Patent application title:

Airfoil shape for a turbine nozzle

Publication number:

-

Publication date:
Application number:

10/376,246

Filed date:

2003-03-03

βœ… Patent granted

Patent number:

US 6,887,041 B2

Grant date:

2005-05-03

PCT filing:

-

PCT publication:

-

Examiner:

Ninh H. Nguyen

Adjusted expiration:

2023-09-01

Abstract:

The third stage nozzle has an airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein X and Y values are in inches and define airfoil profile sections at each distance Z and Z is a non-dimensional value from 0 to 1 convertible to Z distances in inches by multiplying the Z values of Table I by a height of the airfoil in inches. The profile sections at the Z distances are joined smoothly with one another to form a complete airfoil shape. The X and Y distances may be scalable to provide a scaled-up or scaled-down airfoil for the nozzle. The nominal airfoil given by the X, Y and Z distances lies within an envelope of Β±0.100 inches.

Inventors:

Assignee:

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Classification:

Description

BACKGROUND OF THE INVENTION

The present invention relates to an airfoil for a nozzle stage of a gas turbine and particularly relates to an airfoil for a third stage nozzle of a gas turbine.

Many specific requirements must be met for each stage of the hot gas path section of a gas turbine in order to meet design goals, including overall improved efficiency and loading. Particularly, the third stage of the turbine sect ion must meet efficiency, heat load, life, throat area and vectoring requirements to meet that goal.

BRIEF DESCRIPTION OF THE INVENTION

In accordance with a preferred embodiment of the present invention, there is provided an airfoil shape for a nozzle stage of a gas turbine, preferably the third stage nozzle, that enhances the performance of the gas turbine. The airfoil shape hereof improves the interaction between various stages in the turbine, affords improved aerodynamic efficiency through the third stage and improves the third stage blade loading. Thus, the profile of each second stage nozzle airfoil which in part defines the hot gas path annulus about the nozzle stage meets the requirements for improved stage efficiency, as well as parts life and manufacturability.

In a preferred embodiment according to 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 Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values of Table I by a height of the airfoil in inches, and wherein the X and Y values are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape.

In a further preferred embodiment according to the present invention, there is provided a turbine nozzle including an airfoil having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values of Table I by a height of the airfoil in inches, and wherein the X and Y values are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape, the X, Y and Z distances being scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil.

In a further preferred embodiment according to the present invention, there is provided a turbine comprising a turbine stage having a plurality of nozzles, each of the nozzles including 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 Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values of Table I by a height of the airfoil in inches, and wherein X and Y values are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a schematic representation of a hot gas path through a gas turbine and which illustrates a third stage nozzle airfoil according to a preferred embodiment of the present invention;

FIG. 2 is a perspective view of three airfoil blades forming portions of the third stage nozzles of the turbine according to the present invention, and including portions of the inner and outer nozzle bands, all as viewed from the trailing edges;

FIG. 3 is a view similar to FIG. 2 as viewed from the leading edges of the blades;

FIG. 4 is a side elevational view of the third stage nozzle airfoil; and

FIG. 5 is a generalized cross-sectional view of the airfoil hereof taken at a location through the third stage nozzle airfoil.

DETAILED DESCRIPTION OF THE INVENTION

Referring now to the drawings, particularly to FIG. 1, there is illustrated a multi-stage turbine section, generally designated 10, for a gas turbine 12 including a plurality of turbine stages. Three stages are illustrated. For example, the first stage comprises a plurality of circumferentially spaced nozzle or blades 14 and buckets 16, the nozzles being circumferentially spaced one from the other and fixed about the axis of the turbine rotor 15. The buckets 16, of course, are mounted on and circumferentially spaced about the rotor 15. A second stage of the turbine 12 is also illustrated, including a plurality of circumferentially spaced nozzles 18 and a plurality of buckets 20 mounted on the rotor 15. A third stage is also illustrated, including a plurality of circumferentially spaced nozzles 22 and buckets 24. It will be appreciated that the nozzles and buckets lie in the turbine's hot gas path indicated by the arrow 26.

Referring to FIGS. 2 and 3, it will be appreciated that the nozzle stages, for example, the third stage nozzle 22, extend generally radially between inner and outer bands 28 and 30, respectively, which also in part define the hot gas path 26 through turbine 12. Typically, the nozzles 22 are provided as either singlets, doublets or triplets with associated inner and outer bands which are secured together to form a circumferential array of nozzles about the axis of rotation of the rotor. The nozzles 22 are preferably provided in triplets as illustrated. It will be appreciated that each nozzle 22 is in the shape of an airfoil or airfoil-shaped blade 32, as illustrated in FIG. 5. That is, each nozzle 22 has a profile at any cross-section between the inner and outer bands 28 and 30, respectively, in the shape of an airfoil 32. In this preferred embodiment, there are sixty-six (66) nozzle blades in the shape of airfoils 32 which, together with the inner and outer bands 28 and 30, constitute the nozzles 22 of the third stage of the turbine.

To define the airfoil shape of the third stage nozzle airfoil which optimizes the guided hot gas turning and overall efficiency of the turbine, there are a unique set or loci of points in space that meet the stage requirements and can be manufactured. This unique loci of points meets the requirements for nozzle loading and stage efficiency and are arrived at by iteration between aerodynamics and nozzle mechanical loading, enabling the turbine to run in an efficient, safe and smooth manner. The loci which defines the nozzle airfoil profile comprises a set of 600 points. A Cartesian coordinate system of X, Y and Z values given in Table I below defines the profile of each nozzle airfoil. The values for the X and Y coordinates are set forth in inches in Table I, although other units of dimensions may be used when the values are appropriately converted. The Z values set forth in Table I are non-dimensional values from 0 to 1. To convert each Z value to a Z distance in inches, the non-dimensional Z values given in Table I are multiplied by a constant in inches, e.g., the height of the nozzle airfoil. The airfoil height H may be measured from a point at the intersection of the trailing edge 38 of the nozzle 22 and the outer band 30 along a radius which intersects the inner band aft of the trailing edge 38 at 37 (FIG. 4) and is about 8.125 inches. The preferred distance D (FIG. 4) from the point of intersection 35 of each nozzle of the third stage from the rotor axis 34 is 28.930 inches The coordinate system has orthogonally related X, Y and Z axes with the Z axis extending perpendicular to a plane normal to a plane containing the X and Y values. The Y axis lies parallel to the turbine rotor centerline, i.e., the rotary axis 34 and is positive forward to aft. The Z direction is negative in a radial inward direction and the X direction is negative in a tangential counterclockwise direction as viewed in the aft direction.

By defining X and Y coordinate values at selective locations in a Z direction normal to the X, Y plane, the profile of the airfoil at each Z distance 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 of the various surface locations between the distances Z are determined by smoothly connecting the adjacent cross-sections to one another to form the airfoil. The values set forth in Table I represent the airfoil profiles at ambient, non-operating or non-hot conditions and are for an uncoated airfoil. The sign convention assigns a positive value to Z values and positive and negative values for X and Y coordinates as typically used in the Cartesian coordinate system.

The Table I values are generated and shown to three decimal places for determining the profile of the nozzle airfoil. There are typical manufacturing tolerances, as well as coatings, which must be accounted for in the actual profile of the airfoil. Accordingly, the values for the profile given in Table I are for a nominal airfoil. Thus, the actual profile of the nozzle airfoil may lie in a range of variations between measured points on an airfoil surface and their ideal position as listed in Table I. The design is robust to this variation to the extent that mechanical and aerodynamic functions are not impaired. It will be therefore be appreciated that Β± typical manufacturing tolerances, i.e., Β± values, including any coating thicknesses, are additive to the X and Y values given in Table I below. Accordingly, a distance of Β±0.100 inches in a direction normal to any surface location along the airfoil profile defines an airfoil profile envelope for this particular third stage nozzle airfoil.

The coordinate values are given below in Table I for the preferred nominal profile envelope:

TABLE I
POINTS X Y Z
1 0.176 0.469 0.535
2 0.534 1.787 0.845
3 1.063 0.813 1.000
4 0.195 0.433 0.690
5 0.652 1.635 0.690
6 0.966 0.790 0.690
7 0.859 0.193 0.690
8 0.894 0.288 0.690
9 0.968 0.688 0.690
10 0.647 βˆ’0.152 0.690
11 0.038 1.331 0.690
12 0.167 0.839 0.690
13 0.855 βˆ’0.055 0.845
14 0.919 0.710 0.535
15 0.854 1.313 1.000
16 0.250 βˆ’0.030 0.845
17 0.674 1.584 1.000
18 0.995 1.019 1.000
19 0.803 0.233 0.535
20 0.331 βˆ’0.232 0.535
21 0.172 0.370 0.535
22 0.534 1.751 1.000
23 0.273 0.449 1.000
24 0.076 1.182 1.000
25 0.373 βˆ’0.196 1.000
26 0.214 0.283 0.845
27 0.118 1.011 0.845
28 0.901 0.040 0.845
29 0.193 0.535 0.690
30 0.413 βˆ’0.296 1.000
31 0.064 1.244 0.535
32 0.798 1.406 1.000
33 0.272 βˆ’0.133 0.845
34 0.765 0.466 0.690
35 0.944 0.992 0.690
36 0.922 0.386 0.690
37 0.573 βˆ’0.223 0.690
38 βˆ’0.047 1.516 0.690
39 0.202 0.026 0.690
40 0.196 0.332 0.699
41 0.939 0.138 0.845
42 0.509 βˆ’0.156 0.535
43 0.158 0.862 0.535
44 0.620 1.628 0.535
45 0.147 0.977 1.000
46 0.955 1.069 0.845
47 0.991 0.341 0.845
48 0.658 βˆ’0.296 0.845
49 0.235 0.074 0.845
50 0.158 0.805 0.845
51 1.122 0.275 1.000
52 0.731 1.542 0.845
53 1.109 0.167 1.000
54 0.307 βˆ’0.231 0.845
55 0.159 0.173 0.535
56 0.178 0.873 1.000
57 0.893 1.189 0.690
58 0.958 0.586 0.690
59 0.711 βˆ’0.074 0.690
60 0.105 1.138 0.690
61 0.173 0.701 0.845
62 0.521 1.791 0.690
63 0.121 1.056 0.535
64 0.884 1.267 0.845
65 1.006 0.445 0.845
66 0.160 βˆ’0.024 0.535
67 0.029 1.336 0.535
68 0.738 1.496 1.000
69 0.799 βˆ’0.144 0.845
70 0.481 βˆ’0.380 1.000
71 1.086 0.061 1.000
72 1.120 0.492 1.000
73 0.206 0.768 1.000
74 βˆ’0.010 1.411 0.845
75 0.242 βˆ’0.173 0.690
76 0.980 0.967 0.845
77 0.759 0.145 0.535
78 0.495 1.780 0.535
79 0.185 0.597 0.845
80 0.306 0.234 1.000
81 0.142 0.959 0.535
82 0.588 1.714 0.690
83 0.488 βˆ’0.278 0.690
84 0.198 0.128 0.690
85 0.179 0.738 0.690
86 0.677 1.548 0.535
87 0.462 βˆ’0.360 0.845
88 βˆ’0.054 1.506 0.845
89 0.095 1.151 0.535
90 0.608 1.669 1.000
91 0.035 1.283 1.000
92 1.011 0.760 0.845
93 0.350 βˆ’0.089 1.000
94 0.872 βˆ’0.312 1.000
95 1.089 0.707 1.000
96 0.910 0.612 0.535
97 0.559 1.706 0.535
98 0.196 0.492 0.845
99 0.335 0.018 1.000
100 0.788 1.453 0.845
101 βˆ’0.110 1.575 1.000
102 0.711 1.552 0.690
103 0.958 0.891 0.690
104 0.944 0.486 0.690
105 0.389 βˆ’0.297 0.690
106 0.253 0.556 1.000
107 0.074 1.235 0.690
108 0.151 0.940 0.690
109 0.906 1.217 1.000
110 1.014 0.550 0.845
111 0.205 0.388 0.845
112 0.953 1.119 1.000
113 0.841 0.325 0.535
114 βˆ’0.104 1.600 0.535
115 0.291 0.341 1.000
116 0.113 1.080 1.000
117 0.670 1.627 0.845
118 0.969 0.238 0.845
119 0.565 βˆ’0.348 0.845
120 0.224 0.178 0.845
121 0.140 0.909 0.845
122 βˆ’0.102 1.600 0.845
123 0.240 βˆ’0.199 0.535
124 βˆ’0.095 1.605 0.690
125 0.166 0.272 0.535
126 0.029 1.313 0.848
127 0.786 βˆ’0.377 1.000
128 1.016 0.655 0.845
129 0.813 1.376 0.690
130 0.922 1.091 0.690
131 0.768 0.011 0.690
132 0.298 βˆ’0.256 0.690
133 0.214 βˆ’0.075 0.690
134 0.196 0.230 0.690
135 0.175 0.666 0.535
136 0.733 βˆ’0.025 0.845
137 0.871 0.419 0.535
138 0.649 βˆ’0.018 0.535
139 0.583 βˆ’0.091 0.535
140 0.155 0.075 0.535
141 0.169 0.764 0.535
142 0.923 1.169 0.845
143 0.321 0.126 1.000
144 0.579 βˆ’0.425 1.000
145 1.032 0.917 1.000
146 1.125 0.383 1.000
147 0.063 1.214 0.845
148 0.668 βˆ’0.420 1.000
149 βˆ’0.056 1.514 0.535
150 0.894 0.514 0.535
151 0.604 1.709 0.845
152 1.005 βˆ’0.141 1.000
153 0.856 1.284 0.690
154 0.818 0.100 0.690
155 0.130 1.040 0.690
156 0.188 0.637 0.690
157 0.426 βˆ’0.209 0.535
158 βˆ’0.002 1.424 0.690
159 0.093 1.113 0.845
160 0.368 βˆ’0.316 0.845
161 βˆ’0.012 1.426 0.535
162 1.052 βˆ’0.042 1.000
163 0.999 0.864 0.845
164 0.707 0.061 0.535
165 0.184 βˆ’0.119 0.535
166 0.178 0.567 0.535
167 0.231 0.662 1.000
168 βˆ’0.010 1.382 1.000
169 1.108 0.600 1.000
170 0.946 βˆ’0.231 1.000
171 βˆ’0.058 1.480 1.000
172 0.839 1.361 0.845
173 βˆ’1.749 3.192 1.000
174 βˆ’1.775 3.137 0.535
175 0.220 2.051 1.000
176 βˆ’0.532 2.140 0.535
177 βˆ’0.464 2.090 0.690
178 βˆ’0.266 1.858 0.690
179 βˆ’1.234 2.738 1.000
180 βˆ’0.700 2.326 0.845
181 βˆ’1.914 3.150 0.845
182 βˆ’0.293 2.430 0.845
183 βˆ’1.311 2.975 0.845
184 βˆ’1.454 3.024 0.690
185 βˆ’1.085 2.852 0.690
186 βˆ’0.791 2.681 0.535
187 βˆ’0.531 2.540 0.535
188 βˆ’1.234 2.899 0.535
189 βˆ’1.058 2.586 0.535
190 βˆ’1.958 3.212 0.535
191 βˆ’1.866 3.175 0.535
192 βˆ’0.148 1.692 0.690
193 βˆ’0.760 2.370 0.690
194 βˆ’1.468 2.860 0.535
195 0.130 2.112 0.535
196 βˆ’2.050 3.319 1.000
197 βˆ’1.354 3.010 1.000
198 βˆ’0.679 2.659 1.000
199 βˆ’0.037 2.252 1.000
200 βˆ’0.288 1.848 1.000
201 βˆ’0.805 2.404 1.000
202 βˆ’1.414 2.860 1.000
203 βˆ’2.069 3.246 1.000
204 0.136 2.120 1.000
205 βˆ’1.145 2.675 1.000
206 βˆ’0.382 2.485 0.845
207 0.283 1.987 0.535
208 βˆ’0.422 2.019 1.000
209 βˆ’0.967 2.770 0.535
210 βˆ’1.681 3.005 0.690
211 βˆ’1.406 3.020 0.845
212 βˆ’0.329 1.938 0.690
213 βˆ’0.942 2.527 0.845
214 βˆ’0.157 1.684 0.535
215 0.051 2.171 0.535
216 βˆ’1.693 3.149 0.845
217 βˆ’0.108 2.306 0.690
218 βˆ’1.828 3.185 0.690
219 βˆ’0.902 2.761 0.690
220 0.376 1.934 0.690
221 βˆ’0.704 2.635 0.535
222 βˆ’0.901 2.467 0.535
223 βˆ’1.164 2.679 0.690
224 βˆ’1.958 3.212 0.535
225 βˆ’0.211 1.779 0.845
226 βˆ’0.397 1.997 0.535
227 βˆ’1.731 3.047 0.845
228 βˆ’0.404 2.028 0.845
229 βˆ’1.550 2.940 0.845
230 βˆ’1.551 3.103 1.000
231 βˆ’0.463 2.069 0.535
232 βˆ’0.110 2.284 0.535
233 0.057 2.198 0.845
274 βˆ’0.645 2.257 1.000
235 βˆ’0.870 2.764 1.000
238 βˆ’0.860 2.462 0.845
237 βˆ’1.879 3.141 1.000
238 βˆ’1.948 3.153 0.690
239 0.306 2.004 0.845
240 βˆ’1.081 2.620 0.690
241 βˆ’2.017 3.261 0.690
242 βˆ’1.886 3.231 0.845
243 βˆ’0.193 2.362 0.690
244 βˆ’1.361 2.982 0.690
245 βˆ’0.722 2.667 0.690
246 0.222 2.067 0.690
247 βˆ’1.056 2.814 0.535
248 βˆ’1.144 2.857 0.535
249 βˆ’1.684 3.099 0.535
250 βˆ’0.749 2.341 0.535
251 βˆ’1.301 2.754 0.535
252 βˆ’1.894 3.107 0.535
253 βˆ’0.395 2.015 0.690
254 βˆ’0.564 2.590 0.845
255 0.427 1.852 0.535
256 βˆ’0.272 1.865 0.845
257 βˆ’0.779 2.395 0.845
258 βˆ’0.332 1.922 0.535
259 βˆ’0.276 2.390 0.535
260 βˆ’0.748 2.691 0.845
261 βˆ’0.115 2.317 0.845
262 0.461 1.862 0.845
263 βˆ’1.058 2.610 1.000
264 βˆ’1.691 3.032 1.000
265 βˆ’1.949 3.277 1.000
266 βˆ’0.205 1.776 0.690
267 0.225 2.071 0.845
268 βˆ’1.637 2.962 0.535
269 βˆ’1.552 2.911 0.535
270 βˆ’0.125 2.315 1.000
271 βˆ’1.769 3.055 0.690
272 0.385 1.935 0.845
273 βˆ’0.361 2.441 0.535
274 βˆ’1.062 2.865 1.000
275 βˆ’1.248 2.736 0.690
276 βˆ’0.999 2.560 0.690
277 βˆ’0.279 2.416 0.690
278 βˆ’0.367 2.468 0.690
279 βˆ’1.547 3.065 0.690
280 βˆ’0.454 2.520 0.690
281 βˆ’0.879 2.726 0.535
282 βˆ’0.617 2.588 0.535
283 βˆ’1.503 3.021 0.535
284 βˆ’1.138 2.643 0.535
285 βˆ’1.722 3.011 0.535
286 βˆ’0.838 2.435 0.690
287 0.142 2.135 0.845
288 βˆ’0.494 2.101 1.000
289 βˆ’0.154 1.691 0.845
290 βˆ’0.622 2.255 0.845
291 βˆ’1.197 2.713 0.845
292 βˆ’1.822 3.099 0.845
293 βˆ’1.256 2.963 1.000
294 βˆ’0.585 2.605 1.000
295 0.051 2.187 1.000
296 βˆ’0.934 2.789 0.845
297 βˆ’0.353 1.935 1.000
298 βˆ’0.888 2.475 1.000
299 βˆ’2.166 3.296 1.000
300 βˆ’0.212 1.765 0.535
301 βˆ’1.461 2.885 0.845
302 βˆ’1.284 2.771 0.845
303 βˆ’1.159 2.914 1.000
304 βˆ’2.038 3.201 0.690
305 βˆ’1.216 2.930 0.845
306 0.142 2.130 0.690
307 βˆ’1.984 3.271 0.845
308 βˆ’0.993 2.807 0.690
309 0.300 2.002 0.690
310 βˆ’0.446 2.491 0.535
311 βˆ’0.675 2.276 0.535
312 βˆ’1.413 2.981 0.535
313 βˆ’0.535 2.163 0.690
314 βˆ’0.608 2.234 0.690
315 βˆ’1.858 3.105 0.690
316 βˆ’0.306 2.435 1.000
317 βˆ’0.683 2.303 0.690
318 βˆ’0.724 2.332 1.000
319 βˆ’1.372 2.829 0.845
320 βˆ’0.841 2.741 0.845
321 βˆ’1.026 2.590 0.845
322 βˆ’1.640 2.994 0.845
323 βˆ’2.150 3.360 1.000
324 βˆ’0.774 2.712 1.000
325 βˆ’0.029 2.228 0.535
326 0.460 1.830 1.000
327 βˆ’0.225 1.760 1.000
328 βˆ’1.323 2.800 1.000
329 βˆ’1.974 3.194 1.000
330 βˆ’0.547 2.182 0.845
331 βˆ’0.166 1.669 1.000
332 βˆ’1.505 2.919 1.000
333 βˆ’2.081 3.310 0.845
334 βˆ’0.398 2.493 1.000
335 βˆ’1.333 2.792 0.690
336 βˆ’1.419 2.847 0.690
337 βˆ’1.790 3.191 0.845
338 0.060 2.191 0.690
339 βˆ’1.177 2.898 0.690
340 βˆ’1.501 3.064 0.845
341 βˆ’0.812 2.715 0.690
342 0.450 1.864 0.690
343 βˆ’1.323 2.940 0.535
344 βˆ’0.824 2.405 0.535
345 βˆ’1.384 2.808 0.535
346 βˆ’1.981 3.153 0.535
347 βˆ’2.017 3.261 0.690
348 βˆ’1.593 2.953 0.690
349 βˆ’0.918 2.498 0.690
350 βˆ’2.081 3.310 0.845
351 βˆ’0.474 2.106 0.845
352 0.382 1.906 1.000
353 0.207 2.050 0.535
354 βˆ’0.473 2.538 0.845
355 βˆ’0.336 1.948 0.845
356 βˆ’1.650 3.148 1.000
357 βˆ’0.966 2.815 1.000
358 βˆ’0.193 2.338 0.535
359 0.356 1.921 0.535
360 βˆ’0.656 2.641 0.845
361 βˆ’0.028 2.258 0.845
362 βˆ’0.215 2.376 1.000
363 βˆ’1.784 3.087 1.000
364 βˆ’2.100 3.248 0.845
365 βˆ’0.568 2.180 1.000
366 βˆ’1.028 2.837 0.845
367 βˆ’0.979 2.527 0.535
368 βˆ’1.452 3.057 1.000
369 βˆ’1.506 2.901 0.690
370 βˆ’1.597 3.107 0.845
371 βˆ’1.922 3.223 0.690
372 βˆ’0.023 2.249 0.690
373 βˆ’1.269 2.939 0.690
374 βˆ’1.640 3.106 0.690
375 βˆ’0.632 2.619 0.690
376 βˆ’1.734 3.146 0.690
377 0.302 1.980 1.000
378 βˆ’0.602 2.209 0.535
379 βˆ’1.593 3.060 0.535
380 βˆ’1.219 2.699 0.535
381 βˆ’1.808 3.059 0.535
382 βˆ’0.543 2.570 0.690
383 βˆ’2.006 3.200 0.845
384 βˆ’0.204 2.374 0.845
385 βˆ’1.849 3.235 1.000
386 βˆ’0.271 1.845 0.535
387 βˆ’0.491 2.550 1.000
388 βˆ’0.972 2.543 1.000
389 βˆ’1.598 2.976 1.000
390 βˆ’2.150 3.360 1.000
391 βˆ’1.111 2.652 0.845
392 βˆ’1.122 2.884 0.845
393 βˆ’0.135 0.100 0.000
394 0.026 0.318 0.268
395 0.502 0.272 0.000
396 βˆ’0.149 1.128 0.000
397 0.795 0.643 0.268
398 0.015 0.964 0.268
399 0.546 0.346 0.000
400 0.470 1.671 0.268
401 0.315 βˆ’0.099 0.268
402 0.649 0.207 0.268
403 0.035 0.688 0.268
404 0.000 1.055 0.268
405 0.627 1.443 0.268
406 0.780 0.551 0.268
407 0.392 0.139 0.000
408 0.423 1.568 0.000
409 0.584 0.424 0.000
410 βˆ’0.174 0.353 0.000
411 0.817 1.287 0.535
412 0.591 1.267 0.000
413 0.410 1.741 0.268
414 0.000 0.000 0.000
415 0.473 βˆ’0.005 0.268
416 0.540 0.059 0.268
417 0.020 0.133 0.268
418 βˆ’0.041 1.236 0.268
419 0.758 0.462 0.268
420 0.851 1.195 0.535
421 0.776 1.377 0.535
422 0.556 1.346 0.000
423 0.516 1.422 0.000
424 βˆ’0.237 1.462 0.000
425 0.708 1.277 0.268
426 0.314 1.702 0.000
427 0.619 1.185 0.000
428 0.638 0.588 0.000
429 0.326 0.084 0.000
430 βˆ’0.165 0.181 0.000
431 βˆ’0.134 0.783 0.000
432 βˆ’0.208 1.360 0.000
433 0.693 0.289 0.268
434 0.065 βˆ’0.043 0.268
435 0.036 0.595 0.268
436 βˆ’0.099 1.411 0.268
437 0.032 0.780 0.268
438 0.740 1.190 0.268
439 0.729 1.464 0.535
440 0.901 1.004 0.535
441 βˆ’0.157 0.525 0.000
442 0.579 1.522 0.268
443 0.171 0.009 0.000
444 0.804 0.827 0.268
445 0.451 0.202 0.000
446 βˆ’0.147 0.611 0.000
447 βˆ’0.164 1.213 0.000
448 βˆ’0.068 1.324 0.268
449 0.729 0.374 0.268
450 0.030 0.041 0.268
451 0.766 1.101 0.268
452 0.255 βˆ’0.118 0.268
453 βˆ’0.175 1.580 0.268
454 0.251 0.040 0.000
455 0.666 0.758 0.000
456 0.472 1.496 0.000
457 0.667 0.931 0.000
458 0.086 βˆ’0.006 0.000
459 βˆ’0.167 0.439 0.000
460 βˆ’0.139 1.042 0.000
461 0.788 1.011 0.268
462 0.670 1.361 0.268
463 0.598 0.130 0.268
464 βˆ’0.018 1.148 0.268
465 0.670 0.844 0.000
466 0.798 0.919 0.268
467 βˆ’0.132 0.870 0.000
468 0.370 1.636 0.000
469 0.642 1.102 0.000
470 0.614 0.505 0.000
471 βˆ’0.078 0.036 0.000
472 βˆ’0.134 0.956 0.000
473 βˆ’0.175 0.267 0.000
474 0.022 0.226 0.268
475 0.879 1.101 0.535
476 0.254 1.765 0.000
477 0.655 0.672 0.000
478 0.658 1.017 0.000
479 βˆ’0.139 0.697 0.000
480 βˆ’0.184 1.297 0.000
481 0.526 1.598 0.268
482 0.398 βˆ’0.059 0.268
483 βˆ’0.269 1.542 0.000
484 0.803 0.735 0.268
485 0.134 βˆ’0.103 0.268
486 0.034 0.503 0.268
487 0.030 0.410 0.268
488 βˆ’0.135 1.496 0.268
489 0.025 0.872 0.268
490 0.914 0.907 0.535
491 0.920 0.808 0.535
492 βˆ’0.598 2.047 0.000
493 βˆ’1.532 2.809 0.000
494 βˆ’0.871 2.561 0.000
495 βˆ’0.355 2.245 0.000
496 βˆ’1.402 2.851 0.000
497 βˆ’0.655 2.111 0.000
498 βˆ’0.003 2.110 0.268
499 βˆ’1.112 2.584 0.268
500 βˆ’1.656 2.934 0.268
501 βˆ’0.615 2.170 0.268
502 βˆ’0.218 1.661 0.268
503 βˆ’0.306 1.620 0.000
504 βˆ’1.246 2.616 0.000
505 0.129 1.883 0.000
506 βˆ’1.388 2.715 0.000
507 βˆ’1.790 3.041 0.000
508 βˆ’0.946 2.604 0.000
509 βˆ’0.501 2.339 0.000
510 βˆ’0.004 1.994 0.000
511 βˆ’0.078 2.164 0.268
512 βˆ’0.964 2.473 0.268
513 βˆ’1.362 2.896 0.268
514 βˆ’0.787 2.600 0268
515 βˆ’0.309 2.319 0.268
516 βˆ’0.820 2.357 0.268
517 βˆ’1.498 2.838 0.268
518 βˆ’1.790 3.041 0.000
519 βˆ’0.317 1.818 0.268
520 βˆ’0.626 2.509 0.268
521 βˆ’1.826 2.992 0.000
522 βˆ’1.445 2.936 0.268
523 βˆ’0.891 2.416 0.268
524 βˆ’0.391 1.771 0.000
525 βˆ’0.777 2.234 0.000
526 βˆ’1.753 2.946 0.000
527 βˆ’0.648 2.429 0.000
528 βˆ’1.529 2.975 0.268
529 βˆ’0.154 2.217 0.268
530 βˆ’1.341 2.739 0.268
531 βˆ’1.896 3.072 0.268
532 βˆ’0.428 1.965 0.268
533 βˆ’0.231 2.269 0.268
534 βˆ’1.557 2.929 0.000
535 βˆ’1.249 2.771 0.000
536 βˆ’1.106 2.514 0.000
537 βˆ’0.283 2.197 0.000
538 0.193 1.825 0.000
539 0.070 2.054 0.268
540 βˆ’1.697 3.052 0.268
541 βˆ’1.114 2.773 0.268
542 βˆ’1.188 2.637 0.268
543 βˆ’1.736 2.980 0.268
544 βˆ’1.634 2.967 0.000
545 βˆ’0.750 2.297 0.268
546 βˆ’0.550 2.104 0.268
547 βˆ’0.868 2.644 0.268
548 βˆ’0.542 1.981 0.000
549 βˆ’0.971 2.406 0.000
550 βˆ’1.460 2.762 0.000
551 βˆ’0.797 2.517 0.000
552 βˆ’0.387 2.368 0.268
553 βˆ’0.905 2.350 0.000
554 βˆ’1.279 2.855 0.268
555 0.281 1.873 0.268
556 βˆ’1.037 2.529 0.268
557 βˆ’1.577 2.886 0.268
558 βˆ’1.712 3.005 0.000
559 βˆ’0.950 2.687 0.268
560 βˆ’0.681 2.234 0.268
561 βˆ’0.266 1.741 0.268
562 βˆ’0.466 2.416 0.268
563 βˆ’1.782 3.090 0.268
564 βˆ’0.438 1.843 0.000
565 βˆ’0.840 2.293 0.000
566 βˆ’1.316 2.666 0.000
567 βˆ’0.574 2.384 0.000
568 βˆ’0.072 2.047 0.000
569 βˆ’0.489 1.913 0.000
570 0.212 1.936 0.268
571 βˆ’0.706 2.555 0.268
572 βˆ’0.142 2.098 0.000
573 βˆ’1.022 2.646 0.000
574 βˆ’0.546 2.463 0.268
575 βˆ’1.419 2.789 0.268
576 βˆ’1.867 3.127 0.268
577 βˆ’1.328 2.811 0.000
578 βˆ’1.867 3.127 0.268
579 βˆ’1.097 2.688 0.000
580 βˆ’0.371 1.893 0.268
581 βˆ’1.038 2.461 0.000
582 βˆ’1.173 2.730 0.000
583 βˆ’1.605 2.856 0.000
584 βˆ’0.347 1.696 0.000
585 0.142 1.996 0.268
586 βˆ’1.176 2.565 0.000
587 βˆ’1.679 2.901 0.000
588 0.063 1.940 0.000
589 βˆ’0.212 2.148 0.000
590 βˆ’0.722 2.474 0.000
591 0.347 1.809 0.268
592 βˆ’1.613 3.014 0.268
593 βˆ’1.032 2.730 0.268
594 βˆ’0.715 2.174 0.000
565 βˆ’1.264 2.689 0.268
596 βˆ’1.816 3.026 0.268
597 βˆ’1.479 2.890 0.000
598 βˆ’0.488 2.036 0.268
599 βˆ’0.428 2.292 0.000
600 βˆ’1.196 2.814 0.268

It will also be appreciated that the airfoil profile disclosed in the above table 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 section shape remains unchanged. A scaled version of the coordinates in Table I is represented by X, Y and Z distances in inches, multiplied or divided by a constant 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 including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values of Table I by a height of the airfoil in inches, and wherein the X and Y values are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape.

2. A turbine nozzle according to claim 1 forming part of a third stage of a turbine.

3. A turbine nozzle according to claim 1 wherein said airfoil shape lies in an envelope within Β±0.100 inches in a direction normal to any airfoil surface location therealong.

4. A turbine nozzle according to claim 1 wherein each said airfoil shape lies in an envelope within Β±0.100 inches in a direction normal to any airfoil surface location therealong.

5. A turbine nozzle including an airfoil having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values of Table I by a height of the airfoil in inches, and wherein the X and Y values are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape, the X, Y and Z distances being scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil.

6. A turbine nozzle according to claim 5 forming part of a third stage of a turbine.

7. A turbine comprising a turbine stage having a plurality of nozzles, each of said nozzles including an airfoil having an airfoil shape, said airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values of Table I by a height of the airfoil in inches, and wherein X and Y values are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape.

8. A turbine according to claim 7 wherein the turbine nozzles comprises part of a third stage of the turbine.

9. A turbine according to claim 8 wherein the turbine stage has 66 nozzles and the coordinate value Y extends parallel to an axis of rotation of the turbine.

10. A turbine according to claim 7 wherein each said airfoil shape lies in an envelope within Β±0.100 inches in a direction normal to any airfoil surface location therealong.

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