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 1 st  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 1 st  stage airfoil variable stator vane. 
         [0000]    
       
         
               
               
               
             
               
               
               
             
           
               
                 TABLE 1 
               
               
                   
               
               
                 X-LOC 
                 Y-LOC 
                 Z-LOC 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 3.117 
                 −2.448 
                 0.093 
               
               
                 3.116 
                 −2.451 
                 0.093 
               
               
                 3.114 
                 −2.457 
                 0.093 
               
               
                 3.106 
                 −2.467 
                 0.093 
               
               
                 3.09 
                 −2.477 
                 0.093 
               
               
                 3.057 
                 −2.476 
                 0.093 
               
               
                 3.012 
                 −2.467 
                 0.093 
               
               
                 2.952 
                 −2.454 
                 0.093 
               
               
                 2.878 
                 −2.438 
                 0.093 
               
               
                 2.782 
                 −2.415 
                 0.093 
               
               
                 2.672 
                 −2.387 
                 0.093 
               
               
                 2.555 
                 −2.355 
                 0.093 
               
               
                 2.424 
                 −2.317 
                 0.093 
               
               
                 2.281 
                 −2.271 
                 0.093 
               
               
                 2.124 
                 −2.218 
                 0.093 
               
               
                 1.961 
                 −2.159 
                 0.093 
               
               
                 1.794 
                 −2.094 
                 0.093 
               
               
                 1.62 
                 −2.022 
                 0.093 
               
               
                 1.442 
                 −1.943 
                 0.093 
               
               
                 1.258 
                 −1.858 
                 0.093 
               
               
                 1.07 
                 −1.764 
                 0.093 
               
               
                 0.877 
                 −1.661 
                 0.093 
               
               
                 0.68 
                 −1.55 
                 0.093 
               
               
                 0.486 
                 −1.433 
                 0.093 
               
               
                 0.294 
                 −1.311 
                 0.093 
               
               
                 0.107 
                 −1.184 
                 0.093 
               
               
                 −0.076 
                 −1.052 
                 0.093 
               
               
                 −0.255 
                 −0.915 
                 0.093 
               
               
                 −0.429 
                 −0.773 
                 0.093 
               
               
                 −0.599 
                 −0.625 
                 0.093 
               
               
                 −0.763 
                 −0.472 
                 0.093 
               
               
                 −0.924 
                 −0.314 
                 0.093 
               
               
                 −1.079 
                 −0.15 
                 0.093 
               
               
                 −1.229 
                 0.02 
                 0.093 
               
               
                 −1.37 
                 0.189 
                 0.093 
               
               
                 −1.5 
                 0.357 
                 0.093 
               
               
                 −1.62 
                 0.522 
                 0.093 
               
               
                 −1.73 
                 0.684 
                 0.093 
               
               
                 −1.832 
                 0.842 
                 0.093 
               
               
                 −1.925 
                 0.997 
                 0.093 
               
               
                 −2.011 
                 1.148 
                 0.093 
               
               
                 −2.084 
                 1.288 
                 0.093 
               
               
                 −2.148 
                 1.417 
                 0.093 
               
               
                 −2.2 
                 1.535 
                 0.093 
               
               
                 −2.244 
                 1.641 
                 0.093 
               
               
                 −2.279 
                 1.734 
                 0.093 
               
               
                 −2.306 
                 1.813 
                 0.093 
               
               
                 −2.327 
                 1.882 
                 0.093 
               
               
                 −2.342 
                 1.94 
                 0.093 
               
               
                 −2.353 
                 1.988 
                 0.093 
               
               
                 −2.359 
                 2.028 
                 0.093 
               
               
                 −2.36 
                 2.058 
                 0.093 
               
               
                 −2.357 
                 2.081 
                 0.093 
               
               
                 −2.351 
                 2.1 
                 0.093 
               
               
                 −2.343 
                 2.112 
                 0.093 
               
               
                 −2.334 
                 2.12 
                 0.093 
               
               
                 −2.324 
                 2.124 
                 0.093 
               
               
                 −2.309 
                 2.125 
                 0.093 
               
               
                 −2.291 
                 2.121 
                 0.093 
               
               
                 −2.272 
                 2.113 
                 0.093 
               
               
                 −2.247 
                 2.097 
                 0.093 
               
               
                 −2.218 
                 2.074 
                 0.093 
               
               
                 −2.184 
                 2.043 
                 0.093 
               
               
                 −2.143 
                 2.003 
                 0.093 
               
               
                 −2.096 
                 1.954 
                 0.093 
               
               
                 −2.042 
                 1.896 
                 0.093 
               
               
                 −1.979 
                 1.827 
                 0.093 
               
               
                 −1.907 
                 1.747 
                 0.093 
               
               
                 −1.825 
                 1.656 
                 0.093 
               
               
                 −1.734 
                 1.554 
                 0.093 
               
               
                 −1.633 
                 1.442 
                 0.093 
               
               
                 −1.523 
                 1.319 
                 0.093 
               
               
                 −1.407 
                 1.191 
                 0.093 
               
               
                 −1.286 
                 1.058 
                 0.093 
               
               
                 −1.159 
                 0.921 
                 0.093 
               
               
                 −1.026 
                 0.779 
                 0.093 
               
               
                 −0.887 
                 0.634 
                 0.093 
               
               
                 −0.741 
                 0.484 
                 0.093 
               
               
                 −0.59 
                 0.331 
                 0.093 
               
               
                 −0.437 
                 0.178 
                 0.093 
               
               
                 −0.284 
                 0.027 
                 0.093 
               
               
                 −0.13 
                 −0.124 
                 0.093 
               
               
                 0.025 
                 −0.273 
                 0.093 
               
               
                 0.182 
                 −0.421 
                 0.093 
               
               
                 0.34 
                 −0.567 
                 0.093 
               
               
                 0.499 
                 −0.712 
                 0.093 
               
               
                 0.66 
                 −0.854 
                 0.093 
               
               
                 0.824 
                 −0.993 
                 0.093 
               
               
                 0.989 
                 −1.13 
                 0.093 
               
               
                 1.157 
                 −1.264 
                 0.093 
               
               
                 1.323 
                 −1.391 
                 0.093 
               
               
                 1.485 
                 −1.51 
                 0.093 
               
               
                 1.644 
                 −1.622 
                 0.093 
               
               
                 1.799 
                 −1.726 
                 0.093 
               
               
                 1.952 
                 −1.823 
                 0.093 
               
               
                 2.101 
                 −1.913 
                 0.093 
               
               
                 2.245 
                 −1.996 
                 0.093 
               
               
                 2.385 
                 −2.072 
                 0.093 
               
               
                 2.514 
                 −2.138 
                 0.093 
               
               
                 2.631 
                 −2.195 
                 0.093 
               
               
                 2.736 
                 −2.244 
                 0.093 
               
               
                 2.835 
                 −2.288 
                 0.093 
               
               
                 2.922 
                 −2.325 
                 0.093 
               
               
                 2.989 
                 −2.353 
                 0.093 
               
               
                 3.043 
                 −2.375 
                 0.093 
               
               
                 3.083 
                 −2.391 
                 0.093 
               
               
                 3.109 
                 −2.409 
                 0.093 
               
               
                 3.117 
                 −2.425 
                 0.093 
               
               
                 3.118 
                 −2.437 
                 0.093 
               
               
                 3.118 
                 −2.442 
                 0.093 
               
               
                 3.117 
                 −2.445 
                 0.093 
               
               
                 3.117 
                 −2.447 
                 0.093 
               
               
                 3.246 
                 −1.589 
                 2.144 
               
               
                 3.245 
                 −1.592 
                 2.144 
               
               
                 3.243 
                 −1.597 
                 2.144 
               
               
                 3.236 
                 −1.607 
                 2.144 
               
               
                 3.22 
                 −1.616 
                 2.144 
               
               
                 3.189 
                 −1.615 
                 2.144 
               
               
                 3.147 
                 −1.606 
                 2.144 
               
               
                 3.091 
                 −1.592 
                 2.144 
               
               
                 3.022 
                 −1.576 
                 2.144 
               
               
                 2.932 
                 −1.554 
                 2.144 
               
               
                 2.828 
                 −1.527 
                 2.144 
               
               
                 2.718 
                 −1.498 
                 2.144 
               
               
                 2.594 
                 −1.464 
                 2.144 
               
               
                 2.456 
                 −1.425 
                 2.144 
               
               
                 2.305 
                 −1.381 
                 2.144 
               
               
                 2.148 
                 −1.334 
                 2.144 
               
               
                 1.985 
                 −1.282 
                 2.144 
               
               
                 1.816 
                 −1.225 
                 2.144 
               
               
                 1.641 
                 −1.162 
                 2.144 
               
               
                 1.461 
                 −1.094 
                 2.144 
               
               
                 1.275 
                 −1.019 
                 2.144 
               
               
                 1.085 
                 −0.938 
                 2.144 
               
               
                 0.891 
                 −0.849 
                 2.144 
               
               
                 0.698 
                 −0.755 
                 2.144 
               
               
                 0.509 
                 −0.656 
                 2.144 
               
               
                 0.322 
                 −0.551 
                 2.144 
               
               
                 0.14 
                 −0.442 
                 2.144 
               
               
                 −0.038 
                 −0.326 
                 2.144 
               
               
                 −0.211 
                 −0.204 
                 2.144 
               
               
                 −0.379 
                 −0.078 
                 2.144 
               
               
                 −0.545 
                 0.052 
                 2.144 
               
               
                 −0.707 
                 0.186 
                 2.144 
               
               
                 −0.867 
                 0.324 
                 2.144 
               
               
                 −1.023 
                 0.465 
                 2.144 
               
               
                 −1.171 
                 0.606 
                 2.144 
               
               
                 −1.31 
                 0.746 
                 2.144 
               
               
                 −1.441 
                 0.885 
                 2.144 
               
               
                 −1.564 
                 1.022 
                 2.144 
               
               
                 −1.68 
                 1.158 
                 2.144 
               
               
                 −1.788 
                 1.29 
                 2.144 
               
               
                 −1.887 
                 1.419 
                 2.144 
               
               
                 −1.975 
                 1.54 
                 2.144 
               
               
                 −2.051 
                 1.651 
                 2.144 
               
               
                 −2.1.17 
                 1.753 
                 2.144 
               
               
                 −2.172 
                 1.844 
                 2.144 
               
               
                 −2.218 
                 1.924 
                 2.144 
               
               
                 −2.256 
                 1.994 
                 2.144 
               
               
                 −2.286 
                 2.053 
                 2.144 
               
               
                 −2.309 
                 2.105 
                 2.144 
               
               
                 −2.326 
                 2.148 
                 2.144 
               
               
                 −2.338 
                 2.183 
                 2.144 
               
               
                 −2.345 
                 2.211 
                 2.144 
               
               
                 −2.347 
                 2.232 
                 2.144 
               
               
                 −2.345 
                 2.25 
                 2.144 
               
               
                 −2.34 
                 2.263 
                 2.144 
               
               
                 −2.332 
                 2.271 
                 2.144 
               
               
                 −2.323 
                 2.275 
                 2.144 
               
               
                 −2.309 
                 2.276 
                 2.144 
               
               
                 −2.293 
                 2.273 
                 2.144 
               
               
                 −2.274 
                 2.265 
                 2.144 
               
               
                 −2.25 
                 2.251 
                 2.144 
               
               
                 −2.221 
                 2.23 
                 2.144 
               
               
                 −2.187 
                 2.202 
                 2.144 
               
               
                 −2.145 
                 2.168 
                 2.144 
               
               
                 −2.097 
                 2.125 
                 2.144 
               
               
                 −2.042 
                 2.074 
                 2.144 
               
               
                 −1.976 
                 2.015 
                 2.144 
               
               
                 −1.9 
                 1.946 
                 2.144 
               
               
                 −1.814 
                 1.868 
                 2.144 
               
               
                 −1.717 
                 1.781 
                 2.144 
               
               
                 −1.61 
                 1.686 
                 2.144 
               
               
                 −1.492 
                 1.582 
                 2.144 
               
               
                 −1.367 
                 1.475 
                 2.144 
               
               
                 −1.237 
                 1.365 
                 2.144 
               
               
                 −1.1 
                 1.251 
                 2.144 
               
               
                 −0.957 
                 1.135 
                 2.144 
               
               
                 −0.808 
                 1.015 
                 2.144 
               
               
                 −0.652 
                 0.893 
                 2.144 
               
               
                 −0.489 
                 0.769 
                 2.144 
               
               
                 −0.325 
                 0.646 
                 2.144 
               
               
                 −0.159 
                 0.525 
                 2.144 
               
               
                 0.007 
                 0.406 
                 2.144 
               
               
                 0.175 
                 0.288 
                 2.144 
               
               
                 0.343 
                 0.171 
                 2.144 
               
               
                 0.511 
                 0.053 
                 2.144 
               
               
                 0.678 
                 −0.065 
                 2.144 
               
               
                 0.847 
                 −0.182 
                 2.144 
               
               
                 1.015 
                 −0.298 
                 2.144 
               
               
                 1.185 
                 −0.413 
                 2.144 
               
               
                 1.356 
                 −0.526 
                 2.144 
               
               
                 1.522 
                 −0.634 
                 2.144 
               
               
                 1.683 
                 −0.737 
                 2.144 
               
               
                 1.841 
                 −0.833 
                 2.144 
               
               
                 1.993 
                 −0.924 
                 2.144 
               
               
                 2.142 
                 −1.009 
                 2.144 
               
               
                 2.285 
                 −1.088 
                 2.144 
               
               
                 2.424 
                 −1.162 
                 2.144 
               
               
                 2.558 
                 −1.231 
                 2.144 
               
               
                 2.68 
                 −1.291 
                 2.144 
               
               
                 2.791 
                 −1.344 
                 2.144 
               
               
                 2.891 
                 −1.39 
                 2.144 
               
               
                 2.984 
                 −1.433 
                 2.144 
               
               
                 3.065 
                 −1.468 
                 2.144 
               
               
                 3.128 
                 −1.496 
                 2.144 
               
               
                 3.179 
                 −1.517 
                 2.144 
               
               
                 3.216 
                 −1.533 
                 2.144 
               
               
                 3.24 
                 −1.552 
                 2.144 
               
               
                 3.246 
                 −1.568 
                 2.144 
               
               
                 3.247 
                 −1.579 
                 2.144 
               
               
                 3.247 
                 −1.584 
                 2.144 
               
               
                 3.246 
                 −1.587 
                 2.144 
               
               
                 3.246 
                 −1.588 
                 2.144 
               
               
                 3.201 
                 −0.63 
                 4.195 
               
               
                 3.2 
                 −0.632 
                 4.195 
               
               
                 3.198 
                 −0.637 
                 4.195 
               
               
                 3.191 
                 −0.647 
                 4.195 
               
               
                 3.177 
                 −0.656 
                 4.195 
               
               
                 3.147 
                 −0.657 
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                 16.501 
               
               
                 −2.214 
                 1.841 
                 16.501 
               
               
                 −2.221 
                 1.856 
                 16.501 
               
               
                 −2.226 
                 1.869 
                 16.501 
               
               
                 −2.228 
                 1.88 
                 16.501 
               
               
                 −2.225 
                 1.888 
                 16.501 
               
               
                 −2.218 
                 1.891 
                 16.501 
               
               
                 −2.207 
                 1.889 
                 16.501 
               
               
                 −2.195 
                 1.885 
                 16.501 
               
               
                 −2.18 
                 1.878 
                 16.501 
               
               
                 −2.162 
                 1.867 
                 16.501 
               
               
                 −2.139 
                 1.852 
                 16.501 
               
               
                 −2.111 
                 1.832 
                 16.501 
               
               
                 −2.077 
                 1.807 
                 16.501 
               
               
                 −2.037 
                 1.777 
                 16.501 
               
               
                 −1.99 
                 1.743 
                 16.501 
               
               
                 −1.934 
                 1.702 
                 16.501 
               
               
                 −1.87 
                 1.654 
                 16.501 
               
               
                 −1.797 
                 1.601 
                 16.501 
               
               
                 −1.715 
                 1.542 
                 16.501 
               
               
                 −1.624 
                 1.478 
                 16.501 
               
               
                 −1.525 
                 1.407 
                 16.501 
               
               
                 −1.42 
                 1.335 
                 16.501 
               
               
                 −1.31 
                 1.259 
                 16.501 
               
               
                 −1.196 
                 1.182 
                 16.501 
               
               
                 −1.077 
                 1.102 
                 16.501 
               
               
                 −0.953 
                 1.021 
                 16.501 
               
               
                 −0.823 
                 0.937 
                 16.501 
               
               
                 −0.689 
                 0.852 
                 16.501 
               
               
                 −0.554 
                 0.768 
                 16.501 
               
               
                 −0.418 
                 0.685 
                 16.501 
               
               
                 −0.28 
                 0.605 
                 16.501 
               
               
                 −0.142 
                 0.526 
                 16.501 
               
               
                 −0.002 
                 0.45 
                 16.501 
               
               
                 0.139 
                 0.376 
                 16.501 
               
               
                 0.281 
                 0.304 
                 16.501 
               
               
                 0.425 
                 0.235 
                 16.501 
               
               
                 0.569 
                 0.167 
                 16.501 
               
               
                 0.713 
                 0.101 
                 16.501 
               
               
                 0.859 
                 0.036 
                 16.501 
               
               
                 1 
                 −0.025 
                 16.501 
               
               
                 1.138 
                 −0.081 
                 16.501 
               
               
                 1.271 
                 −0.133 
                 16.501 
               
               
                 1.401 
                 −0.182 
                 16.501 
               
               
                 1.526 
                 −0.226 
                 16.501 
               
               
                 1.647 
                 −0.267 
                 16.501 
               
               
                 1.763 
                 −0.303 
                 16.501 
               
               
                 1.876 
                 −0.336 
                 16.501 
               
               
                 1.978 
                 −0.365 
                 16.501 
               
               
                 2.071 
                 −0.389 
                 16.501 
               
               
                 2.153 
                 −0.409 
                 16.501 
               
               
                 2.231 
                 −0.426 
                 16.501 
               
               
                 2.299 
                 −0.441 
                 16.501 
               
               
                 2.351 
                 −0.452 
                 16.501 
               
               
                 2.393 
                 −0.46 
                 16.501 
               
               
                 2.424 
                 −0.466 
                 16.501 
               
               
                 2.445 
                 −0.477 
                 16.501 
               
               
                 2.452 
                 −0.488 
                 16.501 
               
               
                 2.454 
                 −0.496 
                 16.501 
               
               
                 2.454 
                 −0.5 
                 16.501 
               
               
                 2.454 
                 −0.503 
                 16.501 
               
               
                 2.454 
                 −0.504 
                 16.501 
               
               
                 2.275 
                 −0.975 
                 18.552 
               
               
                 2.275 
                 −0.977 
                 18.552 
               
               
                 2.274 
                 −0.981 
                 18.552 
               
               
                 2.27 
                 −0.989 
                 18.552 
               
               
                 2.26 
                 −0.998 
                 18.552 
               
               
                 2.237 
                 −1.002 
                 18.552 
               
               
                 2.206 
                 −1 
                 18.552 
               
               
                 2.164 
                 −0.996 
                 18.552 
               
               
                 2.111 
                 −0.992 
                 18.552 
               
               
                 2.043 
                 −0.985 
                 18.552 
               
               
                 1.964 
                 −0.976 
                 18.552 
               
               
                 1.881 
                 −0.966 
                 18.552 
               
               
                 1.787 
                 −0.953 
                 18.552 
               
               
                 1.683 
                 −0.937 
                 18.552 
               
               
                 1.569 
                 −0.917 
                 18.552 
               
               
                 1.45 
                 −0.894 
                 18.552 
               
               
                 1.326 
                 −0.867 
                 18.552 
               
               
                 1.198 
                 −0.836 
                 18.552 
               
               
                 1.066 
                 −0.801 
                 18.552 
               
               
                 0.931 
                 −0.761 
                 18.552 
               
               
                 0.792 
                 −0.716 
                 18.552 
               
               
                 0.65 
                 −0.666 
                 18.552 
               
               
                 0.505 
                 −0.61 
                 18.552 
               
               
                 0.361 
                 −0.55 
                 18.552 
               
               
                 0.22 
                 −0.484 
                 18.552 
               
               
                 0.081 
                 −0.415 
                 18.552 
               
               
                 −0.056 
                 −0.341 
                 18.552 
               
               
                 −0.192 
                 −0.265 
                 18.552 
               
               
                 −0.327 
                 −0.185 
                 18.552 
               
               
                 −0.46 
                 −0.102 
                 18.552 
               
               
                 −0.592 
                 −0.017 
                 18.552 
               
               
                 −0.722 
                 0.071 
                 18.552 
               
               
                 −0.85 
                 0.162 
                 18.552 
               
               
                 −0.977 
                 0.254 
                 18.552 
               
               
                 −1.097 
                 0.346 
                 18.552 
               
               
                 −1.212 
                 0.436 
                 18.552 
               
               
                 −1.322 
                 0.525 
                 18.552 
               
               
                 −1.426 
                 0.612 
                 18.552 
               
               
                 −1.525 
                 0.698 
                 18.552 
               
               
                 −1.619 
                 0.781 
                 18.552 
               
               
                 −1.707 
                 0.863 
                 18.552 
               
               
                 −1.787 
                 0.939 
                 18.552 
               
               
                 −1.857 
                 1.009 
                 18.552 
               
               
                 −1.92 
                 1.073 
                 18.552 
               
               
                 −1.974 
                 1.131 
                 18.552 
               
               
                 −2.019 
                 1.181 
                 18.552 
               
               
                 −2.057 
                 1.225 
                 18.552 
               
               
                 −2.089 
                 1.262 
                 18.552 
               
               
                 −2.116 
                 1.294 
                 18.552 
               
               
                 −2.136 
                 1.322 
                 18.552 
               
               
                 −2.152 
                 1.344 
                 18.552 
               
               
                 −2.163 
                 1.362 
                 18.552 
               
               
                 −2.17 
                 1.376 
                 18.552 
               
               
                 −2.175 
                 1.388 
                 18.552 
               
               
                 −2.177 
                 1.398 
                 18.552 
               
               
                 −2.175 
                 1.406 
                 18.552 
               
               
                 −2.167 
                 1.408 
                 18.552 
               
               
                 −2.157 
                 1.407 
                 18.552 
               
               
                 −2.146 
                 1.402 
                 18.552 
               
               
                 −2.132 
                 1.395 
                 18.552 
               
               
                 −2.115 
                 1.384 
                 18.552 
               
               
                 −2.092 
                 1.37 
                 18.552 
               
               
                 −2.066 
                 1.35 
                 18.552 
               
               
                 −2.034 
                 1.325 
                 18.552 
               
               
                 −1.996 
                 1.296 
                 18.552 
               
               
                 −1.951 
                 1.262 
                 18.552 
               
               
                 −1.899 
                 1.221 
                 18.552 
               
               
                 −1.838 
                 1.174 
                 18.552 
               
               
                 −1.77 
                 1.121 
                 18.552 
               
               
                 −1.692 
                 1.062 
                 18.552 
               
               
                 −1.607 
                 0.997 
                 18.552 
               
               
                 −1.513 
                 0.927 
                 18.552 
               
               
                 −1.414 
                 0.854 
                 18.552 
               
               
                 −1.311 
                 0.779 
                 18.552 
               
               
                 −1.203 
                 0.701 
                 18.552 
               
               
                 −1.091 
                 0.622 
                 18.552 
               
               
                 −0.974 
                 0.54 
                 18.552 
               
               
                 −0.851 
                 0.456 
                 18.552 
               
               
                 −0.724 
                 0.371 
                 18.552 
               
               
                 −0.596 
                 0.288 
                 18.552 
               
               
                 −0.467 
                 0.206 
                 18.552 
               
               
                 −0.337 
                 0.125 
                 18.552 
               
               
                 −0.205 
                 0.047 
                 18.552 
               
               
                 −0.073 
                 −0.03 
                 18.552 
               
               
                 0.061 
                 −0.105 
                 18.552 
               
               
                 0.196 
                 −0.177 
                 18.552 
               
               
                 0.332 
                 −0.248 
                 18.552 
               
               
                 0.469 
                 −0.317 
                 18.552 
               
               
                 0.606 
                 −0.384 
                 18.552 
               
               
                 0.745 
                 −0.449 
                 18.552 
               
               
                 0.879 
                 −0.51 
                 18.552 
               
               
                 1.01 
                 −0.566 
                 18.552 
               
               
                 1.138 
                 −0.618 
                 18.552 
               
               
                 1.262 
                 −0.666 
                 18.552 
               
               
                 1.382 
                 −0.71 
                 18.552 
               
               
                 1.498 
                 −0.75 
                 18.552 
               
               
                 1.61 
                 −0.785 
                 18.552 
               
               
                 1.718 
                 −0.817 
                 18.552 
               
               
                 1.816 
                 −0.844 
                 18.552 
               
               
                 1.905 
                 −0.866 
                 18.552 
               
               
                 1.985 
                 −0.885 
                 18.552 
               
               
                 2.06 
                 −0.901 
                 18.552 
               
               
                 2.125 
                 −0.915 
                 18.552 
               
               
                 2.176 
                 −0.925 
                 18.552 
               
               
                 2.216 
                 −0.932 
                 18.552 
               
               
                 2.246 
                 −0.937 
                 18.552 
               
               
                 2.266 
                 −0.948 
                 18.552 
               
               
                 2.273 
                 −0.958 
                 18.552 
               
               
                 2.275 
                 −0.966 
                 18.552 
               
               
                 2.275 
                 −0.97 
                 18.552 
               
               
                 2.275 
                 −0.973 
                 18.552 
               
               
                 2.275 
                 −0.974 
                 18.552 
               
               
                 2.096 
                 −1.385 
                 20.603 
               
               
                 2.096 
                 −1.387 
                 20.603 
               
               
                 2.095 
                 −1.391 
                 20.603 
               
               
                 2.091 
                 −1.399 
                 20.603 
               
               
                 2.082 
                 −1.408 
                 20.603 
               
               
                 2.059 
                 −1.411 
                 20.603 
               
               
                 2.028 
                 −1.408 
                 20.603 
               
               
                 1.987 
                 −1.404 
                 20.603 
               
               
                 1.935 
                 −1.399 
                 20.603 
               
               
                 1.868 
                 −1.392 
                 20.603 
               
               
                 1.791 
                 −1.383 
                 20.603 
               
               
                 1.708 
                 −1.373 
                 20.603 
               
               
                 1.616 
                 −1.36 
                 20.603 
               
               
                 1.513 
                 −1.346 
                 20.603 
               
               
                 1.401 
                 −1.328 
                 20.603 
               
               
                 1.283 
                 −1.307 
                 20.603 
               
               
                 1.161 
                 −1.283 
                 20.603 
               
               
                 1.035 
                 −1.255 
                 20.603 
               
               
                 0.904 
                 −1.221 
                 20.603 
               
               
                 0.77 
                 −1.183 
                 20.603 
               
               
                 0.632 
                 −1.138 
                 20.603 
               
               
                 0.491 
                 −1.086 
                 20.603 
               
               
                 0.347 
                 −1.027 
                 20.603 
               
               
                 0.207 
                 −0.962 
                 20.603 
               
               
                 0.07 
                 −0.892 
                 20.603 
               
               
                 −0.064 
                 −0.817 
                 20.603 
               
               
                 −0.196 
                 −0.738 
                 20.603 
               
               
                 −0.324 
                 −0.655 
                 20.603 
               
               
                 −0.451 
                 −0.569 
                 20.603 
               
               
                 −0.576 
                 −0.48 
                 20.603 
               
               
                 −0.698 
                 −0.387 
                 20.603 
               
               
                 −0.819 
                 −0.292 
                 20.603 
               
               
                 −0.937 
                 −0.194 
                 20.603 
               
               
                 −1.054 
                 −0.093 
                 20.603 
               
               
                 −1.165 
                 0.007 
                 20.603 
               
               
                 −1.27 
                 0.105 
                 20.603 
               
               
                 −1.37 
                 0.202 
                 20.603 
               
               
                 −1.463 
                 0.297 
                 20.603 
               
               
                 −1.552 
                 0.39 
                 20.603 
               
               
                 −1.635 
                 0.481 
                 20.603 
               
               
                 −1.713 
                 0.569 
                 20.603 
               
               
                 −1.783 
                 0.652 
                 20.603 
               
               
                 −1.845 
                 0.727 
                 20.603 
               
               
                 −1.899 
                 0.796 
                 20.603 
               
               
                 −1.946 
                 0.857 
                 20.603 
               
               
                 −1.986 
                 0.911 
                 20.603 
               
               
                 −2.02 
                 0.957 
                 20.603 
               
               
                 −2.047 
                 0.996 
                 20.603 
               
               
                 −2.07 
                 1.03 
                 20.603 
               
               
                 −2.088 
                 1.058 
                 20.603 
               
               
                 −2.102 
                 1.081 
                 20.603 
               
               
                 −2.111 
                 1.1 
                 20.603 
               
               
                 −2.118 
                 1.114 
                 20.603 
               
               
                 −2.122 
                 1.126 
                 20.603 
               
               
                 −2.123 
                 1.136 
                 20.603 
               
               
                 −2.121 
                 1.143 
                 20.603 
               
               
                 −2.114 
                 1.145 
                 20.603 
               
               
                 −2.104 
                 1.141 
                 20.603 
               
               
                 −2.093 
                 1.135 
                 20.603 
               
               
                 −2.081 
                 1.126 
                 20.603 
               
               
                 −2.065 
                 1.114 
                 20.603 
               
               
                 −2.045 
                 1.097 
                 20.603 
               
               
                 −2.021 
                 1.075 
                 20.603 
               
               
                 −1.992 
                 1.048 
                 20.603 
               
               
                 −1.958 
                 1.015 
                 20.603 
               
               
                 −1.919 
                 0.977 
                 20.603 
               
               
                 −1.872 
                 0.931 
                 20.603 
               
               
                 −1.818 
                 0.878 
                 20.603 
               
               
                 −1.757 
                 0.819 
                 20.603 
               
               
                 −1.688 
                 0.753 
                 20.603 
               
               
                 −1.612 
                 0.68 
                 20.603 
               
               
                 −1.527 
                 0.601 
                 20.603 
               
               
                 −1.438 
                 0.52 
                 20.603 
               
               
                 −1.345 
                 0.436 
                 20.603 
               
               
                 −1.247 
                 0.35 
                 20.603 
               
               
                 −1.144 
                 0.262 
                 20.603 
               
               
                 −1.037 
                 0.171 
                 20.603 
               
               
                 −0.924 
                 0.08 
                 20.603 
               
               
                 −0.806 
                 −0.014 
                 20.603 
               
               
                 −0.686 
                 −0.105 
                 20.603 
               
               
                 −0.566 
                 −0.195 
                 20.603 
               
               
                 −0.443 
                 −0.283 
                 20.603 
               
               
                 −0.32 
                 −0.368 
                 20.603 
               
               
                 −0.195 
                 −0.451 
                 20.603 
               
               
                 −0.069 
                 −0.53 
                 20.603 
               
               
                 0.059 
                 −0.607 
                 20.603 
               
               
                 0.189 
                 −0.681 
                 20.603 
               
               
                 0.32 
                 −0.751 
                 20.603 
               
               
                 0.453 
                 −0.819 
                 20.603 
               
               
                 0.587 
                 −0.884 
                 20.603 
               
               
                 0.718 
                 −0.944 
                 20.603 
               
               
                 0.847 
                 −0.998 
                 20.603 
               
               
                 0.972 
                 −1.048 
                 20.603 
               
               
                 1.095 
                 −1.093 
                 20.603 
               
               
                 1.214 
                 −1.134 
                 20.603 
               
               
                 1.329 
                 −1.17 
                 20.603 
               
               
                 1.44 
                 −1.203 
                 20.603 
               
               
                 1.547 
                 −1.232 
                 20.603 
               
               
                 1.644 
                 −1.257 
                 20.603 
               
               
                 1.732 
                 −1.278 
                 20.603 
               
               
                 1.811 
                 −1.296 
                 20.603 
               
               
                 1.885 
                 −1.312 
                 20.603 
               
               
                 1.949 
                 −1.325 
                 20.603 
               
               
                 1.998 
                 −1.335 
                 20.603 
               
               
                 2.038 
                 −1.343 
                 20.603 
               
               
                 2.067 
                 −1.349 
                 20.603 
               
               
                 2.087 
                 −1.359 
                 20.603 
               
               
                 2.094 
                 −1.37 
                 20.603 
               
               
                 2.096 
                 −1.377 
                 20.603 
               
               
                 2.096 
                 −1.381 
                 20.603 
               
               
                 2.096 
                 −1.383 
                 20.603 
               
               
                 2.096 
                 −1.384 
                 20.603 
               
               
                   
               
             
          
         
       
     
         [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.