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 Ser. Nos. 11/586,050 &amp; 11/586,087, filed on Oct. 25, 2006, Nov. 5, 2006, respectively. 
   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 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. 
   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 4 th  stage airfoil variable stator blade. 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 4 th  stage airfoil variable stator blade. 
   
     
       
             
             
             
           
             
             
             
           
         
             
               TABLE 1 
             
             
                 
             
             
               X-LOC 
               Y-LOC 
               Z-LOC 
             
             
                 
             
           
           
             
                 
             
           
        
         
             
               1.829 
               −1.808 
               −0.003 
             
             
               1.828 
               −1.81 
               −0.003 
             
             
               1.826 
               −1.814 
               −0.003 
             
             
               1.819 
               −1.82 
               −0.003 
             
             
               1.807 
               −1.825 
               −0.003 
             
             
               1.783 
               −1.821 
               −0.003 
             
             
               1.752 
               −1.81 
               −0.003 
             
             
               1.71 
               −1.797 
               −0.003 
             
             
               1.659 
               −1.779 
               −0.003 
             
             
               1.591 
               −1.756 
               −0.003 
             
             
               1.514 
               −1.729 
               −0.003 
             
             
               1.432 
               −1.699 
               −0.003 
             
             
               1.34 
               −1.665 
               −0.003 
             
             
               1.238 
               −1.626 
               −0.003 
             
             
               1.126 
               −1.582 
               −0.003 
             
             
               1.01 
               −1.534 
               −0.003 
             
             
               0.889 
               −1.482 
               −0.003 
             
             
               0.765 
               −1.426 
               −0.003 
             
             
               0.636 
               −1.366 
               −0.003 
             
             
               0.504 
               −1.301 
               −0.003 
             
             
               0.368 
               −1.231 
               −0.003 
             
             
               0.229 
               −1.155 
               −0.003 
             
             
               0.087 
               −1.073 
               −0.003 
             
             
               −0.053 
               −0.988 
               −0.003 
             
             
               −0.19 
               −0.899 
               −0.003 
             
             
               −0.325 
               −0.807 
               −0.003 
             
             
               −0.457 
               −0.71 
               −0.003 
             
             
               −0.586 
               −0.609 
               −0.003 
             
             
               −0.712 
               −0.503 
               −0.003 
             
             
               −0.834 
               −0.394 
               −0.003 
             
             
               −0.952 
               −0.281 
               −0.003 
             
             
               −1.067 
               −0.164 
               −0.003 
             
             
               −1.177 
               −0.044 
               −0.003 
             
             
               −1.284 
               0.081 
               −0.003 
             
             
               −1.381 
               0.205 
               −0.003 
             
             
               −1.47 
               0.328 
               −0.003 
             
             
               −1.551 
               0.449 
               −0.003 
             
             
               −1.624 
               0.569 
               −0.003 
             
             
               −1.691 
               0.686 
               −0.003 
             
             
               −1.75 
               0.802 
               −0.003 
             
             
               −1.804 
               0.914 
               −0.003 
             
             
               −1.849 
               1.02 
               −0.003 
             
             
               −1.886 
               1.117 
               −0.003 
             
             
               −1.916 
               1.205 
               −0.003 
             
             
               −1.94 
               1.283 
               −0.003 
             
             
               −1.957 
               1.352 
               −0.003 
             
             
               −1.97 
               1.41 
               −0.003 
             
             
               −1.98 
               1.461 
               −0.003 
             
             
               −1.986 
               1.504 
               −0.003 
             
             
               −1.988 
               1.539 
               −0.003 
             
             
               −1.986 
               1.568 
               −0.003 
             
             
               −1.983 
               1.59 
               −0.003 
             
             
               −1.979 
               1.605 
               −0.003 
             
             
               −1.973 
               1.618 
               −0.003 
             
             
               −1.966 
               1.626 
               −0.003 
             
             
               −1.959 
               1.631 
               −0.003 
             
             
               −1.951 
               1.634 
               −0.003 
             
             
               −1.941 
               1.635 
               −0.003 
             
             
               −1.928 
               1.633 
               −0.003 
             
             
               −1.914 
               1.628 
               −0.003 
             
             
               −1.895 
               1.619 
               −0.003 
             
             
               −1.872 
               1.605 
               −0.003 
             
             
               −1.846 
               1.585 
               −0.003 
             
             
               −1.815 
               1.558 
               −0.003 
             
             
               −1.781 
               1.524 
               −0.003 
             
             
               −1.74 
               1.484 
               −0.003 
             
             
               −1.694 
               1.436 
               −0.003 
             
             
               −1.641 
               1.38 
               −0.003 
             
             
               −1.581 
               1.316 
               −0.003 
             
             
               −1.515 
               1.243 
               −0.003 
             
             
               −1.442 
               1.163 
               −0.003 
             
             
               −1.363 
               1.075 
               −0.003 
             
             
               −1.28 
               0.983 
               −0.003 
             
             
               −1.193 
               0.888 
               −0.003 
             
             
               −1.103 
               0.789 
               −0.003 
             
             
               −1.008 
               0.687 
               −0.003 
             
             
               −0.91 
               0.581 
               −0.003 
             
             
               −0.808 
               0.472 
               −0.003 
             
             
               −0.702 
               0.359 
               −0.003 
             
             
               −0.595 
               0.248 
               −0.003 
             
             
               −0.487 
               0.137 
               −0.003 
             
             
               −0.378 
               0.027 
               −0.003 
             
             
               −0.268 
               −0.081 
               −0.003 
             
             
               −0.157 
               −0.189 
               −0.003 
             
             
               −0.045 
               −0.295 
               −0.003 
             
             
               0.068 
               −0.401 
               −0.003 
             
             
               0.182 
               −0.506 
               −0.003 
             
             
               0.297 
               −0.609 
               −0.003 
             
             
               0.413 
               −0.711 
               −0.003 
             
             
               0.53 
               −0.812 
               −0.003 
             
             
               0.644 
               −0.908 
               −0.003 
             
             
               0.755 
               −1 
               −0.003 
             
             
               0.863 
               −1.088 
               −0.003 
             
             
               0.969 
               −1.17 
               −0.003 
             
             
               1.071 
               −1.248 
               −0.003 
             
             
               1.171 
               −1.322 
               −0.003 
             
             
               1.266 
               −1.392 
               −0.003 
             
             
               1.359 
               −1.458 
               −0.003 
             
             
               1.443 
               −1.517 
               −0.003 
             
             
               1.52 
               −1.57 
               −0.003 
             
             
               1.588 
               −1.617 
               −0.003 
             
             
               1.652 
               −1.659 
               −0.003 
             
             
               1.708 
               −1.696 
               −0.003 
             
             
               1.752 
               −1.724 
               −0.003 
             
             
               1.786 
               −1.747 
               −0.003 
             
             
               1.812 
               −1.764 
               −0.003 
             
             
               1.829 
               −1.78 
               −0.003 
             
             
               1.832 
               −1.792 
               −0.003 
             
             
               1.832 
               −1.8 
               −0.003 
             
             
               1.831 
               −1.804 
               −0.003 
             
             
               1.83 
               −1.806 
               −0.003 
             
             
               1.829 
               −1.807 
               −0.003 
             
             
               1.822 
               −1.233 
               1.307 
             
             
               1.821 
               −1.235 
               1.307 
             
             
               1.819 
               −1.239 
               1.307 
             
             
               1.813 
               −1.244 
               1.307 
             
             
               1.802 
               −1.25 
               1.307 
             
             
               1.78 
               −1.248 
               1.307 
             
             
               1.752 
               −1.24 
               1.307 
             
             
               1.714 
               −1.228 
               1.307 
             
             
               1.666 
               −1.215 
               1.307 
             
             
               1.605 
               −1.196 
               1.307 
             
             
               1.534 
               −1.175 
               1.307 
             
             
               1.458 
               −1.151 
               1.307 
             
             
               1.374 
               −1.124 
               1.307 
             
             
               1.279 
               −1.094 
               1.307 
             
             
               1.176 
               −1.06 
               1.307 
             
             
               1.069 
               −1.024 
               1.307 
             
             
               0.957 
               −0.985 
               1.307 
             
             
               0.84 
               −0.943 
               1.307 
             
             
               0.72 
               −0.898 
               1.307 
             
             
               0.595 
               −0.85 
               1.307 
             
             
               0.467 
               −0.799 
               1.307 
             
             
               0.335 
               −0.743 
               1.307 
             
             
               0.199 
               −0.683 
               1.307 
             
             
               0.065 
               −0.621 
               1.307 
             
             
               −0.068 
               −0.555 
               1.307 
             
             
               −0.199 
               −0.486 
               1.307 
             
             
               −0.329 
               −0.414 
               1.307 
             
             
               −0.456 
               −0.338 
               1.307 
             
             
               −0.58 
               −0.258 
               1.307 
             
             
               −0.703 
               −0.174 
               1.307 
             
             
               −0.822 
               −0.086 
               1.307 
             
             
               −0.939 
               0.005 
               1.307 
             
             
               −1.052 
               0.1 
               1.307 
             
             
               −1.163 
               0.199 
               1.307 
             
             
               −1.265 
               0.298 
               1.307 
             
             
               −1.36 
               0.398 
               1.307 
             
             
               −1.447 
               0.496 
               1.307 
             
             
               −1.528 
               0.595 
               1.307 
             
             
               −1.602 
               0.692 
               1.307 
             
             
               −1.67 
               0.788 
               1.307 
             
             
               −1.732 
               0.882 
               1.307 
             
             
               −1.786 
               0.971 
               1.307 
             
             
               −1.832 
               1.053 
               1.307 
             
             
               −1.87 
               1.128 
               1.307 
             
             
               −1.901 
               1.196 
               1.307 
             
             
               −1.925 
               1.255 
               1.307 
             
             
               −1.944 
               1.306 
               1.307 
             
             
               −1.958 
               1.35 
               1.307 
             
             
               −1.969 
               1.388 
               1.307 
             
             
               −1.974 
               1.42 
               1.307 
             
             
               −1.976 
               1.446 
               1.307 
             
             
               −1.975 
               1.466 
               1.307 
             
             
               −1.973 
               1.48 
               1.307 
             
             
               −1.968 
               1.492 
               1.307 
             
             
               −1.962 
               1.5 
               1.307 
             
             
               −1.957 
               1.505 
               1.307 
             
             
               −1.951 
               1.508 
               1.307 
             
             
               −1.941 
               1.511 
               1.307 
             
             
               −1.93 
               1.512 
               1.307 
             
             
               −1.916 
               1.51 
               1.307 
             
             
               −1.898 
               1.505 
               1.307 
             
             
               −1.875 
               1.496 
               1.307 
             
             
               −1.848 
               1.482 
               1.307 
             
             
               −1.817 
               1.462 
               1.307 
             
             
               −1.78 
               1.437 
               1.307 
             
             
               −1.739 
               1.406 
               1.307 
             
             
               −1.69 
               1.37 
               1.307 
             
             
               −1.634 
               1.327 
               1.307 
             
             
               −1.572 
               1.277 
               1.307 
             
             
               −1.503 
               1.22 
               1.307 
             
             
               −1.427 
               1.157 
               1.307 
             
             
               −1.344 
               1.088 
               1.307 
             
             
               −1.257 
               1.015 
               1.307 
             
             
               −1.167 
               0.94 
               1.307 
             
             
               −1.074 
               0.861 
               1.307 
             
             
               −0.976 
               0.78 
               1.307 
             
             
               −0.874 
               0.697 
               1.307 
             
             
               −0.769 
               0.61 
               1.307 
             
             
               −0.661 
               0.52 
               1.307 
             
             
               −0.551 
               0.431 
               1.307 
             
             
               −0.441 
               0.343 
               1.307 
             
             
               −0.33 
               0.257 
               1.307 
             
             
               −0.219 
               0.17 
               1.307 
             
             
               −0.107 
               0.085 
               1.307 
             
             
               0.006 
               0 
               1.307 
             
             
               0.119 
               −0.084 
               1.307 
             
             
               0.233 
               −0.168 
               1.307 
             
             
               0.347 
               −0.25 
               1.307 
             
             
               0.462 
               −0.332 
               1.307 
             
             
               0.577 
               −0.413 
               1.307 
             
             
               0.689 
               −0.491 
               1.307 
             
             
               0.798 
               −0.564 
               1.307 
             
             
               0.903 
               −0.635 
               1.307 
             
             
               1.005 
               −0.702 
               1.307 
             
             
               1.104 
               −0.766 
               1.307 
             
             
               1.2 
               −0.826 
               1.307 
             
             
               1.291 
               −0.883 
               1.307 
             
             
               1.379 
               −0.937 
               1.307 
             
             
               1.46 
               −0.986 
               1.307 
             
             
               1.532 
               −1.03 
               1.307 
             
             
               1.597 
               −1.068 
               1.307 
             
             
               1.657 
               −1.104 
               1.307 
             
             
               1.71 
               −1.136 
               1.307 
             
             
               1.75 
               −1.16 
               1.307 
             
             
               1.783 
               −1.179 
               1.307 
             
             
               1.807 
               −1.193 
               1.307 
             
             
               1.822 
               −1.208 
               1.307 
             
             
               1.825 
               −1.219 
               1.307 
             
             
               1.824 
               −1.226 
               1.307 
             
             
               1.823 
               −1.23 
               1.307 
             
             
               1.823 
               −1.232 
               1.307 
             
             
               1.822 
               −1.232 
               1.307 
             
             
               1.82 
               −0.735 
               2.617 
             
             
               1.819 
               −0.737 
               2.617 
             
             
               1.817 
               −0.74 
               2.617 
             
             
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               −0.631 
               −0.392 
               10.474 
             
             
               −0.744 
               −0.325 
               10.474 
             
             
               −0.856 
               −0.254 
               10.474 
             
             
               −0.965 
               −0.181 
               10.474 
             
             
               −1.069 
               −0.107 
               10.474 
             
             
               −1.167 
               −0.033 
               10.474 
             
             
               −1.26 
               0.042 
               10.474 
             
             
               −1.347 
               0.116 
               10.474 
             
             
               −1.428 
               0.19 
               10.474 
             
             
               −1.505 
               0.262 
               10.474 
             
             
               −1.576 
               0.334 
               10.474 
             
             
               −1.638 
               0.401 
               10.474 
             
             
               −1.694 
               0.464 
               10.474 
             
             
               −1.742 
               0.521 
               10.474 
             
             
               −1.783 
               0.573 
               10.474 
             
             
               −1.817 
               0.619 
               10.474 
             
             
               −1.845 
               0.658 
               10.474 
             
             
               −1.868 
               0.692 
               10.474 
             
             
               −1.887 
               0.722 
               10.474 
             
             
               −1.901 
               0.747 
               10.474 
             
             
               −1.911 
               0.768 
               10.474 
             
             
               −1.917 
               0.784 
               10.474 
             
             
               −1.921 
               0.797 
               10.474 
             
             
               −1.922 
               0.808 
               10.474 
             
             
               −1.921 
               0.817 
               10.474 
             
             
               −1.918 
               0.823 
               10.474 
             
             
               −1.912 
               0.826 
               10.474 
             
             
               −1.904 
               0.827 
               10.474 
             
             
               −1.893 
               0.825 
               10.474 
             
             
               −1.881 
               0.821 
               10.474 
             
             
               −1.865 
               0.814 
               10.474 
             
             
               −1.846 
               0.804 
               10.474 
             
             
               −1.822 
               0.79 
               10.474 
             
             
               −1.794 
               0.772 
               10.474 
             
             
               −1.761 
               0.749 
               10.474 
             
             
               −1.723 
               0.722 
               10.474 
             
             
               −1.677 
               0.69 
               10.474 
             
             
               −1.626 
               0.653 
               10.474 
             
             
               −1.567 
               0.611 
               10.474 
             
             
               −1.501 
               0.565 
               10.474 
             
             
               −1.428 
               0.513 
               10.474 
             
             
               −1.347 
               0.458 
               10.474 
             
             
               −1.263 
               0.4 
               10.474 
             
             
               −1.174 
               0.342 
               10.474 
             
             
               −1.081 
               0.282 
               10.474 
             
             
               −0.984 
               0.221 
               10.474 
             
             
               −0.882 
               0.159 
               10.474 
             
             
               −0.776 
               0.097 
               10.474 
             
             
               −0.665 
               0.033 
               10.474 
             
             
               −0.554 
               −0.029 
               10.474 
             
             
               −0.442 
               −0.089 
               10.474 
             
             
               −0.33 
               −0.149 
               10.474 
             
             
               −0.217 
               −0.208 
               10.474 
             
             
               −0.103 
               −0.265 
               10.474 
             
             
               0.01 
               −0.323 
               10.474 
             
             
               0.124 
               −0.38 
               10.474 
             
             
               0.238 
               −0.436 
               10.474 
             
             
               0.353 
               −0.492 
               10.474 
             
             
               0.467 
               −0.547 
               10.474 
             
             
               0.583 
               −0.6 
               10.474 
             
             
               0.695 
               −0.651 
               10.474 
             
             
               0.803 
               −0.7 
               10.474 
             
             
               0.908 
               −0.745 
               10.474 
             
             
               1.01 
               −0.788 
               10.474 
             
             
               1.109 
               −0.829 
               10.474 
             
             
               1.203 
               −0.866 
               10.474 
             
             
               1.295 
               −0.902 
               10.474 
             
             
               1.382 
               −0.935 
               10.474 
             
             
               1.462 
               −0.964 
               10.474 
             
             
               1.534 
               −0.99 
               10.474 
             
             
               1.598 
               −1.013 
               10.474 
             
             
               1.658 
               −1.034 
               10.474 
             
             
               1.71 
               −1.052 
               10.474 
             
             
               1.751 
               −1.066 
               10.474 
             
             
               1.783 
               −1.077 
               10.474 
             
             
               1.807 
               −1.085 
               10.474 
             
             
               1.824 
               −1.093 
               10.474 
             
             
               1.829 
               −1.103 
               10.474 
             
             
               1.83 
               −1.109 
               10.474 
             
             
               1.83 
               −1.113 
               10.474 
             
             
               1.83 
               −1.114 
               10.474 
             
             
               1.83 
               −1.115 
               10.474 
             
             
               1.833 
               −1.463 
               11.784 
             
             
               1.833 
               −1.464 
               11.784 
             
             
               1.832 
               −1.468 
               11.784 
             
             
               1.828 
               −1.473 
               11.784 
             
             
               1.818 
               −1.479 
               11.784 
             
             
               1.798 
               −1.478 
               11.784 
             
             
               1.772 
               −1.474 
               11.784 
             
             
               1.737 
               −1.469 
               11.784 
             
             
               1.693 
               −1.462 
               11.784 
             
             
               1.636 
               −1.452 
               11.784 
             
             
               1.57 
               −1.441 
               11.784 
             
             
               1.501 
               −1.429 
               11.784 
             
             
               1.422 
               −1.414 
               11.784 
             
             
               1.335 
               −1.397 
               11.784 
             
             
               1.239 
               −1.378 
               11.784 
             
             
               1.139 
               −1.357 
               11.784 
             
             
               1.035 
               −1.334 
               11.784 
             
             
               0.927 
               −1.309 
               11.784 
             
             
               0.816 
               −1.281 
               11.784 
             
             
               0.7 
               −1.251 
               11.784 
             
             
               0.58 
               −1.217 
               11.784 
             
             
               0.457 
               −1.179 
               11.784 
             
             
               0.331 
               −1.137 
               11.784 
             
             
               0.206 
               −1.093 
               11.784 
             
             
               0.082 
               −1.045 
               11.784 
             
             
               −0.041 
               −0.994 
               11.784 
             
             
               −0.162 
               −0.94 
               11.784 
             
             
               −0.282 
               −0.882 
               11.784 
             
             
               −0.4 
               −0.82 
               11.784 
             
             
               −0.516 
               −0.756 
               11.784 
             
             
               −0.63 
               −0.688 
               11.784 
             
             
               −0.743 
               −0.618 
               11.784 
             
             
               −0.853 
               −0.544 
               11.784 
             
             
               −0.961 
               −0.469 
               11.784 
             
             
               −1.063 
               −0.392 
               11.784 
             
             
               −1.16 
               −0.316 
               11.784 
             
             
               −1.251 
               −0.24 
               11.784 
             
             
               −1.337 
               −0.165 
               11.784 
             
             
               −1.418 
               −0.09 
               11.784 
             
             
               −1.493 
               −0.016 
               11.784 
             
             
               −1.564 
               0.058 
               11.784 
             
             
               −1.627 
               0.127 
               11.784 
             
             
               −1.682 
               0.191 
               11.784 
             
             
               −1.73 
               0.249 
               11.784 
             
             
               −1.77 
               0.302 
               11.784 
             
             
               −1.805 
               0.348 
               11.784 
             
             
               −1.833 
               0.388 
               11.784 
             
             
               −1.856 
               0.423 
               11.784 
             
             
               −1.875 
               0.453 
               11.784 
             
             
               −1.889 
               0.478 
               11.784 
             
             
               −1.9 
               0.499 
               11.784 
             
             
               −1.906 
               0.515 
               11.784 
             
             
               −1.911 
               0.528 
               11.784 
             
             
               −1.913 
               0.539 
               11.784 
             
             
               −1.912 
               0.548 
               11.784 
             
             
               −1.909 
               0.554 
               11.784 
             
             
               −1.903 
               0.556 
               11.784 
             
             
               −1.895 
               0.556 
               11.784 
             
             
               −1.885 
               0.552 
               11.784 
             
             
               −1.873 
               0.547 
               11.784 
             
             
               −1.858 
               0.539 
               11.784 
             
             
               −1.839 
               0.527 
               11.784 
             
             
               −1.816 
               0.51 
               11.784 
             
             
               −1.789 
               0.49 
               11.784 
             
             
               −1.758 
               0.465 
               11.784 
             
             
               −1.721 
               0.435 
               11.784 
             
             
               −1.677 
               0.4 
               11.784 
             
             
               −1.627 
               0.36 
               11.784 
             
             
               −1.57 
               0.314 
               11.784 
             
             
               −1.506 
               0.264 
               11.784 
             
             
               −1.434 
               0.209 
               11.784 
             
             
               −1.356 
               0.149 
               11.784 
             
             
               −1.273 
               0.088 
               11.784 
             
             
               −1.186 
               0.025 
               11.784 
             
             
               −1.094 
               −0.038 
               11.784 
             
             
               −0.998 
               −0.103 
               11.784 
             
             
               −0.897 
               −0.169 
               11.784 
             
             
               −0.792 
               −0.236 
               11.784 
             
             
               −0.683 
               −0.303 
               11.784 
             
             
               −0.572 
               −0.369 
               11.784 
             
             
               −0.461 
               −0.433 
               11.784 
             
             
               −0.348 
               −0.496 
               11.784 
             
             
               −0.235 
               −0.557 
               11.784 
             
             
               −0.122 
               −0.617 
               11.784 
             
             
               −0.008 
               −0.676 
               11.784 
             
             
               0.106 
               −0.734 
               11.784 
             
             
               0.221 
               −0.791 
               11.784 
             
             
               0.337 
               −0.848 
               11.784 
             
             
               0.452 
               −0.903 
               11.784 
             
             
               0.569 
               −0.957 
               11.784 
             
             
               0.682 
               −1.008 
               11.784 
             
             
               0.791 
               −1.057 
               11.784 
             
             
               0.898 
               −1.102 
               11.784 
             
             
               1.001 
               −1.145 
               11.784 
             
             
               1.1 
               −1.185 
               11.784 
             
             
               1.196 
               −1.222 
               11.784 
             
             
               1.288 
               −1.257 
               11.784 
             
             
               1.377 
               −1.29 
               11.784 
             
             
               1.458 
               −1.318 
               11.784 
             
             
               1.531 
               −1.343 
               11.784 
             
             
               1.596 
               −1.365 
               11.784 
             
             
               1.658 
               −1.385 
               11.784 
             
             
               1.711 
               −1.402 
               11.784 
             
             
               1.752 
               −1.415 
               11.784 
             
             
               1.784 
               −1.425 
               11.784 
             
             
               1.809 
               −1.432 
               11.784 
             
             
               1.826 
               −1.44 
               11.784 
             
             
               1.832 
               −1.449 
               11.784 
             
             
               1.834 
               −1.456 
               11.784 
             
             
               1.834 
               −1.459 
               11.784 
             
             
               1.834 
               −1.461 
               11.784 
             
             
               1.834 
               −1.462 
               11.784 
             
             
               1.837 
               −1.795 
               13.094 
             
             
               1.837 
               −1.797 
               13.094 
             
             
               1.835 
               −1.801 
               13.094 
             
             
               1.831 
               −1.807 
               13.094 
             
             
               1.82 
               −1.812 
               13.094 
             
             
               1.799 
               −1.809 
               13.094 
             
             
               1.771 
               −1.805 
               13.094 
             
             
               1.734 
               −1.798 
               13.094 
             
             
               1.688 
               −1.79 
               13.094 
             
             
               1.628 
               −1.779 
               13.094 
             
             
               1.559 
               −1.764 
               13.094 
             
             
               1.485 
               −1.748 
               13.094 
             
             
               1.403 
               −1.729 
               13.094 
             
             
               1.312 
               −1.706 
               13.094 
             
             
               1.212 
               −1.68 
               13.094 
             
             
               1.108 
               −1.65 
               13.094 
             
             
               1 
               −1.617 
               13.094 
             
             
               0.889 
               −1.58 
               13.094 
             
             
               0.774 
               −1.539 
               13.094 
             
             
               0.655 
               −1.494 
               13.094 
             
             
               0.534 
               −1.444 
               13.094 
             
             
               0.409 
               −1.389 
               13.094 
             
             
               0.281 
               −1.33 
               13.094 
             
             
               0.155 
               −1.267 
               13.094 
             
             
               0.031 
               −1.2 
               13.094 
             
             
               −0.091 
               −1.13 
               13.094 
             
             
               −0.211 
               −1.057 
               13.094 
             
             
               −0.329 
               −0.98 
               13.094 
             
             
               −0.445 
               −0.9 
               13.094 
             
             
               −0.559 
               −0.817 
               13.094 
             
             
               −0.671 
               −0.731 
               13.094 
             
             
               −0.781 
               −0.643 
               13.094 
             
             
               −0.888 
               −0.551 
               13.094 
             
             
               −0.993 
               −0.458 
               13.094 
             
             
               −1.091 
               −0.365 
               13.094 
             
             
               −1.184 
               −0.273 
               13.094 
             
             
               −1.272 
               −0.182 
               13.094 
             
             
               −1.354 
               −0.093 
               13.094 
             
             
               −1.431 
               −0.005 
               13.094 
             
             
               −1.503 
               0.081 
               13.094 
             
             
               −1.57 
               0.165 
               13.094 
             
             
               −1.629 
               0.244 
               13.094 
             
             
               −1.682 
               0.316 
               13.094 
             
             
               −1.727 
               0.382 
               13.094 
             
             
               −1.766 
               0.441 
               13.094 
             
             
               −1.799 
               0.492 
               13.094 
             
             
               −1.826 
               0.536 
               13.094 
             
             
               −1.848 
               0.575 
               13.094 
             
             
               −1.866 
               0.607 
               13.094 
             
             
               −1.88 
               0.635 
               13.094 
             
             
               −1.89 
               0.657 
               13.094 
             
             
               −1.897 
               0.674 
               13.094 
             
             
               −1.901 
               0.688 
               13.094 
             
             
               −1.904 
               0.699 
               13.094 
             
             
               −1.904 
               0.709 
               13.094 
             
             
               −1.901 
               0.715 
               13.094 
             
             
               −1.894 
               0.716 
               13.094 
             
             
               −1.886 
               0.714 
               13.094 
             
             
               −1.876 
               0.708 
               13.094 
             
             
               −1.865 
               0.7 
               13.094 
             
             
               −1.85 
               0.688 
               13.094 
             
             
               −1.833 
               0.673 
               13.094 
             
             
               −1.811 
               0.652 
               13.094 
             
             
               −1.786 
               0.626 
               13.094 
             
             
               −1.756 
               0.595 
               13.094 
             
             
               −1.721 
               0.559 
               13.094 
             
             
               −1.68 
               0.516 
               13.094 
             
             
               −1.633 
               0.467 
               13.094 
             
             
               −1.579 
               0.411 
               13.094 
             
             
               −1.518 
               0.349 
               13.094 
             
             
               −1.451 
               0.281 
               13.094 
             
             
               −1.376 
               0.207 
               13.094 
             
             
               −1.297 
               0.131 
               13.094 
             
             
               −1.214 
               0.053 
               13.094 
             
             
               −1.126 
               −0.027 
               13.094 
             
             
               −1.034 
               −0.109 
               13.094 
             
             
               −0.938 
               −0.193 
               13.094 
             
             
               −0.836 
               −0.278 
               13.094 
             
             
               −0.73 
               −0.364 
               13.094 
             
             
               −0.622 
               −0.448 
               13.094 
             
             
               −0.513 
               −0.531 
               13.094 
             
             
               −0.403 
               −0.612 
               13.094 
             
             
               −0.292 
               −0.692 
               13.094 
             
             
               −0.179 
               −0.769 
               13.094 
             
             
               −0.066 
               −0.845 
               13.094 
             
             
               0.048 
               −0.92 
               13.094 
             
             
               0.163 
               −0.993 
               13.094 
             
             
               0.279 
               −1.065 
               13.094 
             
             
               0.395 
               −1.135 
               13.094 
             
             
               0.513 
               −1.204 
               13.094 
             
             
               0.628 
               −1.269 
               13.094 
             
             
               0.74 
               −1.329 
               13.094 
             
             
               0.849 
               −1.385 
               13.094 
             
             
               0.955 
               −1.438 
               13.094 
             
             
               1.059 
               −1.486 
               13.094 
             
             
               1.159 
               −1.531 
               13.094 
             
             
               1.256 
               −1.572 
               13.094 
             
             
               1.349 
               −1.61 
               13.094 
             
             
               1.435 
               −1.643 
               13.094 
             
             
               1.512 
               −1.671 
               13.094 
             
             
               1.581 
               −1.695 
               13.094 
             
             
               1.647 
               −1.716 
               13.094 
             
             
               1.704 
               −1.734 
               13.094 
             
             
               1.747 
               −1.747 
               13.094 
             
             
               1.783 
               −1.758 
               13.094 
             
             
               1.809 
               −1.765 
               13.094 
             
             
               1.828 
               −1.772 
               13.094 
             
             
               1.835 
               −1.781 
               13.094 
             
             
               1.837 
               −1.788 
               13.094 
             
             
               1.838 
               −1.792 
               13.094 
             
             
               1.837 
               −1.794 
               13.094 
             
             
               1.837 
               −1.794 
               13.094 
             
             
                 
             
           
        
       
     
   
   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.