PATENT DOCUMENT

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

Full Description:
BACKGROUND OF THE INVENTION 
       [0001]    The present invention is related to the following GE dockets: ______, filed on _, respectively. 
         [0002]    The present invention relates to airfoils for a rotor blade of a gas turbine. In particular, the invention relates to compressor airfoil profiles for various stages of the compressor. In particular, the invention relates to compressor airfoil profiles for either inlet guide vanes, rotors, or stators at various stages of the compressor. 
         [0003]    In a gas turbine, many system requirements should be met at each stage of a gas turbine&#39;s flow path section to meet design goals. These design goals include, but are not limited to, overall improved efficiency and airfoil loading capability. For example, and in no way limiting of the invention, a blade of a compressor stator should achieve thermal and mechanical operating requirements for that particular stage. Further, for example, and in no way limiting of the invention, a blade of a compressor rotor should achieve thermal and mechanical operating requirements for that particular stage. 
       BRIEF DESCRIPTION OF THE INVENTION 
       [0004]    In accordance with one exemplary aspect of the instant invention, an article of manufacture having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE 1. Wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches. The profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape. 
         [0005]    In accordance with another exemplary aspect of the instant invention, a compressor comprises a compressor wheel. The compressor wheel has a plurality of articles of manufacture. Each of the articles of manufacture includes an airfoil having an airfoil shape. The airfoil comprises a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE 1, wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches. The profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape. 
         [0006]    In accordance with yet exemplary another aspect of the instant invention, a compressor comprises a compressor wheel having a plurality of articles of manufacture. Each of the articles of manufacture includes an airfoil having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE 1, wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches. The profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0007]      FIG. 1  is a schematic exemplary representation of a compressor flow path through multiple stages of a gas turbine and illustrates an exemplary airfoil according to an embodiment of the invention; 
           [0008]      FIGS. 2 and 3  are respective perspective exemplary views of a rotor blade according to an embodiment of the invention with the rotor blade airfoil illustrated in conjunction with its platform and its substantially or near axial entry dovetail connection; 
           [0009]      FIGS. 4 and 5  are side elevational views of the rotor blade of  FIG. 2  and associated platform and dovetail connection as viewed in a generally circumferential direction from the pressure and suction sides of the airfoil, respectively; 
           [0010]      FIG. 6  is a cross-sectional view of the rotor blade airfoil taken generally about on line  6 - 6  in  FIG. 5 ; 
           [0011]      FIG. 7  is a perspective views of a rotor blade according to an exemplary embodiment of the invention with coordinate system superimposed thereon; and 
           [0012]      FIG. 8  is a perspective view of a stator blade according to an exemplary embodiment of the invention with coordinate system superimposed thereon. 
       
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
       [0013]    Referring now to the drawings,  FIG. 1  illustrates an axial compressor flow path  1  of a gas turbine compressor  2  that includes a plurality of compressor stages. The compressor stages are sequentially numbered in the Figure. The compressor flow path comprises any number of rotor stages and stator stages, such as eighteen. However, the exact number of rotor and stator stages is a choice of engineering design. Any number of rotor and stator stages can be provided in the combustor, as embodied by the invention. The seventeen rotor stages are merely exemplary of one turbine design. The eighteen rotor stages are not intended to limit the invention in any manner. 
         [0014]    The compressor rotor blades impart kinetic energy to the airflow and therefore bring about a desired pressure rise across the compressor. Directly following the rotor airfoils is a stage of stator airfoils. Both the rotor and stator airfoils turn the airflow, slow the airflow velocity (in the respective airfoil frame of reference), and yield a rise in the static pressure of the airflow. The configuration of the airfoil (along with its interaction with surrounding airfoils), including its peripheral surface provides for stage airflow efficiency, enhanced aeromechanics, smooth laminar flow from stage to stage, reduced thermal stresses, enhanced interrelation of the stages to effectively pass the airflow from stage to stage, and reduced mechanical stresses, among other desirable aspects of the invention. Typically, multiple rows of rotor/stator stages are stacked in axial flow compressors to achieve a desired discharge to inlet pressure ratio. Rotor and stator airfoils can be secured to rotor wheels or stator case by an appropriate attachment configuration, often known as a “root”, “base” or “dovetail” (see  FIGS. 2-5 ). 
         [0015]    A stage of the compressor  2  is exemplarily illustrated in  FIG. 1 . The stage of the compressor  2  comprises a plurality of circumferentially spaced rotor blades  22  mounted on a rotor wheel  51  and a plurality of circumferentially spaced stator blades  23  attached to a static compressor case  59 . Each of the rotor wheels is attached to aft drive shaft  58 , which is connected to the turbine section of the engine. The rotor blades and stator blades lie in the flow path  1  of the compressor. The direction of airflow through the compressor flow path  1 , as embodied by the invention, is indicated by the arrow  60  ( FIG. 1 ). This stage of the compressor  2  is merely exemplarily of the stages of the compressor  2  within the scope of the invention. The illustrated and described stage of the compressor  2  is not intended to limit the invention in any manner. 
         [0016]    The rotor blades  22  are mounted on the rotor wheel  51  forming part of aft drive shaft  58 . Each rotor blade  22 , as illustrated in  FIGS. 2-6 , is provided with a platform  61 , and substantially or near axial entry dovetail  62  for connection with a complementary-shaped mating dovetail, not shown, on the rotor wheel  51 . An axial entry dovetail, however, may be provided with the airfoil profile, as embodied by the invention. Each rotor blade  22  comprises a rotor blade airfoil  63 , as illustrated in  FIGS. 2-6 . Thus, each of the rotor blades  22  has a rotor blade airfoil profile  66  at any cross-section from the airfoil root  64  at a midpoint of platform  61  to the rotor blade tip  65  in the general shape of an airfoil ( FIG. 6 ). 
         [0017]    To define the airfoil shape of the rotor blade airfoil, a unique set or loci of points in space are provided. This unique set or loci of points meet the stage requirements so the stage can be manufactured. This unique loci of points also meets the desired requirements for stage efficiency and reduced thermal and mechanical stresses. The loci of points are arrived at by iteration between aerodynamic and mechanical loadings enabling the compressor to run in an efficient, safe and smooth manner. 
         [0018]    The loci, as embodied by the invention, defines the rotor blade airfoil profile and can comprise a set of points relative to the axis of rotation of the engine. For example, a set of points can be provided to define a rotor blade airfoil profile. 
         [0019]    A Cartesian coordinate system of X, Y and Z values given in the Table below defines a profile of a rotor blade airfoil at various locations along its length. The airfoil, as embodied by the invention, could find an application as a 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. 
         [0020]    For reference purposes only, there is established point- 0  passing through the intersection of the airfoil and the platform along the stacking axis, as illustrated in  FIG. 5 . In the exemplary embodiment of the airfoil hereof, the point- 0  is defined as the reference section where the Z coordinate of the table above is at 0.000 inches, which is a set predetermined distance from the engine or rotor centerline. 
         [0021]    By defining X and Y coordinate values at selected locations in a Z direction normal to the X, Y plane, the profile section of the rotor blade airfoil, such as, but not limited to the profile section  66  in  FIG. 6 , at each Z distance along the length of the airfoil can be ascertained. By connecting the X and Y values with smooth continuing arcs, each profile section  66  at each distance Z can be fixed. The airfoil profiles of the various surface locations between the distances Z are determined by smoothly connecting the adjacent profile sections  66  to one another, thus forming the airfoil profile. These values represent the airfoil profiles at ambient, non-operating or non-hot conditions and are for an uncoated airfoil. 
         [0022]    The table values are generated and shown to three decimal places for determining the profile of the airfoil. There are typical manufacturing tolerances as well as coatings, which should be accounted for in the actual profile of the airfoil. Accordingly, the values for the profile given are for a nominal airfoil. It will therefore be appreciated that +/−typical manufacturing tolerances, such as, +/−values, including any coating thicknesses, are additive to the X and Y values. Therefore, a distance of about +/−0.160 inches in a direction normal to any surface location along the airfoil profile defines an airfoil profile envelope for a rotor blade airfoil design and compressor. In other words, a distance of about +/−0.160 inches in a direction normal to any surface location along the airfoil profile defines a range of variation between measured points on the actual airfoil surface at nominal cold or room temperature and the ideal position of those points, at the same temperature, as embodied by the invention. The rotor blade airfoil design, as embodied by the invention, is robust to this range of variation without impairment of mechanical and aerodynamic functions. 
         [0023]    The coordinate values given in TABLE 1 below provide the nominal profile envelope for an exemplary 4 th  stage airfoil variable stator blade. 
         [0000]    
       
         
               
               
               
             
               
               
               
             
           
               
                 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 
               
               
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                 −0.63 
                 10.474 
               
               
                 −0.28 
                 −0.576 
                 10.474 
               
               
                 −0.398 
                 −0.518 
                 10.474 
               
               
                 −0.515 
                 −0.457 
                 10.474 
               
               
                 −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 
               
               
                   
               
             
          
         
       
     
         [0024]    It will also be appreciated that the exemplary airfoil(s) disclosed in the above Table 1 may be scaled up or down geometrically for use in other similar compressor designs. Consequently, the coordinate values set forth in the Table 1 may be scaled upwardly or downwardly such that the airfoil profile shape remains unchanged. A scaled version of the coordinates in Table 1 would be represented by X, Y and Z coordinate values of Table 1 multiplied or divided by a constant. 
         [0025]    While various embodiments are described herein, it will be appreciated from the specification that various combinations of elements, variations or improvements therein may be made by those skilled in the art, and are within the scope of the invention.