Patent application title:

Airfoil shape and sidewall flowpath surfaces for a turbine nozzle

Publication number:

US20060024159A1

Publication date:
Application number:

10/900,200

Filed date:

2004-07-28

βœ… Patent granted

Patent number:

US 7,001,147 B1

Grant date:

2006-02-21

PCT filing:

-

PCT publication:

-

Examiner:

Christopher Verdier

Adjusted expiration:

2024-07-28

Abstract:

A turbine nozzle includes airfoil and sidewall surfaces. The airfoil and sidewall surfaces have profiles substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Tables I-IV for the pressure and suction sides of the airfoil, and the outer and inner sidewall surfaces, respectively. The X, Y and Z values are distances in inches. The X and Y values for the airfoil, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z. The profile sections at the Z distances are joined smoothly with one another to form a complete airfoil shape. The X, Y and Z values of Tables III and IV define the outer and inner sidewall surfaces, respectively, of the gas flowpath.

Inventors:

Assignee:

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Classification:

F01D5/141 »  CPC main

Blades; Blade-carrying members ; Heating, heat-insulating, cooling or antivibration means on the blades or the members; Blades; Form or construction Shape, i.e. outer, aerodynamic form

F05D2250/70 »  CPC further

Geometry Shape

F05D2250/74 »  CPC further

Geometry; Shape given by a set or table of xyz-coordinates

F01D1/02 IPC

Non-positive-displacement machines or engines, e.g. steam turbines with stationary working-fluid guiding means and bladed or like rotor, e.g. multi-bladed impulse steam turbines

F01D9/04 IPC

Stators; Nozzles; Nozzle boxes; Stator blades; Guide conduits, e.g. individual nozzles forming ring or sector

Description

BACKGROUND OF THE INVENTION

The present invention relates to a nozzle stage of a gas turbine and particularly relates to a first stage nozzle airfoil profile and sidewall flowpath surfaces.

In the development of an advanced gas turbine, many specific requirements must be met for each stage of the hot gas path section of the turbine in order to meet design goals. Particularly, and in addition to other goals, the first stage of the turbine must meet efficiency, heat load, life, throat area and vectoring requirements to meet those goals. Conventional nozzle designs do not allow for the added benefit of advanced three-dimensional aerodynamics that improve the use of the combustion gases to improve blade loading sufficiently to meet that goal.

BRIEF DESCRIPTION OF THE INVENTION

In accordance with the preferred embodiment of the present invention, there is provided unique nozzle flowpath surfaces, specifically an airfoil suction-side surface, an airfoil pressure side surface, an inner sidewall surface and an outer sidewall surface for the nozzle of a turbine stage, preferably the first stage of a gas turbine. Each nozzle flowpath surface is defined by a unique loci of points to achieve the necessary efficiency whereby improved turbine performance is obtained. The suction-side and pressure-side surfaces join smoothly at the airfoil leading and trailing edges.

In accordance with a preferred embodiment of the present invention, there is provided a turbine nozzle having a pressure side airfoil surface, the pressure side airfoil surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table I, wherein the Z values are drop dimensions from a reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by smooth continuing arcs, define pressure side airfoil surface profile sections at each distance Z from the origin, the profile sections at the Z distances being joined smoothly with one another to form a pressure side airfoil surface shape.

In accordance with a further embodiment of the present invention, there is provided a turbine nozzle having a suction side airfoil surface, the suction side airfoil surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table II, wherein the Z values are drop dimensions from a reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by smooth continuing arcs, define suction side airfoil surface profile sections at each distance Z from the origin, the profile sections at the Z distances being joined smoothly with one another to form a suction side airfoil surface shape.

In accordance with a further embodiment of the present invention, there is provided a turbine nozzle having an outer sidewall surface, the outer sidewall surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table III, wherein the Z values are drop dimensions from a reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by smooth continuing arcs at each distance Z, define an outer sidewall surface shape.

In accordance with a further embodiment of the present invention, there is provided a turbine nozzle having an inner sidewall surface, the inner sidewall surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table IV, wherein the Z values are drop dimensions from a reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by smooth continuing arcs at each distance Z, define an inner sidewall surface shape.

In accordance with a further embodiment of the present invention, there is provided a turbine comprising a turbine nozzle having a plurality of airfoils having an airfoil shape, each airfoil having pressure and suction side airfoil surfaces defining a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Tables I and II, wherein the Z values are drop dimensions from a reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine, and wherein the X and Y values, 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 an airfoil shape.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a schematic illustration of a turbine having a first stage turbine nozzle employing the airfoil and nozzle wall surfaces according to a preferred aspect of the present invention;

FIG. 2 is a frontal leading edge perspective view of a nozzle stage segment illustrating an airfoil pressure side surface, portions of the airfoil suction side surface, and portions of inner and outer wall surfaces in accordance with a preferred aspect of the present invention;

FIG. 3 is a suction side view of the first stage nozzle airfoil and wall surfaces;

FIG. 4 is an aft view of the first stage turbine nozzle illustrating point distributions on the airfoil suction wall surfaces;

FIG. 5 is a frontal view of the first stage turbine nozzle illustrating point distributions on the airfoil suction side;

FIG. 6 is a view looking along a Z axis and taken generally about on line 6-6 in FIG. 5 illustrating the outer sidewall flowpath surface and airfoil profile; and

FIG. 7 is a view looking along the Z axis and taken generally about on line 7-7 in FIG. 5 illustrating the inner sidewall flowpath surface and airfoil profile.

DETAILED DESCRIPTION OF THE INVENTION

Referring now to FIG. 1, there is illustrated a portion of a turbine generally designated 10. Turbine 10 includes a rotor 12 mounting first, second and third stage buckets 14, 16 and 18 respectively. Stator vanes 20, 22 and 24 also form part of the respective first, second and third stages of the turbine. It will be appreciated that a three-stage turbine is accordingly illustrated having a gas flow path indicated by the arrow 24 in FIG. 1.

Referring to FIGS. 2-4, there is illustrated a nozzle stage segment generally designated 26 mounting an airfoil or vane 28 extending between inner and outer platforms or sidewalls 30 and 32 respectively. The nozzle segment 26 comprises one of a plurality of segments forming the first stage nozzle 20 and which segments 26 are disposed in a circumferential array thereof in the annular gas flow path 25. It will also be appreciated that each nozzle segment 26 may include one, two or more nozzle airfoils, e.g. vanes 28, extending between the sidewalls 30 and 32 respectively. In the specific first stage nozzle arrangement illustrated, there is preferably a single nozzle vane 28 per segment. Also, there are preferably forty nozzle segments and hence forty nozzle vanes or airfoils in the first stage nozzle 20. The airfoil 28 has a profile including a three-dimensional compound curvature with pressure and suction sidewalls 36 and 34, respectively, illustrated in FIGS. 2 and 3 as well as respective leading and trailing edges 40 and 42. The outer and inner sidewalls 44 and 46, respectively, are conical surfaces which define radial flowpath surfaces containing the gaspath flow in a radial direction.

A Cartesian coordinate system of X, Y and Z values are given in Tables I-II below and define the nominal profile of the respective pressure and suction sidewall surfaces of the nozzle airfoil 28. Similar X, Y and Z coordinate values for the respective outer and inner sidewall surfaces 44 and 46 are given in Tables III and IV. The coordinate values for the X, Y and Z coordinates are set forth in inches in Tables I-IV although other units of dimensions may be used. The Z values set forth in the Tables are drop dimensions from a point on the flowpath along the nozzle airfoil stacking axis (a specific axis or line perpendicular to engine rotation centerline). The Cartesian 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. By defining X and Y coordinate values at selected locations in a Z direction normal to the X, Y plane, the profile of the surfaces can be ascertained. By connecting the X and Y values for the airfoil with smooth continuing arcs, each airfoil profile section at each distance Z is fixed. The airfoil surface profiles of the various surface locations between the distances Z are determined by smoothly connecting the adjacent profile sections to one another to form airfoil surfaces. Similarly, the X, Y and Z coordinate values for the inner and outer sidewalls define a series of points which may be connected to one another by smooth continuous arcs which, when filled in with continuous surfaces areas, define the shape or profile of the inner and outer sidewall surfaces in part defining the flowpath. These values represent the nozzle flowpath surface profiles at ambient, non-operating or non-hot conditions and are for the coated finished nozzle flowpath. The sign convention is illustrated in FIG. 4 and is as typically used in Cartesian coordinate systems.

The Cartesian coordinate values in Tables I-IV are generated and shown to three decimal places for determining the profile of the nozzle flowpath surfaces. There are typical manufacturing tolerances as well as coating thickness tolerances, which must be accounted for with the actual flowpath surfaces. Accordingly, the values for the profiles given in Tables I-IV are for nominal flowpath surfaces. Accordingly, a distance of Β±0.105 inches in a direction normal to any surface location along the flowpath profile defines the flowpath surface envelopes for this particular nozzle flowpath design and turbine.

The coordinate values given in Table I below define the preferred nominal profile of the pressure sidewall surface 36 of airfoil 28:

TABLE I
Airfoil pressure-side defining points:
X Y Z X Y Z X Y Z
βˆ’5.243 βˆ’5.8327 βˆ’0.2796 βˆ’4.3988 βˆ’5.2585 βˆ’0.2796 βˆ’5.5243 βˆ’6.0241 βˆ’0.2796
βˆ’3.8674 βˆ’4.8335 βˆ’0.2796 βˆ’4.5371 βˆ’5.3578 βˆ’0.2796 βˆ’5.66 βˆ’6.1268 βˆ’0.2796
βˆ’5.3845 βˆ’5.9271 βˆ’0.2796 βˆ’4.6768 βˆ’5.4549 βˆ’0.2796 βˆ’5.7875 βˆ’6.2394 βˆ’0.2796
βˆ’3.9967 βˆ’4.9442 βˆ’0.2796 βˆ’4.8176 βˆ’5.5504 βˆ’0.2796 βˆ’6.0431 βˆ’6.672 βˆ’0.2796
βˆ’4.1285 βˆ’5.0519 βˆ’0.2796 βˆ’4.9591 βˆ’5.6449 βˆ’0.2796 βˆ’5.9006 βˆ’6.3663 βˆ’0.2796
βˆ’4.2626 βˆ’5.1566 βˆ’0.2796 βˆ’5.1011 βˆ’5.7388 βˆ’0.2796 βˆ’5.9898 βˆ’6.5109 βˆ’0.2796
βˆ’0.6347 0.8326 βˆ’1.0296 βˆ’2.0724 βˆ’2.4037 βˆ’1.0296 βˆ’5.5268 βˆ’6.0008 βˆ’1.0296
βˆ’0.4521 1.3048 βˆ’1.0296 βˆ’3.0748 βˆ’3.963 βˆ’1.0296 βˆ’4.1402 βˆ’5.0404 βˆ’1.0296
βˆ’0.5124 1.1472 βˆ’1.0296 βˆ’2.1531 βˆ’2.5519 βˆ’1.0296 βˆ’5.6616 βˆ’6.1023 βˆ’1.0296
βˆ’0.5735 0.9899 βˆ’1.0296 βˆ’3.1809 βˆ’4.0942 βˆ’1.0296 βˆ’4.2732 βˆ’5.1443 βˆ’1.0296
βˆ’1.2729 βˆ’0.7293 βˆ’1.0296 βˆ’2.2357 βˆ’2.699 βˆ’1.0296 βˆ’5.7884 βˆ’6.2135 βˆ’1.0296
βˆ’1.3402 βˆ’0.884 βˆ’1.0296 βˆ’3.29 βˆ’4.2229 βˆ’1.0296 βˆ’4.4084 βˆ’5.2452 βˆ’1.0296
βˆ’0.6963 0.6756 βˆ’1.0296 βˆ’2.32 βˆ’2.8452 βˆ’1.0296 βˆ’4.5455 βˆ’5.3436 βˆ’1.0296
βˆ’1.4085 βˆ’1.0383 βˆ’1.0296 βˆ’3.4022 βˆ’4.349 βˆ’1.0296 βˆ’4.6841 βˆ’5.4398 βˆ’1.0296
βˆ’0.7583 0.5186 βˆ’1.0296 βˆ’2.4063 βˆ’2.9902 βˆ’1.0296 βˆ’4.8239 βˆ’5.5344 βˆ’1.0296
βˆ’1.4776 βˆ’1.1922 βˆ’1.0296 βˆ’3.5174 βˆ’4.4722 βˆ’1.0296 βˆ’5.3878 βˆ’5.9051 βˆ’1.0296
βˆ’0.8208 0.3619 βˆ’1.0296 βˆ’2.4947 βˆ’3.1339 βˆ’1.0296 βˆ’4.9645 βˆ’5.6277 βˆ’1.0296
βˆ’1.5477 βˆ’1.3457 βˆ’1.0296 βˆ’1.6912 βˆ’1.6511 βˆ’1.0296 βˆ’3.6359 βˆ’4.5924 βˆ’1.0296
βˆ’0.8837 0.2053 βˆ’1.0296 βˆ’2.5852 βˆ’3.2763 βˆ’1.0296 βˆ’5.1056 βˆ’5.7201 βˆ’1.0296
βˆ’1.6189 βˆ’1.4987 βˆ’1.0296 βˆ’1.7648 βˆ’1.803 βˆ’1.0296 βˆ’3.7575 βˆ’4.7093 βˆ’1.0296
βˆ’0.947 0.0489 βˆ’1.0296 βˆ’2.6781 βˆ’3.4172 βˆ’1.0296 βˆ’5.247 βˆ’5.8122 βˆ’1.0296
βˆ’1.0109 βˆ’0.1072 βˆ’1.0296 βˆ’1.8396 βˆ’1.9542 βˆ’1.0296 βˆ’3.8822 βˆ’4.823 βˆ’1.0296
βˆ’1.0754 βˆ’0.2632 βˆ’1.0296 βˆ’2.7733 βˆ’3.5565 βˆ’1.0296 βˆ’4.0098 βˆ’4.9334 βˆ’1.0296
βˆ’1.1405 βˆ’0.4188 βˆ’1.0296 βˆ’1.9157 βˆ’2.1048 βˆ’1.0296 βˆ’5.9009 βˆ’6.3391 βˆ’1.0296
βˆ’1.2063 βˆ’0.5742 βˆ’1.0296 βˆ’2.8711 βˆ’3.694 βˆ’1.0296 βˆ’5.9898 βˆ’6.4822 βˆ’1.0296
βˆ’2.9715 βˆ’3.8296 βˆ’1.0296 βˆ’1.9933 βˆ’2.2547 βˆ’1.0296 βˆ’6.043 βˆ’6.6417 βˆ’1.0296
βˆ’1.4872 βˆ’1.0482 βˆ’1.7796 βˆ’3.2292 βˆ’4.0732 βˆ’1.7796 βˆ’5.7907 βˆ’6.1841 βˆ’1.7796
βˆ’0.8504 0.4924 βˆ’1.7796 βˆ’2.3015 βˆ’2.6905 βˆ’1.7796 βˆ’4.4307 βˆ’5.2227 βˆ’1.7796
βˆ’1.5552 βˆ’1.2004 βˆ’1.7796 βˆ’3.3363 βˆ’4.201 βˆ’1.7796 βˆ’4.5652 βˆ’5.3211 βˆ’1.7796
βˆ’0.9113 0.3372 βˆ’1.7796 βˆ’2.3844 βˆ’2.8351 βˆ’1.7796 βˆ’4.7014 βˆ’5.4173 βˆ’1.7796
βˆ’1.6242 βˆ’1.3521 βˆ’1.7796 βˆ’3.4463 βˆ’4.3262 βˆ’1.7796 βˆ’4.8389 βˆ’5.5115 βˆ’1.7796
βˆ’0.9726 0.1822 βˆ’1.7796 βˆ’2.4693 βˆ’2.9786 βˆ’1.7796 βˆ’4.9775 βˆ’5.6042 βˆ’1.7796
βˆ’1.6942 βˆ’1.5034 βˆ’1.7796 βˆ’3.5593 βˆ’4.4488 βˆ’1.7796 βˆ’3.6752 βˆ’4.5686 βˆ’1.7796
βˆ’1.0345 0.0274 βˆ’1.7796 βˆ’2.5561 βˆ’3.1209 βˆ’1.7796 βˆ’5.1169 βˆ’5.6956 βˆ’1.7796
βˆ’1.0971 βˆ’0.1272 βˆ’1.7796 βˆ’1.7654 βˆ’1.6542 βˆ’1.7796 βˆ’3.7941 βˆ’4.6854 βˆ’1.7796
βˆ’1.1602 βˆ’0.2814 βˆ’1.7796 βˆ’2.645 βˆ’3.2619 βˆ’1.7796 βˆ’5.2569 βˆ’5.7862 βˆ’1.7796
βˆ’0.5532 1.2712 βˆ’1.7796 βˆ’2.7361 βˆ’3.4016 βˆ’1.7796 βˆ’3.9159 βˆ’4.7993 βˆ’1.7796
βˆ’1.224 βˆ’0.4355 βˆ’1.7796 βˆ’1.9115 βˆ’1.9539 βˆ’1.7796 βˆ’5.3963 βˆ’5.8777 βˆ’1.7796
βˆ’0.6117 1.115 βˆ’1.7796 βˆ’2.8295 βˆ’3.5396 βˆ’1.7796 βˆ’4.0405 βˆ’4.91 βˆ’1.7796
βˆ’1.2886 βˆ’0.5891 βˆ’1.7796 βˆ’1.9865 βˆ’2.1028 βˆ’1.7796 βˆ’5.5333 βˆ’5.9726 βˆ’1.7796
βˆ’0.6708 0.9592 βˆ’1.7796 βˆ’2.9254 βˆ’3.676 βˆ’1.7796 βˆ’4.168 βˆ’5.0175 βˆ’1.7796
βˆ’1.354 βˆ’0.7425 βˆ’1.7796 βˆ’2.0629 βˆ’2.251 βˆ’1.7796 βˆ’5.6658 βˆ’6.0738 βˆ’1.7796
βˆ’0.7302 0.8034 βˆ’1.7796 βˆ’3.0239 βˆ’3.8105 βˆ’1.7796 βˆ’4.2981 βˆ’5.1216 βˆ’1.7796
βˆ’1.4201 βˆ’0.8955 βˆ’1.7796 βˆ’2.1408 βˆ’2.3984 βˆ’1.7796 βˆ’5.9019 βˆ’6.3081 βˆ’1.7796
βˆ’0.7901 0.6478 βˆ’1.7796 βˆ’3.1251 βˆ’3.943 βˆ’1.7796 βˆ’5.99 βˆ’6.4493 βˆ’1.7796
βˆ’1.8378 βˆ’1.8043 βˆ’1.7796 βˆ’2.2203 βˆ’2.5449 βˆ’1.7796 βˆ’6.0428 βˆ’6.6069 βˆ’1.7796
βˆ’1.0601 0.1418 βˆ’2.5296 βˆ’1.9158 βˆ’1.8133 βˆ’2.5296 βˆ’2.4589 βˆ’2.826 βˆ’2.5296
βˆ’1.7731 βˆ’1.5175 βˆ’2.5296 βˆ’1.989 βˆ’1.9603 βˆ’2.5296 βˆ’4.729 βˆ’5.3848 βˆ’2.5296
βˆ’1.1208 βˆ’0.0108 βˆ’2.5296 βˆ’3.5064 βˆ’4.2941 βˆ’2.5296 βˆ’4.8631 βˆ’5.4796 βˆ’2.5296
βˆ’1.1823 βˆ’0.163 βˆ’2.5296 βˆ’2.5431 βˆ’2.967 βˆ’2.5296 βˆ’4.9984 βˆ’5.5726 βˆ’2.5296
βˆ’1.2445 βˆ’0.315 βˆ’2.5296 βˆ’3.6169 βˆ’4.4155 βˆ’2.5296 βˆ’5.1347 βˆ’5.6642 βˆ’2.5296
βˆ’0.6518 1.2162 βˆ’2.5296 βˆ’2.6292 βˆ’3.1068 βˆ’2.5296 βˆ’3.8461 βˆ’4.6507 βˆ’2.5296
βˆ’1.3074 βˆ’0.4667 βˆ’2.5296 βˆ’3.7301 βˆ’4.5344 βˆ’2.5296 βˆ’5.2717 βˆ’5.7547 βˆ’2.5296
βˆ’0.7084 1.0621 βˆ’2.5296 βˆ’2.7173 βˆ’3.2454 βˆ’2.5296 βˆ’3.9647 βˆ’4.7642 βˆ’2.5296
βˆ’1.3712 βˆ’0.618 βˆ’2.5296 βˆ’2.8074 βˆ’3.3827 βˆ’2.5296 βˆ’5.4083 βˆ’5.8459 βˆ’2.5296
βˆ’0.7657 0.9082 βˆ’2.5296 βˆ’2.8998 βˆ’3.5184 βˆ’2.5296 βˆ’4.086 βˆ’4.8749 βˆ’2.5296
βˆ’1.4358 βˆ’0.769 βˆ’2.5296 βˆ’2.0635 βˆ’2.1066 βˆ’2.5296 βˆ’5.5426 βˆ’5.9404 βˆ’2.5296
βˆ’0.8234 0.7545 βˆ’2.5296 βˆ’2.9945 βˆ’3.6526 βˆ’2.5296 βˆ’4.21 βˆ’4.9825 βˆ’2.5296
βˆ’1.5013 βˆ’0.9196 βˆ’2.5296 βˆ’2.1395 βˆ’2.2522 βˆ’2.5296 βˆ’5.6723 βˆ’6.0411 βˆ’2.5296
βˆ’0.8817 0.601 βˆ’2.5296 βˆ’3.0916 βˆ’3.785 βˆ’2.5296 βˆ’4.3366 βˆ’5.0871 βˆ’2.5296
βˆ’1.5677 βˆ’1.0697 βˆ’2.5296 βˆ’2.2169 βˆ’2.397 βˆ’2.5296 βˆ’5.7946 βˆ’6.1505 βˆ’2.5296
βˆ’0.9405 0.4477 βˆ’2.5296 βˆ’3.1913 βˆ’3.9155 βˆ’2.5296 βˆ’4.4655 βˆ’5.1888 βˆ’2.5296
βˆ’1.6351 βˆ’1.2195 βˆ’2.5296 βˆ’2.2959 βˆ’2.5409 βˆ’2.5296 βˆ’5.9037 βˆ’6.2731 βˆ’2.5296
βˆ’1 0.2946 βˆ’2.5296 βˆ’3.2936 βˆ’4.0439 βˆ’2.5296 βˆ’4.5964 βˆ’5.288 βˆ’2.5296
βˆ’1.7036 βˆ’1.3687 βˆ’2.5296 βˆ’2.3765 βˆ’2.684 βˆ’2.5296 βˆ’5.9904 βˆ’6.4122 βˆ’2.5296
βˆ’1.8439 βˆ’1.6657 βˆ’2.5296 βˆ’3.3986 βˆ’4.1702 βˆ’2.5296 βˆ’6.0425 βˆ’6.5674 βˆ’2.5296
βˆ’1.2538 βˆ’0.2173 βˆ’3.2796 βˆ’2.7874 βˆ’3.2369 βˆ’3.2796 βˆ’1.9131 βˆ’1.6915 βˆ’3.2796
βˆ’1.3156 βˆ’0.3665 βˆ’3.2796 βˆ’1.985 βˆ’1.8361 βˆ’3.2796 βˆ’5.0227 βˆ’5.5391 βˆ’3.2796
βˆ’0.731 1.139 βˆ’3.2796 βˆ’2.8773 βˆ’3.3711 βˆ’3.2796 βˆ’5.1553 βˆ’5.6313 βˆ’3.2796
βˆ’1.3782 βˆ’0.5154 βˆ’3.2796 βˆ’2.0583 βˆ’1.9801 βˆ’3.2796 βˆ’3.9016 βˆ’4.6166 βˆ’3.2796
βˆ’0.7866 0.9873 βˆ’3.2796 βˆ’2.9692 βˆ’3.5039 βˆ’3.2796 βˆ’5.2888 βˆ’5.7222 βˆ’3.2796
βˆ’1.4417 βˆ’0.664 βˆ’3.2796 βˆ’2.1329 βˆ’2.1233 βˆ’3.2796 βˆ’4.0174 βˆ’4.7292 βˆ’3.2796
βˆ’0.8426 0.8358 βˆ’3.2796 βˆ’3.0633 βˆ’3.6351 βˆ’3.2796 βˆ’5.4221 βˆ’5.8134 βˆ’3.2796
βˆ’1.506 βˆ’0.8121 βˆ’3.2796 βˆ’2.209 βˆ’2.2658 βˆ’3.2796 βˆ’4.1357 βˆ’4.8391 βˆ’3.2796
βˆ’0.8993 0.6846 βˆ’3.2796 βˆ’3.1596 βˆ’3.7648 βˆ’3.2796 βˆ’5.5531 βˆ’5.9078 βˆ’3.2796
βˆ’1.5713 βˆ’0.9598 βˆ’3.2796 βˆ’2.2866 βˆ’2.4074 βˆ’3.2796 βˆ’4.2565 βˆ’4.9464 βˆ’3.2796
βˆ’0.9566 0.5336 βˆ’3.2796 βˆ’3.2582 βˆ’3.8927 βˆ’3.2796 βˆ’5.6798 βˆ’6.008 βˆ’3.2796
βˆ’1.6375 βˆ’1.1072 βˆ’3.2796 βˆ’2.3658 βˆ’2.5482 βˆ’3.2796 βˆ’4.3796 βˆ’5.051 βˆ’3.2796
βˆ’1.0146 0.3828 βˆ’3.2796 βˆ’3.3592 βˆ’4.0187 βˆ’3.2796 βˆ’5.7994 βˆ’6.1165 βˆ’3.2796
βˆ’1.7047 βˆ’1.254 βˆ’3.2796 βˆ’2.4466 βˆ’2.688 βˆ’3.2796 βˆ’4.5048 βˆ’5.153 βˆ’3.2796
βˆ’1.0733 0.2324 βˆ’3.2796 βˆ’3.4627 βˆ’4.1427 βˆ’3.2796 βˆ’5.906 βˆ’6.2376 βˆ’3.2796
βˆ’1.773 βˆ’1.4004 βˆ’3.2796 βˆ’2.5291 βˆ’2.8269 βˆ’3.2796 βˆ’4.632 βˆ’5.2526 βˆ’3.2796
βˆ’1.1327 0.0822 βˆ’3.2796 βˆ’3.5687 βˆ’4.2646 βˆ’3.2796 βˆ’4.7608 βˆ’5.35 βˆ’3.2796
βˆ’1.8425 βˆ’1.5462 βˆ’3.2796 βˆ’2.6134 βˆ’2.9647 βˆ’3.2796 βˆ’4.8911 βˆ’5.4455 βˆ’3.2796
βˆ’1.1928 βˆ’0.0677 βˆ’3.2796 βˆ’3.6772 βˆ’4.3843 βˆ’3.2796 βˆ’6.0421 βˆ’6.5274 βˆ’3.2796
βˆ’3.7881 βˆ’4.5017 βˆ’3.2796 βˆ’2.6995 βˆ’3.1014 βˆ’3.2796 βˆ’5.991 βˆ’6.3747 βˆ’3.2796
βˆ’1.1163 0.1571 βˆ’4.0296 βˆ’3.4096 βˆ’4.0059 βˆ’4.0296 βˆ’3.618 βˆ’4.2463 βˆ’4.0296
βˆ’1.7469 βˆ’1.3031 βˆ’4.0296 βˆ’2.4124 βˆ’2.5703 βˆ’4.0296 βˆ’5.9085 βˆ’6.2052 βˆ’4.0296
βˆ’1.0582 0.3052 βˆ’4.0296 βˆ’3.3088 βˆ’3.8828 βˆ’4.0296 βˆ’6.0418 βˆ’6.491 βˆ’4.0296
βˆ’1.6794 βˆ’1.1591 βˆ’4.0296 βˆ’2.3326 βˆ’2.4327 βˆ’4.0296 βˆ’4.5395 βˆ’5.1222 βˆ’4.0296
βˆ’1.0009 0.4536 βˆ’4.0296 βˆ’3.2102 βˆ’3.758 βˆ’4.0296 βˆ’5.8041 βˆ’6.0853 βˆ’4.0296
βˆ’1.613 βˆ’1.0145 βˆ’4.0296 βˆ’2.2544 βˆ’2.2941 βˆ’4.0296 βˆ’4.4171 βˆ’5.0207 βˆ’4.0296
βˆ’0.9443 0.6023 βˆ’4.0296 βˆ’3.1138 βˆ’3.6315 βˆ’4.0296 βˆ’5.6872 βˆ’5.9775 βˆ’4.0296
βˆ’1.5476 βˆ’0.8695 βˆ’4.0296 βˆ’2.1777 βˆ’2.1547 βˆ’4.0296 βˆ’4.2965 βˆ’4.9169 βˆ’4.0296
βˆ’0.8886 0.7513 βˆ’4.0296 βˆ’3.0194 βˆ’3.5034 βˆ’4.0296 βˆ’5.5633 βˆ’5.8778 βˆ’4.0296
βˆ’1.4831 βˆ’0.724 βˆ’4.0296 βˆ’2.1026 βˆ’2.0145 βˆ’4.0296 βˆ’4.178 βˆ’4.8107 βˆ’4.0296
βˆ’0.8336 0.9006 βˆ’4.0296 βˆ’2.9271 βˆ’3.3738 βˆ’4.0296 βˆ’5.4351 βˆ’5.7835 βˆ’4.0296
βˆ’1.4197 βˆ’0.5782 βˆ’4.0296 βˆ’2.0288 βˆ’1.8736 βˆ’4.0296 βˆ’4.0617 βˆ’4.7022 βˆ’4.0296
βˆ’0.7791 1.05 βˆ’4.0296 βˆ’2.8368 βˆ’3.2429 βˆ’4.0296 βˆ’5.3049 βˆ’5.6921 βˆ’4.0296
βˆ’1.3572 βˆ’0.4319 βˆ’4.0296 βˆ’1.9564 βˆ’1.7319 βˆ’4.0296 βˆ’3.9475 βˆ’4.5915 βˆ’4.0296
βˆ’1.2957 βˆ’0.2852 βˆ’4.0296 βˆ’2.7483 βˆ’3.1106 βˆ’4.0296 βˆ’5.1745 βˆ’5.601 βˆ’4.0296
βˆ’1.235 βˆ’0.1381 βˆ’4.0296 βˆ’2.6617 βˆ’2.9772 βˆ’4.0296 βˆ’5.045 βˆ’5.5086 βˆ’4.0296
βˆ’1.8853 βˆ’1.5896 βˆ’4.0296 βˆ’2.5769 βˆ’2.8426 βˆ’4.0296 βˆ’4.9166 βˆ’5.4147 βˆ’4.0296
βˆ’1.1752 0.0093 βˆ’4.0296 βˆ’3.5127 βˆ’4.1271 βˆ’4.0296 βˆ’4.7895 βˆ’5.3191 βˆ’4.0296
βˆ’1.8155 βˆ’1.4467 βˆ’4.0296 βˆ’3.8355 βˆ’4.4785 βˆ’4.0296 βˆ’5.9917 βˆ’6.3405 βˆ’4.0296
βˆ’2.4938 βˆ’2.707 βˆ’4.0296 βˆ’3.7256 βˆ’4.3634 βˆ’4.0296 βˆ’4.6637 βˆ’5.2216 βˆ’4.0296
βˆ’0.9339 0.4406 βˆ’4.7796 βˆ’1.7517 βˆ’1.4161 βˆ’4.7796 βˆ’2.2721 βˆ’2.3769 βˆ’4.7796
βˆ’0.9912 0.2954 βˆ’4.7796 βˆ’1.9665 βˆ’1.8323 βˆ’4.7796 βˆ’1.5476 βˆ’0.9946 βˆ’4.7796
βˆ’1.0492 0.1504 βˆ’4.7796 βˆ’3.5538 βˆ’4.1426 βˆ’4.7796 βˆ’5.5757 βˆ’5.8527 βˆ’4.7796
βˆ’1.108 0.0058 βˆ’4.7796 βˆ’2.6023 βˆ’2.9068 βˆ’4.7796 βˆ’4.3359 βˆ’4.9049 βˆ’4.7796
βˆ’1.1678 βˆ’0.1384 βˆ’4.7796 βˆ’1.8221 βˆ’1.5555 βˆ’4.7796 βˆ’5.6964 βˆ’5.9517 βˆ’4.7796
βˆ’1.2286 βˆ’0.2822 βˆ’4.7796 βˆ’3.6597 βˆ’4.2573 βˆ’4.7796 βˆ’4.4549 βˆ’5.006 βˆ’4.7796
βˆ’1.2903 βˆ’0.4256 βˆ’4.7796 βˆ’2.6891 βˆ’3.0366 βˆ’4.7796 βˆ’5.8103 βˆ’6.0584 βˆ’4.7796
βˆ’1.3531 βˆ’0.5686 βˆ’4.7796 βˆ’1.8936 βˆ’1.6943 βˆ’4.7796 βˆ’4.5754 βˆ’5.1053 βˆ’4.7796
βˆ’0.7673 0.8783 βˆ’4.7796 βˆ’3.7677 βˆ’4.3701 βˆ’4.7796 βˆ’5.9119 βˆ’6.1768 βˆ’4.7796
βˆ’1.4169 βˆ’0.7111 βˆ’4.7796 βˆ’2.7776 βˆ’3.1652 βˆ’4.7796 βˆ’4.6973 βˆ’5.2028 βˆ’4.7796
βˆ’0.8215 0.7319 βˆ’4.7796 βˆ’3.8776 βˆ’4.4809 βˆ’4.7796 βˆ’5.9927 βˆ’6.3101 βˆ’4.7796
βˆ’0.8772 0.586 βˆ’4.7796 βˆ’2.8679 βˆ’3.2925 βˆ’4.7796 βˆ’4.8205 βˆ’5.2987 βˆ’4.7796
βˆ’3.2481 βˆ’3.7879 βˆ’4.7796 βˆ’2.0408 βˆ’1.9697 βˆ’4.7796 βˆ’4.9449 βˆ’5.3931 βˆ’4.7796
βˆ’2.3522 βˆ’2.5109 βˆ’4.7796 βˆ’3.9894 βˆ’4.5899 βˆ’4.7796 βˆ’5.0703 βˆ’5.4861 βˆ’4.7796
βˆ’1.6145 βˆ’1.1357 βˆ’4.7796 βˆ’2.9601 βˆ’3.4185 βˆ’4.7796 βˆ’5.1967 βˆ’5.5777 βˆ’4.7796
βˆ’3.3479 βˆ’3.9079 βˆ’4.7796 βˆ’2.1164 βˆ’2.1062 βˆ’4.7796 βˆ’5.3239 βˆ’5.6682 βˆ’4.7796
βˆ’2.4339 βˆ’2.6439 βˆ’4.7796 βˆ’3.0542 βˆ’3.5431 βˆ’4.7796 βˆ’4.1031 βˆ’4.6968 βˆ’4.7796
βˆ’1.6825 βˆ’1.2762 βˆ’4.7796 βˆ’2.1935 βˆ’2.242 βˆ’4.7796 βˆ’6.0415 βˆ’6.458 βˆ’4.7796
βˆ’3.4498 βˆ’4.0261 βˆ’4.7796 βˆ’1.4817 βˆ’0.8531 βˆ’4.7796 βˆ’5.4509 βˆ’5.759 βˆ’4.7796
βˆ’2.5173 βˆ’2.7759 βˆ’4.7796 βˆ’3.1501 βˆ’3.6663 βˆ’4.7796 βˆ’4.2187 βˆ’4.8019 βˆ’4.7796
βˆ’0.7191 0.4945 βˆ’5.5296 βˆ’3.9021 βˆ’4.5066 βˆ’5.5296 βˆ’2.2399 βˆ’2.5093 βˆ’5.5296
βˆ’0.6633 0.6372 βˆ’5.5296 βˆ’1.919 βˆ’1.987 βˆ’5.5296 βˆ’3.1561 βˆ’3.7364 βˆ’5.5296
βˆ’1.2749 βˆ’0.7677 βˆ’5.5296 βˆ’2.7689 βˆ’3.2613 βˆ’5.5296 βˆ’4.1303 βˆ’4.7112 βˆ’5.5296
βˆ’1.2091 βˆ’0.6293 βˆ’5.5296 βˆ’3.7904 βˆ’4.4017 βˆ’5.5296 βˆ’5.3413 βˆ’5.6497 βˆ’5.5296
βˆ’1.1443 βˆ’0.4904 βˆ’5.5296 βˆ’1.8424 βˆ’1.8543 βˆ’5.5296 βˆ’5.2165 βˆ’5.5607 βˆ’5.5296
βˆ’1.0807 βˆ’0.351 βˆ’5.5296 βˆ’2.6765 βˆ’3.139 βˆ’5.5296 βˆ’5.0923 βˆ’5.4709 βˆ’5.5296
βˆ’1.018 βˆ’0.2111 βˆ’5.5296 βˆ’3.6803 βˆ’4.2951 βˆ’5.5296 βˆ’4.9688 βˆ’5.3802 βˆ’5.5296
βˆ’0.9563 βˆ’0.0708 βˆ’5.5296 βˆ’1.7671 βˆ’1.7208 βˆ’5.5296 βˆ’4.846 βˆ’5.2884 βˆ’5.5296
βˆ’0.8956 0.0699 βˆ’5.5296 βˆ’2.5858 βˆ’3.0154 βˆ’5.5296 βˆ’5.9937 βˆ’6.284 βˆ’5.5296
βˆ’0.836 0.2111 βˆ’5.5296 βˆ’3.5719 βˆ’4.1868 βˆ’5.5296 βˆ’4.7241 βˆ’5.1955 βˆ’5.5296
βˆ’0.7774 0.3527 βˆ’5.5296 βˆ’1.6932 βˆ’1.5866 βˆ’5.5296 βˆ’5.9153 βˆ’6.1526 βˆ’5.5296
βˆ’1.4097 βˆ’1.043 βˆ’5.5296 βˆ’2.4969 βˆ’2.8906 βˆ’5.5296 βˆ’6.0412 βˆ’6.4293 βˆ’5.5296
βˆ’2.1574 βˆ’2.3802 βˆ’5.5296 βˆ’3.4652 βˆ’4.0767 βˆ’5.5296 βˆ’4.6031 βˆ’5.1015 βˆ’5.5296
βˆ’3.0566 βˆ’3.6198 βˆ’5.5296 βˆ’1.6205 βˆ’1.4516 βˆ’5.5296 βˆ’5.8165 βˆ’6.0356 βˆ’5.5296
βˆ’1.3417 βˆ’0.9056 βˆ’5.5296 βˆ’2.4096 βˆ’2.7646 βˆ’5.5296 βˆ’4.4831 βˆ’5.0061 βˆ’5.5296
βˆ’2.0765 βˆ’2.25 βˆ’5.5296 βˆ’3.3604 βˆ’3.9649 βˆ’5.5296 βˆ’5.7055 βˆ’5.93 βˆ’5.5296
βˆ’2.9589 βˆ’3.5018 βˆ’5.5296 βˆ’1.5491 βˆ’1.316 βˆ’5.5296 βˆ’4.3642 βˆ’4.9094 βˆ’5.5296
βˆ’4.0155 βˆ’4.6098 βˆ’5.5296 βˆ’2.324 βˆ’2.6375 βˆ’5.5296 βˆ’5.5876 βˆ’5.832 βˆ’5.5296
βˆ’1.997 βˆ’2.119 βˆ’5.5296 βˆ’3.2573 βˆ’3.8515 βˆ’5.5296 βˆ’4.2466 βˆ’4.8111 βˆ’5.5296
βˆ’2.863 βˆ’3.3822 βˆ’5.5296 βˆ’1.4788 βˆ’1.1798 βˆ’5.5296 βˆ’5.4656 βˆ’5.7393 βˆ’5.5296
βˆ’4.2636 βˆ’4.8158 βˆ’6.2796 βˆ’4.6222 βˆ’5.0937 βˆ’6.2796 βˆ’4.9869 βˆ’5.3635 βˆ’6.2796
βˆ’5.5968 βˆ’5.8103 βˆ’6.2796 βˆ’5.9179 βˆ’6.1289 βˆ’6.2796 βˆ’5.1092 βˆ’5.4524 βˆ’6.2796
βˆ’4.3823 βˆ’4.9095 βˆ’6.2796 βˆ’4.7432 βˆ’5.1843 βˆ’6.2796 βˆ’5.2318 βˆ’5.541 βˆ’6.2796
βˆ’5.7126 βˆ’5.9076 βˆ’6.2796 βˆ’5.9943 βˆ’6.2591 βˆ’6.2796 βˆ’5.3545 βˆ’5.6294 βˆ’6.2796
βˆ’4.5018 βˆ’5.0021 βˆ’6.2796 βˆ’4.8648 βˆ’5.2742 βˆ’6.2796 βˆ’4.1458 βˆ’4.7209 βˆ’6.2796
βˆ’5.8212 βˆ’6.0127 βˆ’6.2796 βˆ’6.0409 βˆ’6.4026 βˆ’6.2796 βˆ’5.4767 βˆ’5.7184 βˆ’6.2796

The coordinate values given in Table II below define the preferred nominal profile of the suction sidewall surface 34 of airfoil 28:

TABLE II
Airfoil suction-side-side defining points:
X Y Z X Y Z X Y Z
βˆ’5.7850 βˆ’7.2620 βˆ’0.2796 βˆ’5.6052 βˆ’7.3979 βˆ’0.2796 βˆ’6.0361 βˆ’6.8957 βˆ’0.2796
βˆ’5.9385 βˆ’7.0975 βˆ’0.2796
βˆ’6.0366 βˆ’6.8603 βˆ’1.0296 βˆ’2.9732 βˆ’7.4804 βˆ’1.0296 βˆ’0.3324 0.6277 βˆ’1.0296
βˆ’5.9421 βˆ’7.0582 βˆ’1.0296 βˆ’2.8197 βˆ’7.3224 βˆ’1.0296 βˆ’0.8258 βˆ’1.5206 βˆ’1.0296
βˆ’5.7944 βˆ’7.2211 βˆ’1.0296 βˆ’4.8358 βˆ’7.7532 βˆ’1.0296 βˆ’1.3654 βˆ’3.6576 βˆ’1.0296
βˆ’5.6202 βˆ’7.3560 βˆ’1.0296 βˆ’2.6829 βˆ’7.1496 βˆ’1.0296 βˆ’0.2838 0.8427 βˆ’1.0296
βˆ’5.4341 βˆ’7.4740 βˆ’1.0296 βˆ’4.6249 βˆ’7.8173 βˆ’1.0296 βˆ’0.7750 βˆ’1.3061 βˆ’1.0296
βˆ’5.2405 βˆ’7.5793 βˆ’1.0296 βˆ’2.5610 βˆ’6.9660 βˆ’1.0296 βˆ’1.3081 βˆ’3.4448 βˆ’1.0296
βˆ’5.0411 βˆ’7.6732 βˆ’1.0296 βˆ’4.4094 βˆ’7.8633 βˆ’1.0296 βˆ’0.2366 1.0580 βˆ’1.0296
βˆ’2.4518 βˆ’6.7746 βˆ’1.0296 βˆ’1.6703 βˆ’4.7167 βˆ’1.0296 βˆ’1.2516 βˆ’3.2317 βˆ’1.0296
βˆ’4.1906 βˆ’7.8888 βˆ’1.0296 βˆ’0.5267 βˆ’0.2323 βˆ’1.0296 βˆ’1.8722 βˆ’5.3464 βˆ’1.0296
βˆ’2.3528 βˆ’6.5777 βˆ’1.0296 βˆ’1.0337 βˆ’2.3774 βˆ’1.0296 βˆ’0.1945 1.2739 βˆ’1.0296
βˆ’3.9703 βˆ’7.8916 βˆ’1.0296 βˆ’1.6065 βˆ’4.5057 βˆ’1.0296 βˆ’0.6746 βˆ’0.8768 βˆ’1.0296
βˆ’2.2614 βˆ’6.3771 βˆ’1.0296 βˆ’0.4780 βˆ’0.0173 βˆ’1.0296 βˆ’1.1960 βˆ’3.0184 βˆ’1.0296
βˆ’3.7513 βˆ’7.8682 βˆ’1.0296 βˆ’0.9809 βˆ’2.1634 βˆ’1.0296 βˆ’1.8030 βˆ’5.1371 βˆ’1.0296
βˆ’2.1757 βˆ’6.1740 βˆ’1.0296 βˆ’1.5443 βˆ’4.2942 βˆ’1.0296 βˆ’0.6249 βˆ’0.6621 βˆ’1.0296
βˆ’3.5375 βˆ’7.8151 βˆ’1.0296 βˆ’0.4295 0.1977 βˆ’1.0296 βˆ’0.7246 βˆ’1.0915 βˆ’1.0296
βˆ’2.0948 βˆ’5.9690 βˆ’1.0296 βˆ’0.9287 βˆ’1.9492 βˆ’1.0296 βˆ’1.1412 βˆ’2.8049 βˆ’1.0296
βˆ’3.3338 βˆ’7.7316 βˆ’1.0296 βˆ’1.4834 βˆ’4.0824 βˆ’1.0296 βˆ’1.7358 βˆ’4.9272 βˆ’1.0296
βˆ’2.0178 βˆ’5.7625 βˆ’1.0296 βˆ’0.3810 0.4127 βˆ’1.0296 βˆ’0.5756 βˆ’0.4472 βˆ’1.0296
βˆ’3.1448 βˆ’7.6185 βˆ’1.0296 βˆ’0.8770 βˆ’1.7350 βˆ’1.0296 βˆ’1.0871 βˆ’2.5913 βˆ’1.0296
βˆ’1.9438 βˆ’5.5549 βˆ’1.0296 βˆ’1.4239 βˆ’3.8702 βˆ’1.0296
βˆ’6.0360 βˆ’6.8243 βˆ’1.7796 βˆ’1.0993 βˆ’2.3984 βˆ’1.7796 βˆ’0.8511 βˆ’1.3307 βˆ’1.7796
βˆ’5.9417 βˆ’7.0209 βˆ’1.7796 βˆ’1.6499 βˆ’4.5202 βˆ’1.7796 βˆ’1.3628 βˆ’3.4624 βˆ’1.7796
βˆ’5.7957 βˆ’7.1838 βˆ’1.7796 βˆ’2.3749 βˆ’6.5871 βˆ’1.7796 βˆ’1.9759 βˆ’5.5667 βˆ’1.7796
βˆ’5.6241 βˆ’7.3201 βˆ’1.7796 βˆ’3.9926 βˆ’7.8767 βˆ’1.7796 βˆ’2.9943 βˆ’7.4824 βˆ’1.7796
βˆ’5.4410 βˆ’7.4405 βˆ’1.7796 βˆ’1.0486 βˆ’2.1851 βˆ’1.7796 βˆ’0.8028 βˆ’1.1168 βˆ’1.7796
βˆ’5.2506 βˆ’7.5491 βˆ’1.7796 βˆ’1.5900 βˆ’4.3094 βˆ’1.7796 βˆ’1.3085 βˆ’3.2500 βˆ’1.7796
βˆ’5.0543 βˆ’7.6468 βˆ’1.7796 βˆ’2.2851 βˆ’6.3871 βˆ’1.7796 βˆ’1.9066 βˆ’5.3587 βˆ’1.7796
βˆ’4.6429 βˆ’7.7971 βˆ’1.7796 βˆ’3.7745 βˆ’7.8553 βˆ’1.7796 βˆ’2.8399 βˆ’7.3270 βˆ’1.7796
βˆ’4.4291 βˆ’7.8452 βˆ’1.7796 βˆ’0.9985 βˆ’1.9716 βˆ’1.7796 βˆ’0.7549 βˆ’0.9029 βˆ’1.7796
βˆ’4.2117 βˆ’7.8724 βˆ’1.7796 βˆ’1.5314 βˆ’4.0981 βˆ’1.7796 βˆ’0.5204 0.1679 βˆ’1.7796
βˆ’4.8517 βˆ’7.7303 βˆ’1.7796 βˆ’2.2013 βˆ’6.1845 βˆ’1.7796 βˆ’0.4741 0.3822 βˆ’1.7796
βˆ’1.2551 βˆ’3.0373 βˆ’1.7796 βˆ’3.5612 βˆ’7.8056 βˆ’1.7796 βˆ’0.4275 0.5964 βˆ’1.7796
βˆ’1.8396 βˆ’5.1500 βˆ’1.7796 βˆ’0.9489 βˆ’1.7581 βˆ’1.7796 βˆ’0.3811 0.8107 βˆ’1.7796
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βˆ’5.6921 βˆ’7.0767 βˆ’6.2796 βˆ’4.0668 βˆ’7.7277 βˆ’6.2796 βˆ’3.6825 βˆ’7.6251 βˆ’6.2796
βˆ’5.5349 βˆ’7.1997 βˆ’6.2796 βˆ’3.0580 βˆ’7.1379 βˆ’6.2796 βˆ’2.3476 βˆ’5.9393 βˆ’6.2796
βˆ’5.3713 βˆ’7.3142 βˆ’6.2796 βˆ’2.9336 βˆ’6.9819 βˆ’6.2796 βˆ’3.5061 βˆ’7.5318 βˆ’6.2796
βˆ’5.2027 βˆ’7.4210 βˆ’6.2796 βˆ’2.8195 βˆ’6.8180 βˆ’6.2796 βˆ’2.2644 βˆ’5.7578 βˆ’6.2796
βˆ’4.8468 βˆ’7.6013 βˆ’6.2796 βˆ’2.7140 βˆ’6.6485 βˆ’6.2796 βˆ’3.3434 βˆ’7.4164 βˆ’6.2796
βˆ’4.2661 βˆ’7.7347 βˆ’6.2796 βˆ’2.6153 βˆ’6.4750 βˆ’6.2796 βˆ’3.1943 βˆ’7.2838 βˆ’6.2796

The coordinate values given in Table III below define the preferred nominal profile of the outer sidewall flowpath surface 44:

TABLE III
Outer side-wall flow-path surface defining points:
X Y Z X Y Z X Y Z
βˆ’8.0462 βˆ’11.765 0.3324 βˆ’5.7235 βˆ’9.716 0.1329 βˆ’0.975 βˆ’4.954 βˆ’0.2198
βˆ’7.8801 βˆ’4.6266 1.3399 βˆ’5.7009 βˆ’5.273 0.7186 βˆ’0.9486 βˆ’6.1158 βˆ’0.3357
βˆ’7.8801 βˆ’9.5936 0.719 βˆ’5.4976 βˆ’2.8623 0.8383 βˆ’0.4908 1.794 βˆ’0.0288
βˆ’7.3261 βˆ’6.3264 1.0395 βˆ’4.6571 βˆ’8.9505 βˆ’0.0229 βˆ’0.4589 βˆ’3.6223 βˆ’0.1176
βˆ’7.3261 βˆ’7.7626 0.8614 βˆ’4.4868 βˆ’1.2181 0.6322 βˆ’0.4095 βˆ’2.1344 0.1479
βˆ’7.1859 βˆ’3.1945 1.2641 βˆ’4.4413 βˆ’2.1423 0.5927 0 0 0
βˆ’7.1017 βˆ’10.6237 0.3358 βˆ’4.0908 βˆ’3.6915 0.4205 0.5314 βˆ’0.7226 βˆ’0.0047
βˆ’6.9743 βˆ’8.0963 0.7215 βˆ’3.3976 βˆ’1.4307 0.3414 0.5357 βˆ’2.2551 βˆ’0.0455
βˆ’6.5097 βˆ’6.9494 0.751 βˆ’3.2414 βˆ’0.3817 0.3173 0.5615 0.4658 βˆ’0.0019
βˆ’6.5033 βˆ’3.5483 1.0638 βˆ’2.575 βˆ’2.2685 0.1161 0.586 βˆ’3.7338 βˆ’0.1249
βˆ’6.3779 βˆ’9.2785 0.3811 βˆ’2.4905 βˆ’7.989 βˆ’0.4268 0.6749 2.1874 βˆ’0.0429
βˆ’5.8882 βˆ’8.2905 0.4054 βˆ’2.3598 βˆ’0.7454 0.1178 0.7165 βˆ’5.2607 βˆ’0.2483
βˆ’5.7291 βˆ’2.0598 0.9339 βˆ’1.9313 0.4199 0.0595

The coordinate values given in Table IV below define the preferred nominal profile of the inner sidewall flowpath surface 46:

TABLE IV
Inner side-wall flow-path surface defining points:
X Y Z X Y Z X Y Z
βˆ’8.228 βˆ’7.6193 βˆ’7.6955 βˆ’5.941 βˆ’2.9178 βˆ’6.9572 βˆ’2.2147 βˆ’7.0004 βˆ’7.0008
βˆ’8.2169 βˆ’4.0929 βˆ’7.2665 βˆ’5.8658 βˆ’9.1232 βˆ’7.7194 βˆ’1.4346 0.1528 βˆ’6.4958
βˆ’8.1813 βˆ’10.0627 βˆ’8.1389 βˆ’5.8449 βˆ’5.2634 βˆ’7.1437 βˆ’1.4062 βˆ’5.5283 βˆ’6.8062
βˆ’7.5734 βˆ’4.5743 βˆ’7.2566 βˆ’5.5114 βˆ’3.4896 βˆ’6.9495 βˆ’0.8074 βˆ’4.4558 βˆ’6.6971
βˆ’7.5055 βˆ’9.0975 βˆ’7.8899 βˆ’5.4679 βˆ’7.9184 βˆ’7.4642 βˆ’0.6355 1.0363 βˆ’6.5065
βˆ’7.4059 βˆ’5.6132 βˆ’7.3479 βˆ’4.7804 βˆ’8.4017 βˆ’7.4724 βˆ’0.5207 βˆ’5.4003 βˆ’6.7919
βˆ’7.2399 βˆ’7.8958 βˆ’7.6492 βˆ’4.6016 βˆ’1.9885 βˆ’6.7697 βˆ’0.0601 1.229 βˆ’6.5109
βˆ’7.0845 βˆ’3.2011 βˆ’7.0954 βˆ’4.5359 βˆ’2.8137 βˆ’6.8032 βˆ’0.0205 βˆ’1.884 βˆ’6.5316
βˆ’7.0845 βˆ’6.8541 βˆ’7.4736 βˆ’4.5139 βˆ’4.3753 βˆ’6.9155 βˆ’0.0062 βˆ’3.6659 βˆ’6.6319
βˆ’7.0845 βˆ’10.4684 βˆ’8.125 βˆ’3.5604 βˆ’2.1379 βˆ’6.6665 1.004 βˆ’0.6522 βˆ’6.4999
βˆ’6.9885 βˆ’5.3464 βˆ’7.2737 βˆ’3.4228 βˆ’7.974 βˆ’7.2555 1.004 0.7912 βˆ’6.5019
βˆ’6.451 βˆ’6.4312 βˆ’7.3484 βˆ’3.347 βˆ’3.4773 βˆ’6.7205 1.004 1.7598 βˆ’6.527
βˆ’6.4326 βˆ’4.1273 βˆ’7.0963 βˆ’3.2639 βˆ’1.0502 βˆ’6.6001 1.004 βˆ’1.8437 βˆ’6.53
βˆ’6.4016 βˆ’8.6054 βˆ’7.6813 βˆ’2.6314 βˆ’1.5019 βˆ’6.5485 1.004 βˆ’3.0334 βˆ’6.5889
βˆ’6.3553 βˆ’7.4736 βˆ’7.4878 βˆ’2.524 βˆ’0.3968 βˆ’6.5193 1.004 βˆ’4.2193 βˆ’6.6763

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

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

Claims

What is claimed is:

1. A turbine nozzle having a pressure side airfoil surface, said pressure side airfoil surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table I, wherein the Z values are drop dimensions from a reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by smooth continuing arcs, define pressure side airfoil surface profile sections at each distance Z from said origin, the profile sections at the Z distances being joined smoothly with one another to form a pressure side airfoil surface shape.

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

3. A turbine nozzle according to claim 1, wherein said pressure side airfoil surface lies in an envelope within Β±0.105 inches in a direction normal to any pressure side airfoil surface location.

4. A turbine nozzle according to claim 3, wherein said pressure side airfoil surface is coated, 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 pressure side airfoil surface shape.

5. A turbine nozzle according to claim 1, having an outer sidewall surface, said outer sidewall surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table III, wherein the Z values are drop dimensions from said reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by smooth continuing arcs at each distance Z, define an outer sidewall surface shape.

6. A turbine nozzle according to claim 1, having an inner sidewall surface, said inner sidewall surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table IV, wherein the Z values are drop dimensions from said reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by smooth continuing arcs at each distance Z, define an inner sidewall surface shape.

7. A turbine nozzle according to claim 1, having a suction side airfoil, said suction side airfoil surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table II, wherein the Z values are drop dimensions from said reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by smooth continuing arcs, define suction side airfoil surface profile sections at each distance Z from said origin, the profile sections at the Z distances being joined smoothly with one another to form a suction side airfoil surface shape.

8. A turbine nozzle having a suction side airfoil surface, said suction side airfoil surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table II, wherein the Z values are drop dimensions from a reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by smooth continuing arcs, define suction side airfoil surface profile sections at each distance Z from said origin, the profile sections at the Z distances being joined smoothly with one another to form a suction side airfoil surface shape.

9. A turbine nozzle according to claim 8, forming part of a first stage of a turbine.

10. A turbine nozzle according to claim 8, wherein said suction side airfoil surface lies in an envelope within Β±0.105 inches in a direction normal to any suction side airfoil surface location.

11. A turbine nozzle according to claim 10, wherein said suction side airfoil surface is coated, 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 suction side airfoil surface shape.

12. A turbine nozzle according to claim 8, having an outer sidewall surface, said outer sidewall surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table III, wherein the Z values are drop dimensions from said reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by smooth continuing arcs at each distance Z, define an outer sidewall surface shape.

13. A turbine nozzle according to claim 8, having an inner sidewall surface, said inner sidewall surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table IV, wherein the Z values are drop dimensions from said reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by smooth continuing arcs at each distance Z, define an inner sidewall surface shape.

14. A turbine nozzle having an outer sidewall surface, said outer sidewall surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table III, wherein the Z values are drop dimensions from a reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by, smooth continuing arcs at each distance Z, define an outer sidewall surface shape.

15. A turbine nozzle according to claim 14, forming part of a first stage of a turbine.

16. A turbine nozzle according to claim 14, wherein said outer sidewall surface lies in an envelope within Β±0.105 inches in a direction normal to any outer sidewall surface location.

17. A turbine nozzle according to claim 16, wherein said outer sidewall surface is coated, 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 outer sidewall surface shape.

18. The turbine nozzle of claim 14 having an inner sidewall, said inner sidewall surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table IV, wherein the Z values are drop dimensions from said reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by smooth continuing arcs at each distance Z, define an inner sidewall surface shape.

19. A turbine nozzle having an inner sidewall surface, said inner sidewall surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table IV, wherein the Z values are drop dimensions from a reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by smooth continuing arcs at each distance Z, define an inner sidewall surface shape.

20. A turbine nozzle according to claim 19, forming part of a first stage of a turbine.

21. A turbine nozzle according to claim 19, wherein said inner sidewall surface lies in an envelope within Β±0.105 inches in a direction normal to any inner sidewall surface location.

22. A turbine nozzle according to claim 21, wherein said inner sidewall surface is coated, 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 inner sidewall surface shape.

23. A turbine comprising a turbine nozzle having a plurality of airfoils having an airfoil shape, each said airfoil having pressure and suction side airfoil surfaces defining a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Tables I and II, wherein the Z values are drop dimensions from a reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine, and wherein the X and Y values, 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 an airfoil shape.

24. The turbine according to claim 23 including an inner sidewall, said inner sidewall surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table IV, wherein the Z values are drop dimensions from said reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by smooth continuing arcs at each distance Z, define an inner sidewall surface shape.

25. The turbine according to claim 23, including an outer sidewall, said outer sidewall surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table III, wherein the Z values are drop dimensions from said reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by smooth continuing arcs at each distance Z, define an outer sidewall surface shape.

26. The turbine according to claim 25, including an inner sidewall, said inner sidewall surface having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in inches in Table IV, wherein the Z values are drop dimensions from said reference point origin on an outside diameter flowpath along a nozzle airfoil stacking axis perpendicular to a centerline axis of rotation of the turbine; and wherein the X and Y values, when connected by smooth continuing arcs at each distance Z, define an inner sidewall surface shape.

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