PATENT DOCUMENT

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

Full Description:
BACKGROUND OF THE INVENTION 
       [0001]    The present invention is related to the following GE dockets: ______, filed on _, respectively. 
         [0002]    The present invention relates to airfoils for a rotor blade of a gas turbine. In particular, the invention relates to compressor airfoil profiles for various stages of the compressor. In particular, the invention relates to compressor airfoil profiles for either inlet guide vanes, rotors, or stators at various stages of the compressor. 
         [0003]    In a gas turbine, many system requirements should be met at each stage of a gas turbine&#39;s flow path section to meet design goals. These design goals include, but are not limited to, overall improved efficiency and airfoil loading capability. For example, and in no way limiting of the invention, a blade of a compressor stator should achieve thermal and mechanical operating requirements for that particular stage. Further, for example, and in no way limiting of the invention, a blade of a compressor rotor should achieve thermal and mechanical operating requirements for that particular stage. 
       BRIEF DESCRIPTION OF THE INVENTION 
       [0004]    In accordance with one exemplary aspect of the instant invention, an article of manufacture having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE 1. Wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches. The profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape. 
         [0005]    In accordance with another exemplary aspect of the instant invention, a compressor comprises a compressor wheel. The compressor wheel has a plurality of articles of manufacture. Each of the articles of manufacture includes an airfoil having an airfoil shape. The airfoil comprises a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE 1, wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches. The profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape. 
         [0006]    In accordance with yet exemplary another aspect of the instant invention, a compressor comprises a compressor wheel having a plurality of articles of manufacture. Each of the articles of manufacture includes an airfoil having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE 1, wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches. The profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0007]      FIG. 1  is a schematic exemplary representation of a compressor flow path through multiple stages of a gas turbine and illustrates an exemplary airfoil according to an embodiment of the invention; 
           [0008]      FIGS. 2 and 3  are respective perspective exemplary views of a rotor blade according to an embodiment of the invention with the rotor blade airfoil illustrated in conjunction with its platform and its substantially or near axial entry dovetail connection; 
           [0009]      FIGS. 4 and 5  are side elevational views of the rotor blade of  FIG. 2  and associated platform and dovetail connection as viewed in a generally circumferential direction from the pressure and suction sides of the airfoil, respectively; 
           [0010]      FIG. 6  is a cross-sectional view of the rotor blade airfoil taken generally about on line  6 - 6  in  FIG. 5 ; 
           [0011]      FIG. 7  is a perspective views of a rotor blade according to an exemplary embodiment of the invention with coordinate system superimposed thereon; and 
           [0012]      FIG. 8  is a perspective view of a stator blade according to an exemplary embodiment of the invention with coordinate system superimposed thereon. 
       
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
       [0013]    Referring now to the drawings,  FIG. 1  illustrates an axial compressor flow path  1  of a gas turbine compressor  2  that includes a plurality of compressor stages. The compressor stages are sequentially numbered in the Figure. The compressor flow path comprises any number of rotor stages and stator stages, such as eighteen. However, the exact number of rotor and stator stages is a choice of engineering design. Any number of rotor and stator stages can be provided in the combustor, as embodied by the invention. The seventeen rotor stages are merely exemplary of one turbine design. The eighteen rotor stages are not intended to limit the invention in any manner. 
         [0014]    The compressor rotor blades impart kinetic energy to the airflow and therefore bring about a desired pressure rise across the compressor. Directly following the rotor airfoils is a stage of stator airfoils. Both the rotor and stator airfoils turn the airflow, slow the airflow velocity (in the respective airfoil frame of reference), and yield a rise in the static pressure of the airflow. The configuration of the airfoil (along with its interaction with surrounding airfoils), including its peripheral surface provides for stage airflow efficiency, enhanced aeromechanics, smooth laminar flow from stage to stage, reduced thermal stresses, enhanced interrelation of the stages to effectively pass the airflow from stage to stage, and reduced mechanical stresses, among other desirable aspects of the invention. Typically, multiple rows of rotor/stator stages are stacked in axial flow compressors to achieve a desired discharge to inlet pressure ratio. Rotor and stator airfoils can be secured to rotor wheels or stator case by an appropriate attachment configuration, often known as a “root”, “base” or “dovetail” (see  FIGS. 2-5 ). 
         [0015]    A stage of the compressor  2  is exemplarily illustrated in  FIG. 1 . The stage of the compressor  2  comprises a plurality of circumferentially spaced rotor blades  22  mounted on a rotor wheel  51  and a plurality of circumferentially spaced stator blades  23  attached to a static compressor case  59 . Each of the rotor wheels is attached to aft drive shaft  58 , which is connected to the turbine section of the engine. The rotor blades and stator blades lie in the flow path  1  of the compressor. The direction of airflow through the compressor flow path  1 , as embodied by the invention, is indicated by the arrow  60  ( FIG. 1 ). This stage of the compressor  2  is merely exemplarily of the stages of the compressor  2  within the scope of the invention. The illustrated and described stage of the compressor  2  is not intended to limit the invention in any manner. 
         [0016]    The rotor blades  22  are mounted on the rotor wheel  51  forming part of aft drive shaft  58 . Each rotor blade  22 , as illustrated in  FIGS. 2-6 , is provided with a platform  61 , and substantially or near axial entry dovetail  62  for connection with a complementary-shaped mating dovetail, not shown, on the rotor wheel  51 . An axial entry dovetail, however, may be provided with the airfoil profile, as embodied by the invention. Each rotor blade  22  comprises a rotor blade airfoil  63 , as illustrated in  FIGS. 2-6 . Thus, each of the rotor blades  22  has a rotor blade airfoil profile  66  at any cross-section from the airfoil root  64  at a midpoint of platform  61  to the rotor blade tip  65  in the general shape of an airfoil ( FIG. 6 ). 
         [0017]    To define the airfoil shape of the rotor blade airfoil, a unique set or loci of points in space are provided. This unique set or loci of points meet the stage requirements so the stage can be manufactured. This unique loci of points also meets the desired requirements for stage efficiency and reduced thermal and mechanical stresses. The loci of points are arrived at by iteration between aerodynamic and mechanical loadings enabling the compressor to run in an efficient, safe and smooth manner. 
         [0018]    The loci, as embodied by the invention, defines the rotor blade airfoil profile and can comprise a set of points relative to the axis of rotation of the engine. For example, a set of points can be provided to define a rotor blade airfoil profile. 
         [0019]    A Cartesian coordinate system of X, Y and Z values given in the Table below defines a profile of a rotor blade airfoil at various locations along its length. The airfoil, as embodied by the invention, could find an application as a 2 nd  stage airfoil variable stator vane. The coordinate values for the X, Y and Z coordinates are set forth in inches, although other units of dimensions may be used when the values are appropriately converted. These values exclude fillet regions of the platform. The Cartesian coordinate system has orthogonally-related X, Y and Z axes. The X axis lies parallel to the compressor blade&#39;s dovetail axis, which is at a angle to the engine&#39;s centerline, as illustrated in  FIG. 7  for a rotor and  FIG. 8  for a stator. A positive X coordinate value is axial toward the aft, for example the exhaust end of the compressor. A positive Y coordinate value directed normal to the dovetail axis. A positive Z coordinate value is directed radially outward toward tip of the airfoil, which is towards the static casing of the compressor for rotor blades, and directed radially inward towards the engine centerline of the compressor for stator blades. 
         [0020]    For reference purposes only, there is established point-0 passing through the intersection of the airfoil and the platform along the stacking axis, as illustrated in  FIG. 5 . In the exemplary embodiment of the airfoil hereof, the point-0 is defined as the reference section where the Z coordinate of the table above is at 0.000 inches, which is a set predetermined distance from the engine or rotor centerline. 
         [0021]    By defining X and Y coordinate values at selected locations in a Z direction normal to the X, Y plane, the profile section of the rotor blade airfoil, such as, but not limited to the profile section  66  in  FIG. 6 , at each Z distance along the length of the airfoil can be ascertained. By connecting the X and Y values with smooth continuing arcs, each profile section  66  at each distance Z can be fixed. The airfoil profiles of the various surface locations between the distances Z are determined by smoothly connecting the adjacent profile sections  66  to one another, thus forming the airfoil profile. These values represent the airfoil profiles at ambient, non-operating or non-hot conditions and are for an uncoated airfoil. 
         [0022]    The table values are generated and shown to three decimal places for determining the profile of the airfoil. There are typical manufacturing tolerances as well as coatings, which should be accounted for in the actual profile of the airfoil. Accordingly, the values for the profile given are for a nominal airfoil. It will therefore be appreciated that +/−typical manufacturing tolerances, such as, +/−values, including any coating thicknesses, are additive to the X and Y values. Therefore, a distance of about +/−0.160 inches in a direction normal to any surface location along the airfoil profile defines an airfoil profile envelope for a rotor blade airfoil design and compressor. In other words, a distance of about +/−0.160 inches in a direction normal to any surface location along the airfoil profile defines a range of variation between measured points on the actual airfoil surface at nominal cold or room temperature and the ideal position of those points, at the same temperature, as embodied by the invention. The rotor blade airfoil design, as embodied by the invention, is robust to this range of variation without impairment of mechanical and aerodynamic functions. 
         [0023]    The coordinate values given in TABLE 1 below provide the nominal profile envelope for an exemplary 2 nd  stage airfoil variable stator vane. 
         [0000]    
       
         
               
               
               
             
               
               
               
             
           
               
                 TABLE 1 
               
               
                   
               
               
                 X-LOC 
                 Y-LOC 
                 Z-LOC 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 2.135 
                 −2.054 
                 −0.009 
               
               
                 2.134 
                 −2.056 
                 −0.009 
               
               
                 2.132 
                 −2.06 
                 −0.009 
               
               
                 2.126 
                 −2.068 
                 −0.009 
               
               
                 2.113 
                 −2.076 
                 −0.009 
               
               
                 2.087 
                 −2.074 
                 −0.009 
               
               
                 2.051 
                 −2.066 
                 −0.009 
               
               
                 2.005 
                 −2.056 
                 −0.009 
               
               
                 1.946 
                 −2.043 
                 −0.009 
               
               
                 1.871 
                 −2.024 
                 −0.009 
               
               
                 1.784 
                 −2.002 
                 −0.009 
               
               
                 1.691 
                 −1.978 
                 −0.009 
               
               
                 1.587 
                 −1.948 
                 −0.009 
               
               
                 1.472 
                 −1.914 
                 −0.009 
               
               
                 1.347 
                 −1.875 
                 −0.009 
               
               
                 1.216 
                 −1.831 
                 −0.009 
               
               
                 1.081 
                 −1.782 
                 −0.009 
               
               
                 0.94 
                 −1.73 
                 −0.009 
               
               
                 0.795 
                 −1.673 
                 −0.009 
               
               
                 0.646 
                 −1.61 
                 −0.009 
               
               
                 0.493 
                 −1.543 
                 −0.009 
               
               
                 0.336 
                 −1.469 
                 −0.009 
               
               
                 0.176 
                 −1.388 
                 −0.009 
               
               
                 0.017 
                 −1.304 
                 −0.009 
               
               
                 −0.139 
                 −1.216 
                 −0.009 
               
               
                 −0.293 
                 −1.123 
                 −0.009 
               
               
                 −0.444 
                 −1.026 
                 −0.009 
               
               
                 −0.592 
                 −0.925 
                 −0.009 
               
               
                 −0.737 
                 −0.819 
                 −0.009 
               
               
                 −0.878 
                 −0.708 
                 −0.009 
               
               
                 −1.016 
                 −0.594 
                 −0.009 
               
               
                 −1.149 
                 −0.475 
                 −0.009 
               
               
                 −1.278 
                 −0.352 
                 −0.009 
               
               
                 −1.402 
                 −0.225 
                 −0.009 
               
               
                 −1.519 
                 −0.099 
                 −0.009 
               
               
                 −1.629 
                 0.026 
                 −0.009 
               
               
                 −1.731 
                 0.15 
                 −0.009 
               
               
                 −1.825 
                 0.273 
                 −0.009 
               
               
                 −1.914 
                 0.393 
                 −0.009 
               
               
                 −1.995 
                 0.512 
                 −0.009 
               
               
                 −2.07 
                 0.627 
                 −0.009 
               
               
                 −2.135 
                 0.734 
                 −0.009 
               
               
                 −2.192 
                 0.833 
                 −0.009 
               
               
                 −2.24 
                 0.922 
                 −0.009 
               
               
                 −2.28 
                 1.003 
                 −0.009 
               
               
                 −2.313 
                 1.073 
                 −0.009 
               
               
                 −2.34 
                 1.133 
                 −0.009 
               
               
                 −2.361 
                 1.185 
                 −0.009 
               
               
                 −2.378 
                 1.23 
                 −0.009 
               
               
                 −2.389 
                 1.267 
                 −0.009 
               
               
                 −2.398 
                 1.297 
                 −0.009 
               
               
                 −2.401 
                 1.321 
                 −0.009 
               
               
                 −2.401 
                 1.339 
                 −0.009 
               
               
                 −2.398 
                 1.354 
                 −0.009 
               
               
                 −2.392 
                 1.364 
                 −0.009 
               
               
                 −2.386 
                 1.37 
                 −0.009 
               
               
                 −2.378 
                 1.374 
                 −0.009 
               
               
                 −2.366 
                 1.374 
                 −0.009 
               
               
                 −2.352 
                 1.372 
                 −0.009 
               
               
                 −2.336 
                 1.365 
                 −0.009 
               
               
                 −2.317 
                 1.353 
                 −0.009 
               
               
                 −2.294 
                 1.334 
                 −0.009 
               
               
                 −2.265 
                 1.31 
                 −0.009 
               
               
                 −2.232 
                 1.279 
                 −0.009 
               
               
                 −2.193 
                 1.242 
                 −0.009 
               
               
                 −2.148 
                 1.197 
                 −0.009 
               
               
                 −2.096 
                 1.144 
                 −0.009 
               
               
                 −2.037 
                 1.082 
                 −0.009 
               
               
                 −1.969 
                 1.011 
                 −0.009 
               
               
                 −1.894 
                 0.932 
                 −0.009 
               
               
                 −1.811 
                 0.845 
                 −0.009 
               
               
                 −1.719 
                 0.75 
                 −0.009 
               
               
                 −1.623 
                 0.652 
                 −0.009 
               
               
                 −1.522 
                 0.55 
                 −0.009 
               
               
                 −1.416 
                 0.445 
                 −0.009 
               
               
                 −1.304 
                 0.337 
                 −0.009 
               
               
                 −1.187 
                 0.227 
                 −0.009 
               
               
                 −1.065 
                 0.115 
                 −0.009 
               
               
                 −0.937 
                 0 
                 −0.009 
               
               
                 −0.808 
                 −0.113 
                 −0.009 
               
               
                 −0.677 
                 −0.225 
                 −0.009 
               
               
                 −0.545 
                 −0.334 
                 −0.009 
               
               
                 −0.412 
                 −0.441 
                 −0.009 
               
               
                 −0.277 
                 −0.547 
                 −0.009 
               
               
                 −0.141 
                 −0.651 
                 −0.009 
               
               
                 −0.004 
                 −0.754 
                 −0.009 
               
               
                 0.134 
                 −0.855 
                 −0.009 
               
               
                 0.273 
                 −0.955 
                 −0.009 
               
               
                 0.413 
                 −1.053 
                 −0.009 
               
               
                 0.555 
                 −1.149 
                 −0.009 
               
               
                 0.693 
                 −1.24 
                 −0.009 
               
               
                 0.828 
                 −1.327 
                 −0.009 
               
               
                 0.959 
                 −1.408 
                 −0.009 
               
               
                 1.086 
                 −1.486 
                 −0.009 
               
               
                 1.21 
                 −1.558 
                 −0.009 
               
               
                 1.331 
                 −1.625 
                 −0.009 
               
               
                 1.447 
                 −1.689 
                 −0.009 
               
               
                 1.558 
                 −1.748 
                 −0.009 
               
               
                 1.661 
                 −1.8 
                 −0.009 
               
               
                 1.753 
                 −1.846 
                 −0.009 
               
               
                 1.836 
                 −1.886 
                 −0.009 
               
               
                 1.914 
                 −1.922 
                 −0.009 
               
               
                 1.982 
                 −1.953 
                 −0.009 
               
               
                 2.035 
                 −1.976 
                 −0.009 
               
               
                 2.077 
                 −1.994 
                 −0.009 
               
               
                 2.109 
                 −2.008 
                 −0.009 
               
               
                 2.13 
                 −2.023 
                 −0.009 
               
               
                 2.135 
                 −2.036 
                 −0.009 
               
               
                 2.136 
                 −2.045 
                 −0.009 
               
               
                 2.136 
                 −2.049 
                 −0.009 
               
               
                 2.136 
                 −2.051 
                 −0.009 
               
               
                 2.135 
                 −2.052 
                 −0.009 
               
               
                 2.314 
                 −1.193 
                 1.697 
               
               
                 2.313 
                 −1.195 
                 1.697 
               
               
                 2.311 
                 −1.199 
                 1.697 
               
               
                 2.305 
                 −1.207 
                 1.697 
               
               
                 2.292 
                 −1.213 
                 1.697 
               
               
                 2.266 
                 −1.211 
                 1.697 
               
               
                 2.232 
                 −1.204 
                 1.697 
               
               
                 2.186 
                 −1.195 
                 1.697 
               
               
                 2.129 
                 −1.184 
                 1.697 
               
               
                 2.054 
                 −1.169 
                 1.697 
               
               
                 1.969 
                 −1.151 
                 1.697 
               
               
                 1.878 
                 −1.131 
                 1.697 
               
               
                 1.775 
                 −1.107 
                 1.697 
               
               
                 1.662 
                 −1.08 
                 1.697 
               
               
                 1.537 
                 −1.048 
                 1.697 
               
               
                 1.408 
                 −1.014 
                 1.697 
               
               
                 1.273 
                 −0.977 
                 1.697 
               
               
                 1.133 
                 −0.936 
                 1.697 
               
               
                 0.988 
                 −0.892 
                 1.697 
               
               
                 0.838 
                 −0.845 
                 1.697 
               
               
                 0.683 
                 −0.793 
                 1.697 
               
               
                 0.523 
                 −0.737 
                 1.697 
               
               
                 0.359 
                 −0.676 
                 1.697 
               
               
                 0.197 
                 −0.612 
                 1.697 
               
               
                 0.035 
                 −0.544 
                 1.697 
               
               
                 −0.124 
                 −0.473 
                 1.697 
               
               
                 −0.282 
                 −0.398 
                 1.697 
               
               
                 −0.438 
                 −0.318 
                 1.697 
               
               
                 −0.592 
                 −0.235 
                 1.697 
               
               
                 −0.743 
                 −0.147 
                 1.697 
               
               
                 −0.891 
                 −0.056 
                 1.697 
               
               
                 −1.036 
                 0.038 
                 1.697 
               
               
                 −1.179 
                 0.137 
                 1.697 
               
               
                 −1.318 
                 0.24 
                 1.697 
               
               
                 −1.45 
                 0.344 
                 1.697 
               
               
                 −1.574 
                 0.448 
                 1.697 
               
               
                 −1.691 
                 0.553 
                 1.697 
               
               
                 −1.801 
                 0.657 
                 1.697 
               
               
                 −1.904 
                 0.761 
                 1.697 
               
               
                 −2 
                 0.863 
                 1.697 
               
               
                 −2.088 
                 0.964 
                 1.697 
               
               
                 −2.167 
                 1.058 
                 1.697 
               
               
                 −2.235 
                 1.145 
                 1.697 
               
               
                 −2.295 
                 1.224 
                 1.697 
               
               
                 −2.345 
                 1.296 
                 1.697 
               
               
                 −2.387 
                 1.359 
                 1.697 
               
               
                 −2.421 
                 1.414 
                 1.697 
               
               
                 −2.448 
                 1.462 
                 1.697 
               
               
                 −2.47 
                 1.503 
                 1.697 
               
               
                 −2.486 
                 1.537 
                 1.697 
               
               
                 −2.498 
                 1.566 
                 1.697 
               
               
                 −2.505 
                 1.588 
                 1.697 
               
               
                 −2.507 
                 1.605 
                 1.697 
               
               
                 −2.506 
                 1.62 
                 1.697 
               
               
                 −2.502 
                 1.631 
                 1.697 
               
               
                 −2.496 
                 1.638 
                 1.697 
               
               
                 −2.489 
                 1.642 
                 1.697 
               
               
                 −2.478 
                 1.645 
                 1.697 
               
               
                 −2.464 
                 1.644 
                 1.697 
               
               
                 −2.448 
                 1.639 
                 1.697 
               
               
                 −2.428 
                 1.63 
                 1.697 
               
               
                 −2.403 
                 1.614 
                 1.697 
               
               
                 −2.372 
                 1.595 
                 1.697 
               
               
                 −2.335 
                 1.569 
                 1.697 
               
               
                 −2.292 
                 1.539 
                 1.697 
               
               
                 −2.243 
                 1.502 
                 1.697 
               
               
                 −2.185 
                 1.458 
                 1.697 
               
               
                 −2.117 
                 1.407 
                 1.697 
               
               
                 −2.041 
                 1.349 
                 1.697 
               
               
                 −1.956 
                 1.284 
                 1.697 
               
               
                 −1.863 
                 1.212 
                 1.697 
               
               
                 −1.76 
                 1.134 
                 1.697 
               
               
                 −1.652 
                 1.053 
                 1.697 
               
               
                 −1.539 
                 0.97 
                 1.697 
               
               
                 −1.42 
                 0.885 
                 1.697 
               
               
                 −1.296 
                 0.798 
                 1.697 
               
               
                 −1.166 
                 0.709 
                 1.697 
               
               
                 −1.03 
                 0.619 
                 1.697 
               
               
                 −0.888 
                 0.528 
                 1.697 
               
               
                 −0.746 
                 0.437 
                 1.697 
               
               
                 −0.603 
                 0.348 
                 1.697 
               
               
                 −0.46 
                 0.26 
                 1.697 
               
               
                 −0.316 
                 0.172 
                 1.697 
               
               
                 −0.171 
                 0.086 
                 1.697 
               
               
                 −0.026 
                 0 
                 1.697 
               
               
                 0.119 
                 −0.085 
                 1.697 
               
               
                 0.265 
                 −0.169 
                 1.697 
               
               
                 0.412 
                 −0.252 
                 1.697 
               
               
                 0.559 
                 −0.333 
                 1.697 
               
               
                 0.707 
                 −0.414 
                 1.697 
               
               
                 0.851 
                 −0.491 
                 1.697 
               
               
                 0.99 
                 −0.563 
                 1.697 
               
               
                 1.125 
                 −0.632 
                 1.697 
               
               
                 1.256 
                 −0.698 
                 1.697 
               
               
                 1.382 
                 −0.759 
                 1.697 
               
               
                 1.504 
                 −0.817 
                 1.697 
               
               
                 1.622 
                 −0.871 
                 1.697 
               
               
                 1.735 
                 −0.921 
                 1.697 
               
               
                 1.837 
                 −0.967 
                 1.697 
               
               
                 1.93 
                 −1.007 
                 1.697 
               
               
                 2.014 
                 −1.042 
                 1.697 
               
               
                 2.092 
                 −1.074 
                 1.697 
               
               
                 2.16 
                 −1.101 
                 1.697 
               
               
                 2.212 
                 −1.122 
                 1.697 
               
               
                 2.254 
                 −1.138 
                 1.697 
               
               
                 2.285 
                 −1.151 
                 1.697 
               
               
                 2.307 
                 −1.163 
                 1.697 
               
               
                 2.314 
                 −1.175 
                 1.697 
               
               
                 2.315 
                 −1.184 
                 1.697 
               
               
                 2.315 
                 −1.188 
                 1.697 
               
               
                 2.315 
                 −1.19 
                 1.697 
               
               
                 2.314 
                 −1.191 
                 1.697 
               
               
                 2.352 
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                 −1.56 
                 1.599 
                 13.638 
               
               
                 −1.633 
                 1.667 
                 13.638 
               
               
                 −1.699 
                 1.73 
                 13.638 
               
               
                 −1.757 
                 1.787 
                 13.638 
               
               
                 −1.807 
                 1.838 
                 13.638 
               
               
                 −1.85 
                 1.884 
                 13.638 
               
               
                 −1.885 
                 1.923 
                 13.638 
               
               
                 −1.915 
                 1.957 
                 13.638 
               
               
                 −1.939 
                 1.986 
                 13.638 
               
               
                 −1.958 
                 2.01 
                 13.638 
               
               
                 −1.973 
                 2.031 
                 13.638 
               
               
                 −1.983 
                 2.047 
                 13.638 
               
               
                 −1.99 
                 2.059 
                 13.638 
               
               
                 −1.995 
                 2.07 
                 13.638 
               
               
                 −1.997 
                 2.08 
                 13.638 
               
               
                 −1.995 
                 2.087 
                 13.638 
               
               
                 −1.988 
                 2.089 
                 13.638 
               
               
                 −1.979 
                 2.087 
                 13.638 
               
               
                 −1.968 
                 2.083 
                 13.638 
               
               
                 −1.956 
                 2.076 
                 13.638 
               
               
                 −1.94 
                 2.067 
                 13.638 
               
               
                 −1.919 
                 2.053 
                 13.638 
               
               
                 −1.895 
                 2.035 
                 13.638 
               
               
                 −1.865 
                 2.013 
                 13.638 
               
               
                 −1.83 
                 1.987 
                 13.638 
               
               
                 −1.788 
                 1.956 
                 13.638 
               
               
                 −1.739 
                 1.919 
                 13.638 
               
               
                 −1.683 
                 1.877 
                 13.638 
               
               
                 −1.619 
                 1.83 
                 13.638 
               
               
                 −1.547 
                 1.777 
                 13.638 
               
               
                 −1.467 
                 1.72 
                 13.638 
               
               
                 −1.379 
                 1.657 
                 13.638 
               
               
                 −1.287 
                 1.592 
                 13.638 
               
               
                 −1.19 
                 1.526 
                 13.638 
               
               
                 −1.09 
                 1.457 
                 13.638 
               
               
                 −0.985 
                 1.386 
                 13.638 
               
               
                 −0.875 
                 1.314 
                 13.638 
               
               
                 −0.761 
                 1.239 
                 13.638 
               
               
                 −0.643 
                 1.163 
                 13.638 
               
               
                 −0.524 
                 1.088 
                 13.638 
               
               
                 −0.404 
                 1.015 
                 13.638 
               
               
                 −0.283 
                 0.942 
                 13.638 
               
               
                 −0.162 
                 0.871 
                 13.638 
               
               
                 −0.04 
                 0.801 
                 13.638 
               
               
                 0.083 
                 0.733 
                 13.638 
               
               
                 0.206 
                 0.665 
                 13.638 
               
               
                 0.329 
                 0.598 
                 13.638 
               
               
                 0.453 
                 0.531 
                 13.638 
               
               
                 0.577 
                 0.466 
                 13.638 
               
               
                 0.703 
                 0.403 
                 13.638 
               
               
                 0.825 
                 0.345 
                 13.638 
               
               
                 0.944 
                 0.29 
                 13.638 
               
               
                 1.06 
                 0.239 
                 13.638 
               
               
                 1.172 
                 0.191 
                 13.638 
               
               
                 1.28 
                 0.147 
                 13.638 
               
               
                 1.385 
                 0.105 
                 13.638 
               
               
                 1.486 
                 0.066 
                 13.638 
               
               
                 1.583 
                 0.03 
                 13.638 
               
               
                 1.671 
                 −0.002 
                 13.638 
               
               
                 1.751 
                 −0.03 
                 13.638 
               
               
                 1.822 
                 −0.054 
                 13.638 
               
               
                 1.889 
                 −0.076 
                 13.638 
               
               
                 1.947 
                 −0.095 
                 13.638 
               
               
                 1.992 
                 −0.109 
                 13.638 
               
               
                 2.028 
                 −0.121 
                 13.638 
               
               
                 2.055 
                 −0.129 
                 13.638 
               
               
                 2.074 
                 −0.138 
                 13.638 
               
               
                 2.081 
                 −0.147 
                 13.638 
               
               
                 2.082 
                 −0.155 
                 13.638 
               
               
                 2.082 
                 −0.159 
                 13.638 
               
               
                 2.081 
                 −0.16 
                 13.638 
               
               
                 2.081 
                 −0.161 
                 13.638 
               
               
                 2.017 
                 −0.883 
                 15.343 
               
               
                 2.016 
                 −0.885 
                 15.343 
               
               
                 2.015 
                 −0.888 
                 15.343 
               
               
                 2.01 
                 −0.894 
                 15.343 
               
               
                 1.999 
                 −0.899 
                 15.343 
               
               
                 1.978 
                 −0.897 
                 15.343 
               
               
                 1.95 
                 −0.892 
                 15.343 
               
               
                 1.913 
                 −0.884 
                 15.343 
               
               
                 1.866 
                 −0.875 
                 15.343 
               
               
                 1.805 
                 −0.862 
                 15.343 
               
               
                 1.735 
                 −0.846 
                 15.343 
               
               
                 1.661 
                 −0.829 
                 15.343 
               
               
                 1.577 
                 −0.81 
                 15.343 
               
               
                 1.484 
                 −0.787 
                 15.343 
               
               
                 1.383 
                 −0.761 
                 15.343 
               
               
                 1.276 
                 −0.732 
                 15.343 
               
               
                 1.166 
                 −0.701 
                 15.343 
               
               
                 1.052 
                 −0.667 
                 15.343 
               
               
                 0.933 
                 −0.63 
                 15.343 
               
               
                 0.811 
                 −0.589 
                 15.343 
               
               
                 0.685 
                 −0.543 
                 15.343 
               
               
                 0.557 
                 −0.492 
                 15.343 
               
               
                 0.425 
                 −0.436 
                 15.343 
               
               
                 0.295 
                 −0.376 
                 15.343 
               
               
                 0.168 
                 −0.311 
                 15.343 
               
               
                 0.042 
                 −0.242 
                 15.343 
               
               
                 −0.081 
                 −0.17 
                 15.343 
               
               
                 −0.203 
                 −0.094 
                 15.343 
               
               
                 −0.323 
                 −0.016 
                 15.343 
               
               
                 −0.441 
                 0.065 
                 15.343 
               
               
                 −0.558 
                 0.148 
                 15.343 
               
               
                 −0.674 
                 0.232 
                 15.343 
               
               
                 −0.788 
                 0.319 
                 15.343 
               
               
                 −0.9 
                 0.407 
                 15.343 
               
               
                 −1.008 
                 0.494 
                 15.343 
               
               
                 −1.111 
                 0.579 
                 15.343 
               
               
                 −1.209 
                 0.662 
                 15.343 
               
               
                 −1.302 
                 0.744 
                 15.343 
               
               
                 −1.391 
                 0.824 
                 15.343 
               
               
                 −1.474 
                 0.902 
                 15.343 
               
               
                 −1.553 
                 0.978 
                 15.343 
               
               
                 −1.624 
                 1.049 
                 15.343 
               
               
                 −1.687 
                 1.114 
                 15.343 
               
               
                 −1.743 
                 1.173 
                 15.343 
               
               
                 −1.791 
                 1.226 
                 15.343 
               
               
                 −1.832 
                 1.273 
                 15.343 
               
               
                 −1.866 
                 1.313 
                 15.343 
               
               
                 −1.894 
                 1.348 
                 15.343 
               
               
                 −1.917 
                 1.378 
                 15.343 
               
               
                 −1.935 
                 1.403 
                 15.343 
               
               
                 −1.949 
                 1.424 
                 15.343 
               
               
                 −1.958 
                 1.441 
                 15.343 
               
               
                 −1.965 
                 1.454 
                 15.343 
               
               
                 −1.969 
                 1.465 
                 15.343 
               
               
                 −1.971 
                 1.474 
                 15.343 
               
               
                 −1.969 
                 1.481 
                 15.343 
               
               
                 −1.962 
                 1.483 
                 15.343 
               
               
                 −1.953 
                 1.48 
                 15.343 
               
               
                 −1.943 
                 1.474 
                 15.343 
               
               
                 −1.931 
                 1.467 
                 15.343 
               
               
                 −1.916 
                 1.456 
                 15.343 
               
               
                 −1.896 
                 1.441 
                 15.343 
               
               
                 −1.873 
                 1.422 
                 15.343 
               
               
                 −1.844 
                 1.398 
                 15.343 
               
               
                 −1.811 
                 1.37 
                 15.343 
               
               
                 −1.771 
                 1.337 
                 15.343 
               
               
                 −1.724 
                 1.298 
                 15.343 
               
               
                 −1.67 
                 1.254 
                 15.343 
               
               
                 −1.608 
                 1.204 
                 15.343 
               
               
                 −1.538 
                 1.148 
                 15.343 
               
               
                 −1.461 
                 1.087 
                 15.343 
               
               
                 −1.377 
                 1.02 
                 15.343 
               
               
                 −1.288 
                 0.951 
                 15.343 
               
               
                 −1.195 
                 0.88 
                 15.343 
               
               
                 −1.098 
                 0.807 
                 15.343 
               
               
                 −0.997 
                 0.731 
                 15.343 
               
               
                 −0.891 
                 0.654 
                 15.343 
               
               
                 −0.781 
                 0.574 
                 15.343 
               
               
                 −0.667 
                 0.493 
                 15.343 
               
               
                 −0.552 
                 0.412 
                 15.343 
               
               
                 −0.436 
                 0.332 
                 15.343 
               
               
                 −0.32 
                 0.254 
                 15.343 
               
               
                 −0.202 
                 0.176 
                 15.343 
               
               
                 −0.084 
                 0.101 
                 15.343 
               
               
                 0.035 
                 0.027 
                 15.343 
               
               
                 0.156 
                 −0.045 
                 15.343 
               
               
                 0.277 
                 −0.115 
                 15.343 
               
               
                 0.399 
                 −0.183 
                 15.343 
               
               
                 0.522 
                 −0.25 
                 15.343 
               
               
                 0.646 
                 −0.313 
                 15.343 
               
               
                 0.768 
                 −0.373 
                 15.343 
               
               
                 0.886 
                 −0.428 
                 15.343 
               
               
                 1.001 
                 −0.48 
                 15.343 
               
               
                 1.112 
                 −0.528 
                 15.343 
               
               
                 1.22 
                 −0.573 
                 15.343 
               
               
                 1.324 
                 −0.615 
                 15.343 
               
               
                 1.424 
                 −0.654 
                 15.343 
               
               
                 1.521 
                 −0.691 
                 15.343 
               
               
                 1.609 
                 −0.723 
                 15.343 
               
               
                 1.688 
                 −0.751 
                 15.343 
               
               
                 1.759 
                 −0.775 
                 15.343 
               
               
                 1.826 
                 −0.798 
                 15.343 
               
               
                 1.883 
                 −0.816 
                 15.343 
               
               
                 1.928 
                 −0.831 
                 15.343 
               
               
                 1.964 
                 −0.842 
                 15.343 
               
               
                 1.991 
                 −0.85 
                 15.343 
               
               
                 2.01 
                 −0.859 
                 15.343 
               
               
                 2.016 
                 −0.868 
                 15.343 
               
               
                 2.018 
                 −0.876 
                 15.343 
               
               
                 2.018 
                 −0.879 
                 15.343 
               
               
                 2.017 
                 −0.881 
                 15.343 
               
               
                 2.017 
                 −0.882 
                 15.343 
               
               
                 1.867 
                 −1.611 
                 17.049 
               
               
                 1.867 
                 −1.613 
                 17.049 
               
               
                 1.865 
                 −1.616 
                 17.049 
               
               
                 1.859 
                 −1.622 
                 17.049 
               
               
                 1.848 
                 −1.626 
                 17.049 
               
               
                 1.827 
                 −1.622 
                 17.049 
               
               
                 1.799 
                 −1.614 
                 17.049 
               
               
                 1.762 
                 −1.604 
                 17.049 
               
               
                 1.716 
                 −1.592 
                 17.049 
               
               
                 1.655 
                 −1.575 
                 17.049 
               
               
                 1.586 
                 −1.556 
                 17.049 
               
               
                 1.512 
                 −1.535 
                 17.049 
               
               
                 1.429 
                 −1.511 
                 17.049 
               
               
                 1.337 
                 −1.484 
                 17.049 
               
               
                 1.236 
                 −1.454 
                 17.049 
               
               
                 1.13 
                 −1.42 
                 17.049 
               
               
                 1.021 
                 −1.384 
                 17.049 
               
               
                 0.908 
                 −1.344 
                 17.049 
               
               
                 0.791 
                 −1.3 
                 17.049 
               
               
                 0.67 
                 −1.252 
                 17.049 
               
               
                 0.547 
                 −1.199 
                 17.049 
               
               
                 0.421 
                 −1.14 
                 17.049 
               
               
                 0.292 
                 −1.076 
                 17.049 
               
               
                 0.166 
                 −1.006 
                 17.049 
               
               
                 0.044 
                 −0.932 
                 17.049 
               
               
                 −0.076 
                 −0.853 
                 17.049 
               
               
                 −0.193 
                 −0.768 
                 17.049 
               
               
                 −0.307 
                 −0.68 
                 17.049 
               
               
                 −0.417 
                 −0.587 
                 17.049 
               
               
                 −0.525 
                 −0.492 
                 17.049 
               
               
                 −0.63 
                 −0.393 
                 17.049 
               
               
                 −0.734 
                 −0.293 
                 17.049 
               
               
                 −0.836 
                 −0.192 
                 17.049 
               
               
                 −0.936 
                 −0.088 
                 17.049 
               
               
                 −1.032 
                 0.013 
                 17.049 
               
               
                 −1.123 
                 0.111 
                 17.049 
               
               
                 −1.211 
                 0.207 
                 17.049 
               
               
                 −1.294 
                 0.3 
                 17.049 
               
               
                 −1.373 
                 0.39 
                 17.049 
               
               
                 −1.448 
                 0.478 
                 17.049 
               
               
                 −1.519 
                 0.562 
                 17.049 
               
               
                 −1.583 
                 0.64 
                 17.049 
               
               
                 −1.641 
                 0.711 
                 17.049 
               
               
                 −1.691 
                 0.775 
                 17.049 
               
               
                 −1.734 
                 0.833 
                 17.049 
               
               
                 −1.771 
                 0.883 
                 17.049 
               
               
                 −1.801 
                 0.927 
                 17.049 
               
               
                 −1.826 
                 0.964 
                 17.049 
               
               
                 −1.847 
                 0.996 
                 17.049 
               
               
                 −1.863 
                 1.023 
                 17.049 
               
               
                 −1.875 
                 1.045 
                 17.049 
               
               
                 −1.883 
                 1.062 
                 17.049 
               
               
                 −1.889 
                 1.076 
                 17.049 
               
               
                 −1.892 
                 1.087 
                 17.049 
               
               
                 −1.893 
                 1.097 
                 17.049 
               
               
                 −1.89 
                 1.103 
                 17.049 
               
               
                 −1.883 
                 1.104 
                 17.049 
               
               
                 −1.875 
                 1.1 
                 17.049 
               
               
                 −1.865 
                 1.094 
                 17.049 
               
               
                 −1.854 
                 1.085 
                 17.049 
               
               
                 −1.84 
                 1.072 
                 17.049 
               
               
                 −1.822 
                 1.055 
                 17.049 
               
               
                 −1.801 
                 1.033 
                 17.049 
               
               
                 −1.775 
                 1.006 
                 17.049 
               
               
                 −1.744 
                 0.974 
                 17.049 
               
               
                 −1.708 
                 0.937 
                 17.049 
               
               
                 −1.666 
                 0.893 
                 17.049 
               
               
                 −1.616 
                 0.842 
                 17.049 
               
               
                 −1.559 
                 0.785 
                 17.049 
               
               
                 −1.496 
                 0.721 
                 17.049 
               
               
                 −1.426 
                 0.651 
                 17.049 
               
               
                 −1.349 
                 0.575 
                 17.049 
               
               
                 −1.268 
                 0.495 
                 17.049 
               
               
                 −1.184 
                 0.412 
                 17.049 
               
               
                 −1.097 
                 0.326 
                 17.049 
               
               
                 −1.006 
                 0.236 
                 17.049 
               
               
                 −0.912 
                 0.144 
                 17.049 
               
               
                 −0.813 
                 0.048 
                 17.049 
               
               
                 −0.711 
                 −0.049 
                 17.049 
               
               
                 −0.607 
                 −0.146 
                 17.049 
               
               
                 −0.503 
                 −0.242 
                 17.049 
               
               
                 −0.397 
                 −0.337 
                 17.049 
               
               
                 −0.29 
                 −0.429 
                 17.049 
               
               
                 −0.181 
                 −0.518 
                 17.049 
               
               
                 −0.069 
                 −0.604 
                 17.049 
               
               
                 0.044 
                 −0.686 
                 17.049 
               
               
                 0.16 
                 −0.764 
                 17.049 
               
               
                 0.278 
                 −0.839 
                 17.049 
               
               
                 0.398 
                 −0.911 
                 17.049 
               
               
                 0.519 
                 −0.981 
                 17.049 
               
               
                 0.637 
                 −1.046 
                 17.049 
               
               
                 0.753 
                 −1.107 
                 17.049 
               
               
                 0.865 
                 −1.164 
                 17.049 
               
               
                 0.975 
                 −1.216 
                 17.049 
               
               
                 1.081 
                 −1.266 
                 17.049 
               
               
                 1.184 
                 −1.312 
                 17.049 
               
               
                 1.283 
                 −1.355 
                 17.049 
               
               
                 1.378 
                 −1.395 
                 17.049 
               
               
                 1.465 
                 −1.431 
                 17.049 
               
               
                 1.543 
                 −1.462 
                 17.049 
               
               
                 1.613 
                 −1.49 
                 17.049 
               
               
                 1.679 
                 −1.516 
                 17.049 
               
               
                 1.736 
                 −1.538 
                 17.049 
               
               
                 1.78 
                 −1.554 
                 17.049 
               
               
                 1.815 
                 −1.568 
                 17.049 
               
               
                 1.841 
                 −1.578 
                 17.049 
               
               
                 1.86 
                 −1.587 
                 17.049 
               
               
                 1.867 
                 −1.596 
                 17.049 
               
               
                 1.869 
                 −1.604 
                 17.049 
               
               
                 1.868 
                 −1.607 
                 17.049 
               
               
                 1.868 
                 −1.609 
                 17.049 
               
               
                 1.868 
                 −1.61 
                 17.049 
               
               
                   
               
             
          
         
       
     
         [0024]    It will also be appreciated that the exemplary airfoil(s) disclosed in the above Table 1 may be scaled up or down geometrically for use in other similar compressor designs. Consequently, the coordinate values set forth in the Table 1 may be scaled upwardly or downwardly such that the airfoil profile shape remains unchanged. A scaled version of the coordinates in Table 1 would be represented by X, Y and Z coordinate values of Table 1 multiplied or divided by a constant. 
         [0025]    While various embodiments are described herein, it will be appreciated from the specification that various combinations of elements, variations or improvements therein may be made by those skilled in the art, and are within the scope of the invention.