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.

Description:
BACKGROUND OF THE INVENTION 
   The present invention is related to the following GE commonly assigned applications Ser. Nos. 11/586,060, 11/586,049, 11/586,050, 11/586,051, 11/586,052, 11/586,053, 11/586,046, 11/586,054, 11/586,085, 11/586,055, 11/586,088, 11/586,088, 11/586,086, 11/586,045, 11/586,087, 11/586,059, 11/586,090, 11/586,091 and 11/586,092 each filed on Oct. 25, 2006; and the following GE commonly assigned applications Ser. Nos.: 11/591,691, 11/591,695, 11/591,694, 11/591,693 and 11/591,692 each filed on Nov. 2, 2006. 
   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. 
   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 
   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. 
   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. 
   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 
       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; 
       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; 
       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; 
       FIG. 6  is a cross-sectional view of the rotor blade airfoil taken generally about on line  6 - 6  in  FIG. 5 ; 
       FIG. 7  is a perspective views of a rotor blade according to an exemplary embodiment of the invention with coordinate system superimposed thereon; and 
       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 
   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 compressor, 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. 
   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 ). 
   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. 
   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 ). 
   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. 
   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. 
   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. 
   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. 
   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. 
   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. 
   The coordinate values given in TABLE 1 below provide the nominal profile envelope for an exemplary 1 st  stage airfoil variable stator vane. 
   
     
       
             
             
             
           
             
             
             
           
         
             
               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 
             
             
               −2.117 
               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 
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               −2.165 
               1.771 
               16.501 
             
             
               −2.186 
               1.799 
               16.501 
             
             
               −2.202 
               1.823 
               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 
             
             
                 
             
           
        
       
     
   
   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. 
   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.