28.5233
−9.3922
100.0000


29.5203
−9.1436
100.0000
28.6857
−9.6213
100.0000


29.5826
−9.3343
100.0000
28.8254
−9.7723
100.0000


29.5952
−9.5332
100.0000
28.9979
−9.8837
100.0000


29.5329
−9.7201
100.0000
29.1974
−9.9190
100.0000


29.3913
−9.8592
100.0000
29.3913
−9.8592
100.0000









It will also be appreciated that the airfoil 52 disclosed in the above Table I may be scaled up or down geometrically for use in other similar turbine designs. Consequently, the coordinate values set forth in Table I may be scaled upwardly or downwardly such that the airfoil profile shape remains unchanged. A scaled version of the coordinates in Table I would be represented by X, Y and Z coordinate values of Table I, with the X, Y and Z non-dimensional coordinate values converted to units of distance (e.g., inches), multiplied or divided by a constant number.


An important term in this disclosure is “profile”. The profile is the range of the variation between measured points on an airfoil surface and the ideal position listed in Table I. The actual profile on a manufactured turbine rotor blade will be different than those in Table I, and the design is robust to this variation meaning that mechanical and aerodynamic function are not impaired. As noted above, a + or −5% profile tolerance is used herein. The X, Y and Z values are all non-dimensionalized relative to the airfoil height.


The disclosed airfoil shape optimizes and is specific to the machine conditions and specifications. It provides a unique profile to achieve 1) interaction between other stages in the turbine 10; 2) aerodynamic efficiency, and 3) normalized aerodynamic and mechanical blade loadings. The disclosed loci of points defined in Table I allow the gas turbine 12 or any other suitable turbine to run in an efficient, safe and smooth manner. As also noted, the disclosed airfoil 52 may be adapted to any scale, as long as 1) interaction between other stages in the pressure turbine 10; 2) aerodynamic efficiency; and 3) normalized aerodynamic and mechanical blade loadings are maintained in the scaled turbine.


The airfoil 52 described herein thus improves overall gas turbine 12 efficiency. Specifically, the airfoil 52 provides a desired turbine efficiency lapse rate (ISO, hot, cold, part load, etc.). The airfoil 52 also meets all aeromechanical and stress requirements. The turbine rotor blade 50 described herein has very specific aerodynamic design requirements, such as an upstream bucket radial back pressure (i.e., work splits) and radial velocity triangles for the downstream turbine rotors 150, 250, 350 and 450. Significant cross-functional design effort was required to meet these design goals. The airfoil 52 of the turbine rotor blade 50 thus is of a specific shape to meet aerodynamic, mechanical, and heat transfer requirements in an efficient and cost-effective manner.


This written description uses examples to disclose the invention, including the best mode, and also to enable any person skilled in the art to practice the invention, including making and using any devices or systems and performing any incorporated methods. The patentable scope of the invention is defined by the claims and may include other examples that occur to those skilled in the art. Such other examples are intended to be within the scope of the claims, if they have structural elements that do not differ from the literal language of the claims or if they include equivalent structural elements with insubstantial differences from the literal languages of the claims.

Claims
  • 1. A turbine rotor blade comprising an airfoil having an airfoil shape, the airfoil shape having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I, wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil in the unit of distance; and wherein X and Y values, when connected by smooth continuing arcs, define airfoil profile sections at each Z value, the airfoil profile sections at Z values being joined smoothly with one another to form a complete airfoil shape.
  • 2. The turbine rotor blade of claim 1, wherein the turbine rotor blade forms part of a stage of a turbine.
  • 3. The turbine rotor blade of claim 1, wherein the turbine rotor blade is a third stage turbine rotor blade.
  • 4. The turbine rotor blade of claim 1, wherein the airfoil shape lies in an envelope within at least one of +/−5% and/or +/−5% of a chord length in a direction normal to any airfoil surface location.
  • 5. The turbine rotor blade of claim 1, wherein the height of the airfoil is about 10 inches to about 20 inches.
  • 6. The turbine rotor blade of claim 1, wherein the X, Y and Z values are scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil.
  • 7. A turbine rotor blade comprising an airfoil having an uncoated nominal suction-side profile substantially in accordance with suction-side Cartesian coordinate values of X, Y and Z set forth in Table I, wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil in the unit of distance; and wherein X and Y values, when connected by smooth continuing arcs, define airfoil profile sections at each Z value, the airfoil profile sections at the Z values being joined smoothly with one another to form a complete suction-side airfoil shape.
  • 8. The turbine rotor blade of claim 7, wherein the turbine rotor blade forms part of a stage of a turbine.
  • 9. The turbine rotor blade of claim 7, wherein the turbine rotor blade is a third stage turbine rotor blade.
  • 10. The turbine rotor blade of claim 7, wherein the suction-side shape lies in an envelope within at least one of +/−5% and/or +/−5% of a chord length in a direction normal to any airfoil surface location.
  • 11. The turbine rotor blade of claim 7, wherein the height of the airfoil is about 10 inches to about 20 inches.
  • 12. The turbine rotor blade of claim 7, wherein the X, Y, and Z values are scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil with the complete airfoil suction-side shape.
  • 13. A turbine comprising a plurality of turbine rotor blades, each of the turbine rotor blades comprising an 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 I, wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil in the unit of distance; and wherein X and Y values, when connected by smooth continuing arcs, define airfoil profile sections at each Z value, the airfoil profile sections at Z values being joined smoothly with one another to form a complete airfoil shape.
  • 14. The turbine of claim 13, wherein the plurality of turbine rotor blades forms part of a stage of a turbine.
  • 15. The turbine of claim 13, wherein the plurality of turbine rotor blades comprises a plurality of third stage turbine rotor blades.
  • 16. The turbine of claim 13, wherein the airfoil shape lies in an envelope within at least one of +/−5% and/or +/−5% of a chord length in a direction normal to any airfoil surface location.
  • 17. The turbine of claim 13, wherein the height of the airfoil is about 10 inches to about 20 inches.
  • 18. The turbine of claim 12, wherein the X, Y and Z values are scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil.
  • 19. The turbine of claim 12, wherein X represents a distance parallel to a turbine axis of rotation.
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