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

Description:
BACKGROUND OF THE INVENTION 
     The present invention is related to the following GE commonly assigned Applications : Ser. Nos. 11/586,060, 11/586,049, 11/586,050, 11/586,051, 11/586,052, 11/586,046, 11/586,053, 11/586,054, 11/586,085, 11/586,055, 11/586,088, 11/586,086, 11/586,045, 11/586,087, 11/586,059, 11/586,092, 11/586,090, 11/586,089 and 11/586,091 each filed on Oct. 25, 2006; and the following GE commonly assigned applications: Ser. Nos. 11/591,695, 11/591,694, 11/591,693 and 11/591,692 each filed on Nov. 2, 2006. 
     The present invention relates to airfoils for a rotor blade of a gas turbine. In particular, the invention relates to compressor airfoil profiles for various stages of the compressor. In particular, the invention relates to compressor airfoil profiles for either inlet guide vanes, rotors, or stators at various stages of the compressor. 
     In a gas turbine, many system requirements should be met at each stage of a gas turbine&#39;s flow path section to meet design goals. These design goals include, but are not limited to, overall improved efficiency and airfoil loading capability. For example, and in no way limiting of the invention, a blade of a compressor stator should achieve thermal and mechanical operating requirements for that particular stage. Further, for example, and in no way limiting of the invention, a blade of a compressor rotor should achieve thermal and mechanical operating requirements for that particular stage. 
     BRIEF DESCRIPTION OF THE INVENTION 
     In accordance with one exemplary aspect of the instant invention, an article of manufacture having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE 1. Wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches. The profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape. 
     In accordance with another exemplary aspect of the instant invention, a compressor comprises a compressor wheel. The compressor wheel has a plurality of articles of manufacture. Each of the articles of manufacture includes an airfoil having an airfoil shape. The airfoil comprises a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE 1, wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches. The profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape. 
     In accordance with yet exemplary another aspect of the instant invention, a compressor comprises a compressor wheel having a plurality of articles of manufacture. Each of the articles of manufacture includes an airfoil having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE 1, wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches. The profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG. 1  is a schematic exemplary representation of a compressor flow path through multiple stages of a gas turbine and illustrates an exemplary airfoil according to an embodiment of the invention; 
         FIGS. 2 and 3  are respective perspective exemplary views of a rotor blade according to an embodiment of the invention with the rotor blade airfoil illustrated in conjunction with its platform and its substantially or near axial entry dovetail connection; 
         FIGS. 4 and 5  are side elevational views of the rotor blade of  FIG. 2  and associated platform and dovetail connection as viewed in a generally circumferential direction from the pressure and suction sides of the airfoil, respectively; 
         FIG. 6  is a cross-sectional view of the rotor blade airfoil taken generally about on line  6 - 6  in  FIG. 5 ; 
         FIG. 7  is a perspective views of a rotor blade according to an exemplary embodiment of the invention with coordinate system superimposed thereon; and 
         FIG. 8  is a perspective view of a stator blade according to an exemplary embodiment of the invention with coordinate system superimposed thereon. 
     
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
     Referring now to the drawings,  FIG. 1  illustrates an axial compressor flow path  1  of a gas turbine compressor  2  that includes a plurality of compressor stages. The compressor stages are sequentially numbered in the Figure. The compressor flow path comprises any number of rotor stages and stator stages, such as eighteen. However, the exact number of rotor and stator stages is a choice of engineering design. Any number of rotor and stator stages can be provided in the combustor, as embodied by the invention. The eighteen 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 rotor 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 rotor blade. 
     
       
         
               
               
               
             
               
               
               
             
           
               
                 TABLE 1 
               
               
                   
               
               
                 X-LOC 
                 Y-LOC 
                 Z-LOC 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 2.15 
                 0.36 
                 0.016 
               
               
                 2.152 
                 0.353 
                 0.016 
               
               
                 2.153 
                 0.344 
                 0.016 
               
               
                 2.153 
                 0.332 
                 0.016 
               
               
                 2.151 
                 0.318 
                 0.016 
               
               
                 2.144 
                 0.301 
                 0.016 
               
               
                 2.128 
                 0.283 
                 0.016 
               
               
                 2.101 
                 0.268 
                 0.016 
               
               
                 2.066 
                 0.254 
                 0.016 
               
               
                 2.025 
                 0.236 
                 0.016 
               
               
                 1.977 
                 0.216 
                 0.016 
               
               
                 1.92 
                 0.193 
                 0.016 
               
               
                 1.855 
                 0.166 
                 0.016 
               
               
                 1.78 
                 0.136 
                 0.016 
               
               
                 1.696 
                 0.103 
                 0.016 
               
               
                 1.604 
                 0.067 
                 0.016 
               
               
                 1.502 
                 0.03 
                 0.016 
               
               
                 1.395 
                 −0.009 
                 0.016 
               
               
                 1.283 
                 −0.048 
                 0.016 
               
               
                 1.167 
                 −0.087 
                 0.016 
               
               
                 1.046 
                 −0.126 
                 0.016 
               
               
                 0.919 
                 −0.165 
                 0.016 
               
               
                 0.788 
                 −0.203 
                 0.016 
               
               
                 0.651 
                 −0.239 
                 0.016 
               
               
                 0.513 
                 −0.273 
                 0.016 
               
               
                 0.375 
                 −0.305 
                 0.016 
               
               
                 0.235 
                 −0.333 
                 0.016 
               
               
                 0.096 
                 −0.357 
                 0.016 
               
               
                 −0.043 
                 −0.378 
                 0.016 
               
               
                 −0.183 
                 −0.394 
                 0.016 
               
               
                 −0.323 
                 −0.405 
                 0.016 
               
               
                 −0.464 
                 −0.412 
                 0.016 
               
               
                 −0.604 
                 −0.415 
                 0.016 
               
               
                 −0.745 
                 −0.411 
                 0.016 
               
               
                 −0.886 
                 −0.401 
                 0.016 
               
               
                 −1.023 
                 −0.385 
                 0.016 
               
               
                 −1.155 
                 −0.362 
                 0.016 
               
               
                 −1.28 
                 −0.334 
                 0.016 
               
               
                 −1.4 
                 −0.301 
                 0.016 
               
               
                 −1.513 
                 −0.263 
                 0.016 
               
               
                 −1.619 
                 −0.222 
                 0.016 
               
               
                 −1.718 
                 −0.177 
                 0.016 
               
               
                 −1.811 
                 −0.129 
                 0.016 
               
               
                 −1.892 
                 −0.082 
                 0.016 
               
               
                 −1.964 
                 −0.035 
                 0.016 
               
               
                 −2.026 
                 0.009 
                 0.016 
               
               
                 −2.081 
                 0.054 
                 0.016 
               
               
                 −2.128 
                 0.097 
                 0.016 
               
               
                 −2.161 
                 0.131 
                 0.016 
               
               
                 −2.185 
                 0.161 
                 0.016 
               
               
                 −2.201 
                 0.185 
                 0.016 
               
               
                 −2.21 
                 0.205 
                 0.016 
               
               
                 −2.212 
                 0.217 
                 0.016 
               
               
                 −2.212 
                 0.224 
                 0.016 
               
               
                 −2.211 
                 0.228 
                 0.016 
               
               
                 −2.21 
                 0.23 
                 0.016 
               
               
                 −2.209 
                 0.231 
                 0.016 
               
               
                 −2.209 
                 0.232 
                 0.016 
               
               
                 −2.208 
                 0.233 
                 0.016 
               
               
                 −2.206 
                 0.236 
                 0.016 
               
               
                 −2.2 
                 0.24 
                 0.016 
               
               
                 −2.19 
                 0.245 
                 0.016 
               
               
                 −2.17 
                 0.249 
                 0.016 
               
               
                 −2.143 
                 0.249 
                 0.016 
               
               
                 −2.108 
                 0.245 
                 0.016 
               
               
                 −2.064 
                 0.237 
                 0.016 
               
               
                 −2.008 
                 0.226 
                 0.016 
               
               
                 −1.943 
                 0.211 
                 0.016 
               
               
                 −1.874 
                 0.196 
                 0.016 
               
               
                 −1.795 
                 0.18 
                 0.016 
               
               
                 −1.708 
                 0.164 
                 0.016 
               
               
                 −1.612 
                 0.148 
                 0.016 
               
               
                 −1.511 
                 0.133 
                 0.016 
               
               
                 −1.406 
                 0.12 
                 0.016 
               
               
                 −1.296 
                 0.109 
                 0.016 
               
               
                 −1.182 
                 0.1 
                 0.016 
               
               
                 −1.063 
                 0.093 
                 0.016 
               
               
                 −0.94 
                 0.088 
                 0.016 
               
               
                 −0.811 
                 0.086 
                 0.016 
               
               
                 −0.679 
                 0.084 
                 0.016 
               
               
                 −0.546 
                 0.085 
                 0.016 
               
               
                 −0.413 
                 0.086 
                 0.016 
               
               
                 −0.281 
                 0.09 
                 0.016 
               
               
                 −0.148 
                 0.095 
                 0.016 
               
               
                 −0.016 
                 0.101 
                 0.016 
               
               
                 0.117 
                 0.108 
                 0.016 
               
               
                 0.249 
                 0.117 
                 0.016 
               
               
                 0.382 
                 0.128 
                 0.016 
               
               
                 0.514 
                 0.14 
                 0.016 
               
               
                 0.646 
                 0.153 
                 0.016 
               
               
                 0.778 
                 0.168 
                 0.016 
               
               
                 0.905 
                 0.184 
                 0.016 
               
               
                 1.028 
                 0.2 
                 0.016 
               
               
                 1.146 
                 0.218 
                 0.016 
               
               
                 1.26 
                 0.236 
                 0.016 
               
               
                 1.369 
                 0.255 
                 0.016 
               
               
                 1.473 
                 0.275 
                 0.016 
               
               
                 1.573 
                 0.294 
                 0.016 
               
               
                 1.664 
                 0.313 
                 0.016 
               
               
                 1.746 
                 0.331 
                 0.016 
               
               
                 1.82 
                 0.347 
                 0.016 
               
               
                 1.885 
                 0.362 
                 0.016 
               
               
                 1.941 
                 0.375 
                 0.016 
               
               
                 1.988 
                 0.386 
                 0.016 
               
               
                 2.028 
                 0.396 
                 0.016 
               
               
                 2.062 
                 0.405 
                 0.016 
               
               
                 2.091 
                 0.407 
                 0.016 
               
               
                 2.113 
                 0.401 
                 0.016 
               
               
                 2.127 
                 0.392 
                 0.016 
               
               
                 2.137 
                 0.383 
                 0.016 
               
               
                 2.143 
                 0.374 
                 0.016 
               
               
                 2.147 
                 0.366 
                 0.016 
               
               
                 2.114 
                 0.295 
                 1.432 
               
               
                 2.115 
                 0.288 
                 1.432 
               
               
                 2.115 
                 0.279 
                 1.432 
               
               
                 2.114 
                 0.268 
                 1.432 
               
               
                 2.109 
                 0.256 
                 1.432 
               
               
                 2.097 
                 0.242 
                 1.432 
               
               
                 2.076 
                 0.231 
                 1.432 
               
               
                 2.049 
                 0.22 
                 1.432 
               
               
                 2.015 
                 0.208 
                 1.432 
               
               
                 1.975 
                 0.193 
                 1.432 
               
               
                 1.928 
                 0.176 
                 1.432 
               
               
                 1.872 
                 0.157 
                 1.432 
               
               
                 1.807 
                 0.135 
                 1.432 
               
               
                 1.734 
                 0.11 
                 1.432 
               
               
                 1.652 
                 0.083 
                 1.432 
               
               
                 1.561 
                 0.053 
                 1.432 
               
               
                 1.461 
                 0.022 
                 1.432 
               
               
                 1.356 
                 −0.009 
                 1.432 
               
               
                 1.247 
                 −0.041 
                 1.432 
               
               
                 1.133 
                 −0.073 
                 1.432 
               
               
                 1.015 
                 −0.105 
                 1.432 
               
               
                 0.891 
                 −0.136 
                 1.432 
               
               
                 0.763 
                 −0.167 
                 1.432 
               
               
                 0.629 
                 −0.196 
                 1.432 
               
               
                 0.496 
                 −0.223 
                 1.432 
               
               
                 0.362 
                 −0.246 
                 1.432 
               
               
                 0.227 
                 −0.267 
                 1.432 
               
               
                 0.093 
                 −0.286 
                 1.432 
               
               
                 −0.042 
                 −0.3 
                 1.432 
               
               
                 −0.177 
                 −0.311 
                 1.432 
               
               
                 −0.312 
                 −0.319 
                 1.432 
               
               
                 −0.448 
                 −0.322 
                 1.432 
               
               
                 −0.584 
                 −0.32 
                 1.432 
               
               
                 −0.721 
                 −0.314 
                 1.432 
               
               
                 −0.858 
                 −0.302 
                 1.432 
               
               
                 −0.99 
                 −0.286 
                 1.432 
               
               
                 −1.116 
                 −0.265 
                 1.432 
               
               
                 −1.237 
                 −0.239 
                 1.432 
               
               
                 −1.352 
                 −0.211 
                 1.432 
               
               
                 −1.462 
                 −0.179 
                 1.432 
               
               
                 −1.567 
                 −0.144 
                 1.432 
               
               
                 −1.665 
                 −0.107 
                 1.432 
               
               
                 −1.758 
                 −0.068 
                 1.432 
               
               
                 −1.841 
                 −0.029 
                 1.432 
               
               
                 −1.914 
                 0.009 
                 1.432 
               
               
                 −1.978 
                 0.046 
                 1.432 
               
               
                 −2.036 
                 0.082 
                 1.432 
               
               
                 −2.085 
                 0.116 
                 1.432 
               
               
                 −2.121 
                 0.145 
                 1.432 
               
               
                 −2.147 
                 0.171 
                 1.432 
               
               
                 −2.165 
                 0.192 
                 1.432 
               
               
                 −2.174 
                 0.21 
                 1.432 
               
               
                 −2.177 
                 0.221 
                 1.432 
               
               
                 −2.177 
                 0.229 
                 1.432 
               
               
                 −2.177 
                 0.232 
                 1.432 
               
               
                 −2.176 
                 0.234 
                 1.432 
               
               
                 −2.176 
                 0.235 
                 1.432 
               
               
                 −2.175 
                 0.236 
                 1.432 
               
               
                 −2.175 
                 0.237 
                 1.432 
               
               
                 −2.173 
                 0.24 
                 1.432 
               
               
                 −2.168 
                 0.246 
                 1.432 
               
               
                 −2.159 
                 0.252 
                 1.432 
               
               
                 −2.141 
                 0.259 
                 1.432 
               
               
                 −2.115 
                 0.263 
                 1.432 
               
               
                 −2.08 
                 0.265 
                 1.432 
               
               
                 −2.037 
                 0.263 
                 1.432 
               
               
                 −1.981 
                 0.259 
                 1.432 
               
               
                 −1.916 
                 0.252 
                 1.432 
               
               
                 −1.847 
                 0.245 
                 1.432 
               
               
                 −1.77 
                 0.236 
                 1.432 
               
               
                 −1.684 
                 0.226 
                 1.432 
               
               
                 −1.589 
                 0.216 
                 1.432 
               
               
                 −1.49 
                 0.205 
                 1.432 
               
               
                 −1.386 
                 0.195 
                 1.432 
               
               
                 −1.278 
                 0.186 
                 1.432 
               
               
                 −1.166 
                 0.177 
                 1.432 
               
               
                 −1.05 
                 0.168 
                 1.432 
               
               
                 −0.929 
                 0.161 
                 1.432 
               
               
                 −0.803 
                 0.155 
                 1.432 
               
               
                 −0.673 
                 0.15 
                 1.432 
               
               
                 −0.544 
                 0.146 
                 1.432 
               
               
                 −0.414 
                 0.143 
                 1.432 
               
               
                 −0.284 
                 0.141 
                 1.432 
               
               
                 −0.154 
                 0.141 
                 1.432 
               
               
                 −0.024 
                 0.141 
                 1.432 
               
               
                 0.106 
                 0.143 
                 1.432 
               
               
                 0.236 
                 0.145 
                 1.432 
               
               
                 0.366 
                 0.148 
                 1.432 
               
               
                 0.496 
                 0.153 
                 1.432 
               
               
                 0.626 
                 0.159 
                 1.432 
               
               
                 0.756 
                 0.167 
                 1.432 
               
               
                 0.881 
                 0.176 
                 1.432 
               
               
                 1.002 
                 0.185 
                 1.432 
               
               
                 1.119 
                 0.196 
                 1.432 
               
               
                 1.231 
                 0.208 
                 1.432 
               
               
                 1.338 
                 0.22 
                 1.432 
               
               
                 1.442 
                 0.234 
                 1.432 
               
               
                 1.54 
                 0.247 
                 1.432 
               
               
                 1.63 
                 0.26 
                 1.432 
               
               
                 1.712 
                 0.273 
                 1.432 
               
               
                 1.785 
                 0.285 
                 1.432 
               
               
                 1.849 
                 0.295 
                 1.432 
               
               
                 1.904 
                 0.305 
                 1.432 
               
               
                 1.951 
                 0.313 
                 1.432 
               
               
                 1.991 
                 0.32 
                 1.432 
               
               
                 2.025 
                 0.327 
                 1.432 
               
               
                 2.053 
                 0.332 
                 1.432 
               
               
                 2.075 
                 0.332 
                 1.432 
               
               
                 2.091 
                 0.325 
                 1.432 
               
               
                 2.101 
                 0.317 
                 1.432 
               
               
                 2.108 
                 0.309 
                 1.432 
               
               
                 2.112 
                 0.301 
                 1.432 
               
               
                 2.112 
                 0.191 
                 2.849 
               
               
                 2.113 
                 0.184 
                 2.849 
               
               
                 2.112 
                 0.176 
                 2.849 
               
               
                 2.108 
                 0.165 
                 2.849 
               
               
                 2.099 
                 0.155 
                 2.849 
               
               
                 2.084 
                 0.147 
                 2.849 
               
               
                 2.061 
                 0.14 
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                 11.348 
               
               
                 −0.131 
                 −0.504 
                 11.348 
               
               
                 −0.26 
                 −0.457 
                 11.348 
               
               
                 −0.387 
                 −0.408 
                 11.348 
               
               
                 −0.514 
                 −0.356 
                 11.348 
               
               
                 −0.64 
                 −0.301 
                 11.348 
               
               
                 −0.761 
                 −0.246 
                 11.348 
               
               
                 −0.877 
                 −0.19 
                 11.348 
               
               
                 −0.987 
                 −0.133 
                 11.348 
               
               
                 −1.093 
                 −0.076 
                 11.348 
               
               
                 −1.194 
                 −0.019 
                 11.348 
               
               
                 −1.289 
                 0.038 
                 11.348 
               
               
                 −1.379 
                 0.094 
                 11.348 
               
               
                 −1.464 
                 0.15 
                 11.348 
               
               
                 −1.539 
                 0.203 
                 11.348 
               
               
                 −1.607 
                 0.252 
                 11.348 
               
               
                 −1.666 
                 0.297 
                 11.348 
               
               
                 −1.72 
                 0.34 
                 11.348 
               
               
                 −1.766 
                 0.379 
                 11.348 
               
               
                 −1.8 
                 0.41 
                 11.348 
               
               
                 −1.826 
                 0.436 
                 11.348 
               
               
                 −1.845 
                 0.456 
                 11.348 
               
               
                 −1.857 
                 0.473 
                 11.348 
               
               
                 −1.863 
                 0.483 
                 11.348 
               
               
                 −1.865 
                 0.49 
                 11.348 
               
               
                 −1.865 
                 0.494 
                 11.348 
               
               
                 −1.864 
                 0.496 
                 11.348 
               
               
                 −1.864 
                 0.496 
                 11.348 
               
               
                 −1.863 
                 0.497 
                 11.348 
               
               
                 −1.862 
                 0.498 
                 11.348 
               
               
                 −1.858 
                 0.499 
                 11.348 
               
               
                 −1.851 
                 0.499 
                 11.348 
               
               
                 −1.84 
                 0.496 
                 11.348 
               
               
                 −1.821 
                 0.489 
                 11.348 
               
               
                 −1.796 
                 0.477 
                 11.348 
               
               
                 −1.764 
                 0.46 
                 11.348 
               
               
                 −1.725 
                 0.438 
                 11.348 
               
               
                 −1.674 
                 0.408 
                 11.348 
               
               
                 −1.616 
                 0.373 
                 11.348 
               
               
                 −1.553 
                 0.337 
                 11.348 
               
               
                 −1.482 
                 0.296 
                 11.348 
               
               
                 −1.403 
                 0.252 
                 11.348 
               
               
                 −1.315 
                 0.205 
                 11.348 
               
               
                 −1.223 
                 0.157 
                 11.348 
               
               
                 −1.126 
                 0.108 
                 11.348 
               
               
                 −1.024 
                 0.059 
                 11.348 
               
               
                 −0.918 
                 0.009 
                 11.348 
               
               
                 −0.807 
                 −0.042 
                 11.348 
               
               
                 −0.69 
                 −0.092 
                 11.348 
               
               
                 −0.57 
                 −0.143 
                 11.348 
               
               
                 −0.444 
                 −0.194 
                 11.348 
               
               
                 −0.317 
                 −0.244 
                 11.348 
               
               
                 −0.19 
                 −0.292 
                 11.348 
               
               
                 −0.063 
                 −0.339 
                 11.348 
               
               
                 0.065 
                 −0.385 
                 11.348 
               
               
                 0.193 
                 −0.43 
                 11.348 
               
               
                 0.322 
                 −0.474 
                 11.348 
               
               
                 0.45 
                 −0.518 
                 11.348 
               
               
                 0.579 
                 −0.561 
                 11.348 
               
               
                 0.708 
                 −0.603 
                 11.348 
               
               
                 0.837 
                 −0.645 
                 11.348 
               
               
                 0.967 
                 −0.686 
                 11.348 
               
               
                 1.092 
                 −0.726 
                 11.348 
               
               
                 1.213 
                 −0.763 
                 11.348 
               
               
                 1.33 
                 −0.799 
                 11.348 
               
               
                 1.443 
                 −0.833 
                 11.348 
               
               
                 1.551 
                 −0.866 
                 11.348 
               
               
                 1.655 
                 −0.896 
                 11.348 
               
               
                 1.755 
                 −0.926 
                 11.348 
               
               
                 1.847 
                 −0.952 
                 11.348 
               
               
                 1.93 
                 −0.975 
                 11.348 
               
               
                 2.004 
                 −0.996 
                 11.348 
               
               
                 2.069 
                 −1.014 
                 11.348 
               
               
                 2.126 
                 −1.029 
                 11.348 
               
               
                 2.174 
                 −1.042 
                 11.348 
               
               
                 2.215 
                 −1.054 
                 11.348 
               
               
                 2.25 
                 −1.063 
                 11.348 
               
               
                 2.278 
                 −1.07 
                 11.348 
               
               
                 2.301 
                 −1.076 
                 11.348 
               
               
                 2.319 
                 −1.081 
                 11.348 
               
               
                 2.33 
                 −1.088 
                 11.348 
               
               
                 2.337 
                 −1.097 
                 11.348 
               
               
                 2.338 
                 −1.106 
                 11.348 
               
               
                 2.391 
                 −1.216 
                 12.764 
               
               
                 2.388 
                 −1.223 
                 12.764 
               
               
                 2.382 
                 −1.23 
                 12.764 
               
               
                 2.371 
                 −1.235 
                 12.764 
               
               
                 2.357 
                 −1.235 
                 12.764 
               
               
                 2.338 
                 −1.231 
                 12.764 
               
               
                 2.314 
                 −1.226 
                 12.764 
               
               
                 2.283 
                 −1.219 
                 12.764 
               
               
                 2.247 
                 −1.211 
                 12.764 
               
               
                 2.203 
                 −1.201 
                 12.764 
               
               
                 2.151 
                 −1.19 
                 12.764 
               
               
                 2.091 
                 −1.175 
                 12.764 
               
               
                 2.021 
                 −1.158 
                 12.764 
               
               
                 1.942 
                 −1.139 
                 12.764 
               
               
                 1.855 
                 −1.116 
                 12.764 
               
               
                 1.758 
                 −1.09 
                 12.764 
               
               
                 1.652 
                 −1.06 
                 12.764 
               
               
                 1.542 
                 −1.028 
                 12.764 
               
               
                 1.427 
                 −0.994 
                 12.764 
               
               
                 1.308 
                 −0.958 
                 12.764 
               
               
                 1.185 
                 −0.919 
                 12.764 
               
               
                 1.058 
                 −0.878 
                 12.764 
               
               
                 0.927 
                 −0.834 
                 12.764 
               
               
                 0.792 
                 −0.787 
                 12.764 
               
               
                 0.657 
                 −0.739 
                 12.764 
               
               
                 0.523 
                 −0.69 
                 12.764 
               
               
                 0.389 
                 −0.64 
                 12.764 
               
               
                 0.255 
                 −0.589 
                 12.764 
               
               
                 0.122 
                 −0.536 
                 12.764 
               
               
                 −0.011 
                 −0.482 
                 12.764 
               
               
                 −0.143 
                 −0.427 
                 12.764 
               
               
                 −0.274 
                 −0.37 
                 12.764 
               
               
                 −0.405 
                 −0.312 
                 12.764 
               
               
                 −0.535 
                 −0.251 
                 12.764 
               
               
                 −0.665 
                 −0.189 
                 12.764 
               
               
                 −0.788 
                 −0.127 
                 12.764 
               
               
                 −0.907 
                 −0.065 
                 12.764 
               
               
                 −1.02 
                 −0.003 
                 12.764 
               
               
                 −1.128 
                 0.059 
                 12.764 
               
               
                 −1.231 
                 0.12 
                 12.764 
               
               
                 −1.328 
                 0.181 
                 12.764 
               
               
                 −1.42 
                 0.241 
                 12.764 
               
               
                 −1.507 
                 0.301 
                 12.764 
               
               
                 −1.584 
                 0.358 
                 12.764 
               
               
                 −1.653 
                 0.41 
                 12.764 
               
               
                 −1.712 
                 0.458 
                 12.764 
               
               
                 −1.768 
                 0.504 
                 12.764 
               
               
                 −1.814 
                 0.545 
                 12.764 
               
               
                 −1.849 
                 0.578 
                 12.764 
               
               
                 −1.876 
                 0.605 
                 12.764 
               
               
                 −1.896 
                 0.626 
                 12.764 
               
               
                 −1.908 
                 0.643 
                 12.764 
               
               
                 −1.914 
                 0.654 
                 12.764 
               
               
                 −1.917 
                 0.661 
                 12.764 
               
               
                 −1.917 
                 0.665 
                 12.764 
               
               
                 −1.916 
                 0.667 
                 12.764 
               
               
                 −1.916 
                 0.667 
                 12.764 
               
               
                 −1.915 
                 0.668 
                 12.764 
               
               
                 −1.913 
                 0.669 
                 12.764 
               
               
                 −1.91 
                 0.67 
                 12.764 
               
               
                 −1.902 
                 0.669 
                 12.764 
               
               
                 −1.891 
                 0.665 
                 12.764 
               
               
                 −1.872 
                 0.656 
                 12.764 
               
               
                 −1.847 
                 0.642 
                 12.764 
               
               
                 −1.815 
                 0.622 
                 12.764 
               
               
                 −1.775 
                 0.596 
                 12.764 
               
               
                 −1.723 
                 0.563 
                 12.764 
               
               
                 −1.664 
                 0.524 
                 12.764 
               
               
                 −1.6 
                 0.483 
                 12.764 
               
               
                 −1.528 
                 0.438 
                 12.764 
               
               
                 −1.447 
                 0.388 
                 12.764 
               
               
                 −1.358 
                 0.336 
                 12.764 
               
               
                 −1.263 
                 0.283 
                 12.764 
               
               
                 −1.163 
                 0.229 
                 12.764 
               
               
                 −1.059 
                 0.174 
                 12.764 
               
               
                 −0.949 
                 0.118 
                 12.764 
               
               
                 −0.835 
                 0.062 
                 12.764 
               
               
                 −0.716 
                 0.004 
                 12.764 
               
               
                 −0.591 
                 −0.054 
                 12.764 
               
               
                 −0.463 
                 −0.114 
                 12.764 
               
               
                 −0.333 
                 −0.172 
                 12.764 
               
               
                 −0.204 
                 −0.229 
                 12.764 
               
               
                 −0.074 
                 −0.286 
                 12.764 
               
               
                 0.057 
                 −0.342 
                 12.764 
               
               
                 0.187 
                 −0.397 
                 12.764 
               
               
                 0.318 
                 −0.452 
                 12.764 
               
               
                 0.449 
                 −0.507 
                 12.764 
               
               
                 0.58 
                 −0.561 
                 12.764 
               
               
                 0.711 
                 −0.614 
                 12.764 
               
               
                 0.843 
                 −0.667 
                 12.764 
               
               
                 0.975 
                 −0.719 
                 12.764 
               
               
                 1.103 
                 −0.768 
                 12.764 
               
               
                 1.227 
                 −0.815 
                 12.764 
               
               
                 1.346 
                 −0.859 
                 12.764 
               
               
                 1.462 
                 −0.901 
                 12.764 
               
               
                 1.573 
                 −0.94 
                 12.764 
               
               
                 1.681 
                 −0.977 
                 12.764 
               
               
                 1.784 
                 −1.011 
                 12.764 
               
               
                 1.879 
                 −1.042 
                 12.764 
               
               
                 1.964 
                 −1.068 
                 12.764 
               
               
                 2.041 
                 −1.092 
                 12.764 
               
               
                 2.109 
                 −1.112 
                 12.764 
               
               
                 2.168 
                 −1.129 
                 12.764 
               
               
                 2.218 
                 −1.143 
                 12.764 
               
               
                 2.261 
                 −1.155 
                 12.764 
               
               
                 2.297 
                 −1.165 
                 12.764 
               
               
                 2.327 
                 −1.173 
                 12.764 
               
               
                 2.351 
                 −1.179 
                 12.764 
               
               
                 2.369 
                 −1.184 
                 12.764 
               
               
                 2.382 
                 −1.19 
                 12.764 
               
               
                 2.389 
                 −1.199 
                 12.764 
               
               
                 2.391 
                 −1.209 
                 12.764 
               
               
                 2.24 
                 −1.493 
                 14.181 
               
               
                 2.238 
                 −1.5 
                 14.181 
               
               
                 2.231 
                 −1.508 
                 14.181 
               
               
                 2.22 
                 −1.513 
                 14.181 
               
               
                 2.205 
                 −1.512 
                 14.181 
               
               
                 2.186 
                 −1.508 
                 14.181 
               
               
                 2.16 
                 −1.503 
                 14.181 
               
               
                 2.129 
                 −1.497 
                 14.181 
               
               
                 2.09 
                 −1.488 
                 14.181 
               
               
                 2.044 
                 −1.478 
                 14.181 
               
               
                 1.991 
                 −1.464 
                 14.181 
               
               
                 1.929 
                 −1.447 
                 14.181 
               
               
                 1.857 
                 −1.426 
                 14.181 
               
               
                 1.777 
                 −1.401 
                 14.181 
               
               
                 1.687 
                 −1.37 
                 14.181 
               
               
                 1.59 
                 −1.333 
                 14.181 
               
               
                 1.484 
                 −1.289 
                 14.181 
               
               
                 1.376 
                 −1.241 
                 14.181 
               
               
                 1.265 
                 −1.186 
                 14.181 
               
               
                 1.152 
                 −1.127 
                 14.181 
               
               
                 1.036 
                 −1.062 
                 14.181 
               
               
                 0.917 
                 −0.992 
                 14.181 
               
               
                 0.795 
                 −0.918 
                 14.181 
               
               
                 0.67 
                 −0.839 
                 14.181 
               
               
                 0.546 
                 −0.759 
                 14.181 
               
               
                 0.422 
                 −0.677 
                 14.181 
               
               
                 0.3 
                 −0.595 
                 14.181 
               
               
                 0.177 
                 −0.511 
                 14.181 
               
               
                 0.056 
                 −0.427 
                 14.181 
               
               
                 −0.066 
                 −0.342 
                 14.181 
               
               
                 −0.187 
                 −0.257 
                 14.181 
               
               
                 −0.307 
                 −0.171 
                 14.181 
               
               
                 −0.427 
                 −0.084 
                 14.181 
               
               
                 −0.546 
                 0.004 
                 14.181 
               
               
                 −0.664 
                 0.094 
                 14.181 
               
               
                 −0.777 
                 0.182 
                 14.181 
               
               
                 −0.885 
                 0.268 
                 14.181 
               
               
                 −0.988 
                 0.352 
                 14.181 
               
               
                 −1.086 
                 0.436 
                 14.181 
               
               
                 −1.178 
                 0.517 
                 14.181 
               
               
                 −1.266 
                 0.597 
                 14.181 
               
               
                 −1.349 
                 0.675 
                 14.181 
               
               
                 −1.427 
                 0.75 
                 14.181 
               
               
                 −1.496 
                 0.821 
                 14.181 
               
               
                 −1.558 
                 0.884 
                 14.181 
               
               
                 −1.612 
                 0.942 
                 14.181 
               
               
                 −1.661 
                 0.997 
                 14.181 
               
               
                 −1.703 
                 1.046 
                 14.181 
               
               
                 −1.735 
                 1.084 
                 14.181 
               
               
                 −1.759 
                 1.115 
                 14.181 
               
               
                 −1.776 
                 1.139 
                 14.181 
               
               
                 −1.788 
                 1.158 
                 14.181 
               
               
                 −1.793 
                 1.169 
                 14.181 
               
               
                 −1.795 
                 1.177 
                 14.181 
               
               
                 −1.795 
                 1.181 
                 14.181 
               
               
                 −1.794 
                 1.183 
                 14.181 
               
               
                 −1.793 
                 1.183 
                 14.181 
               
               
                 −1.793 
                 1.184 
                 14.181 
               
               
                 −1.791 
                 1.185 
                 14.181 
               
               
                 −1.787 
                 1.185 
                 14.181 
               
               
                 −1.779 
                 1.182 
                 14.181 
               
               
                 −1.768 
                 1.176 
                 14.181 
               
               
                 −1.75 
                 1.164 
                 14.181 
               
               
                 −1.727 
                 1.146 
                 14.181 
               
               
                 −1.698 
                 1.12 
                 14.181 
               
               
                 −1.661 
                 1.088 
                 14.181 
               
               
                 −1.614 
                 1.045 
                 14.181 
               
               
                 −1.56 
                 0.996 
                 14.181 
               
               
                 −1.502 
                 0.944 
                 14.181 
               
               
                 −1.436 
                 0.885 
                 14.181 
               
               
                 −1.363 
                 0.821 
                 14.181 
               
               
                 −1.281 
                 0.751 
                 14.181 
               
               
                 −1.195 
                 0.679 
                 14.181 
               
               
                 −1.105 
                 0.605 
                 14.181 
               
               
                 −1.009 
                 0.529 
                 14.181 
               
               
                 −0.909 
                 0.451 
                 14.181 
               
               
                 −0.805 
                 0.371 
                 14.181 
               
               
                 −0.695 
                 0.289 
                 14.181 
               
               
                 −0.581 
                 0.205 
                 14.181 
               
               
                 −0.463 
                 0.118 
                 14.181 
               
               
                 −0.344 
                 0.033 
                 14.181 
               
               
                 −0.225 
                 −0.052 
                 14.181 
               
               
                 −0.106 
                 −0.137 
                 14.181 
               
               
                 0.014 
                 −0.222 
                 14.181 
               
               
                 0.133 
                 −0.307 
                 14.181 
               
               
                 0.252 
                 −0.392 
                 14.181 
               
               
                 0.372 
                 −0.477 
                 14.181 
               
               
                 0.492 
                 −0.561 
                 14.181 
               
               
                 0.612 
                 −0.645 
                 14.181 
               
               
                 0.732 
                 −0.728 
                 14.181 
               
               
                 0.853 
                 −0.81 
                 14.181 
               
               
                 0.972 
                 −0.888 
                 14.181 
               
               
                 1.087 
                 −0.962 
                 14.181 
               
               
                 1.199 
                 −1.031 
                 14.181 
               
               
                 1.309 
                 −1.095 
                 14.181 
               
               
                 1.415 
                 −1.153 
                 14.181 
               
               
                 1.52 
                 −1.207 
                 14.181 
               
               
                 1.622 
                 −1.254 
                 14.181 
               
               
                 1.716 
                 −1.295 
                 14.181 
               
               
                 1.802 
                 −1.33 
                 14.181 
               
               
                 1.88 
                 −1.359 
                 14.181 
               
               
                 1.949 
                 −1.383 
                 14.181 
               
               
                 2.009 
                 −1.403 
                 14.181 
               
               
                 2.061 
                 −1.419 
                 14.181 
               
               
                 2.105 
                 −1.432 
                 14.181 
               
               
                 2.142 
                 −1.442 
                 14.181 
               
               
                 2.173 
                 −1.45 
                 14.181 
               
               
                 2.198 
                 −1.457 
                 14.181 
               
               
                 2.217 
                 −1.462 
                 14.181 
               
               
                 2.23 
                 −1.467 
                 14.181 
               
               
                 2.238 
                 −1.476 
                 14.181 
               
               
                 2.241 
                 −1.486 
                 14.181 
               
               
                   
               
             
          
         
       
     
     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.