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 
       [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 eighteen 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 3 rd  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. 
         [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 thickness, 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 3 rd  stage airfoil rotor blade. 
         [0000]    
       
         
               
               
               
             
               
               
               
             
           
               
                 TABLE 1 
               
               
                   
               
               
                 X-LOC 
                 Y-LOC 
                 Z-LOC 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 2.668 
                 0.255 
                 0.122 
               
               
                 2.668 
                 0.247 
                 0.122 
               
               
                 2.666 
                 0.236 
                 0.122 
               
               
                 2.659 
                 0.225 
                 0.122 
               
               
                 2.647 
                 0.215 
                 0.122 
               
               
                 2.626 
                 0.209 
                 0.122 
               
               
                 2.599 
                 0.202 
                 0.122 
               
               
                 2.565 
                 0.193 
                 0.122 
               
               
                 2.524 
                 0.182 
                 0.122 
               
               
                 2.476 
                 0.169 
                 0.122 
               
               
                 2.419 
                 0.154 
                 0.122 
               
               
                 2.351 
                 0.136 
                 0.122 
               
               
                 2.273 
                 0.116 
                 0.122 
               
               
                 2.185 
                 0.093 
                 0.122 
               
               
                 2.086 
                 0.067 
                 0.122 
               
               
                 1.977 
                 0.039 
                 0.122 
               
               
                 1.857 
                 0.007 
                 0.122 
               
               
                 1.733 
                 −0.025 
                 0.122 
               
               
                 1.603 
                 −0.059 
                 0.122 
               
               
                 1.467 
                 −0.094 
                 0.122 
               
               
                 1.327 
                 −0.13 
                 0.122 
               
               
                 1.181 
                 −0.166 
                 0.122 
               
               
                 1.03 
                 −0.201 
                 0.122 
               
               
                 0.873 
                 −0.236 
                 0.122 
               
               
                 0.716 
                 −0.267 
                 0.122 
               
               
                 0.558 
                 −0.296 
                 0.122 
               
               
                 0.399 
                 −0.32 
                 0.122 
               
               
                 0.24 
                 −0.341 
                 0.122 
               
               
                 0.081 
                 −0.356 
                 0.122 
               
               
                 −0.08 
                 −0.367 
                 0.122 
               
               
                 −0.241 
                 −0.373 
                 0.122 
               
               
                 −0.403 
                 −0.374 
                 0.122 
               
               
                 −0.565 
                 −0.367 
                 0.122 
               
               
                 −0.726 
                 −0.355 
                 0.122 
               
               
                 −0.887 
                 −0.336 
                 0.122 
               
               
                 −1.042 
                 −0.311 
                 0.122 
               
               
                 −1.191 
                 −0.281 
                 0.122 
               
               
                 −1.333 
                 −0.247 
                 0.122 
               
               
                 −1.467 
                 −0.21 
                 0.122 
               
               
                 −1.595 
                 −0.169 
                 0.122 
               
               
                 −1.716 
                 −0.125 
                 0.122 
               
               
                 −1.831 
                 −0.08 
                 0.122 
               
               
                 −1.939 
                 −0.031 
                 0.122 
               
               
                 −2.036 
                 0.016 
                 0.122 
               
               
                 −2.122 
                 0.062 
                 0.122 
               
               
                 −2.198 
                 0.105 
                 0.122 
               
               
                 −2.267 
                 0.148 
                 0.122 
               
               
                 −2.325 
                 0.189 
                 0.122 
               
               
                 −2.368 
                 0.221 
                 0.122 
               
               
                 −2.401 
                 0.25 
                 0.122 
               
               
                 −2.424 
                 0.273 
                 0.122 
               
               
                 −2.439 
                 0.292 
                 0.122 
               
               
                 −2.445 
                 0.305 
                 0.122 
               
               
                 −2.446 
                 0.313 
                 0.122 
               
               
                 −2.446 
                 0.317 
                 0.122 
               
               
                 −2.445 
                 0.319 
                 0.122 
               
               
                 −2.445 
                 0.321 
                 0.122 
               
               
                 −2.444 
                 0.321 
                 0.122 
               
               
                 −2.443 
                 0.323 
                 0.122 
               
               
                 −2.441 
                 0.326 
                 0.122 
               
               
                 −2.434 
                 0.331 
                 0.122 
               
               
                 −2.421 
                 0.335 
                 0.122 
               
               
                 −2.398 
                 0.338 
                 0.122 
               
               
                 −2.368 
                 0.338 
                 0.122 
               
               
                 −2.327 
                 0.336 
                 0.122 
               
               
                 −2.275 
                 0.331 
                 0.122 
               
               
                 −2.209 
                 0.323 
                 0.122 
               
               
                 −2.133 
                 0.313 
                 0.122 
               
               
                 −2.051 
                 0.302 
                 0.122 
               
               
                 −1.959 
                 0.291 
                 0.122 
               
               
                 −1.857 
                 0.279 
                 0.122 
               
               
                 −1.745 
                 0.267 
                 0.122 
               
               
                 −1.627 
                 0.257 
                 0.122 
               
               
                 −1.504 
                 0.247 
                 0.122 
               
               
                 −1.376 
                 0.239 
                 0.122 
               
               
                 −1.243 
                 0.232 
                 0.122 
               
               
                 −1.104 
                 0.227 
                 0.122 
               
               
                 −0.96 
                 0.225 
                 0.122 
               
               
                 −0.811 
                 0.224 
                 0.122 
               
               
                 −0.657 
                 0.225 
                 0.122 
               
               
                 −0.503 
                 0.226 
                 0.122 
               
               
                 −0.349 
                 0.229 
                 0.122 
               
               
                 −0.195 
                 0.232 
                 0.122 
               
               
                 −0.04 
                 0.235 
                 0.122 
               
               
                 0.114 
                 0.238 
                 0.122 
               
               
                 0.268 
                 0.241 
                 0.122 
               
               
                 0.422 
                 0.244 
                 0.122 
               
               
                 0.576 
                 0.246 
                 0.122 
               
               
                 0.73 
                 0.248 
                 0.122 
               
               
                 0.885 
                 0.249 
                 0.122 
               
               
                 1.039 
                 0.25 
                 0.122 
               
               
                 1.188 
                 0.251 
                 0.122 
               
               
                 1.332 
                 0.252 
                 0.122 
               
               
                 1.47 
                 0.253 
                 0.122 
               
               
                 1.604 
                 0.255 
                 0.122 
               
               
                 1.733 
                 0.257 
                 0.122 
               
               
                 1.856 
                 0.26 
                 0.122 
               
               
                 1.974 
                 0.263 
                 0.122 
               
               
                 2.082 
                 0.267 
                 0.122 
               
               
                 2.18 
                 0.27 
                 0.122 
               
               
                 2.267 
                 0.273 
                 0.122 
               
               
                 2.344 
                 0.276 
                 0.122 
               
               
                 2.411 
                 0.279 
                 0.122 
               
               
                 2.467 
                 0.281 
                 0.122 
               
               
                 2.515 
                 0.282 
                 0.122 
               
               
                 2.556 
                 0.284 
                 0.122 
               
               
                 2.589 
                 0.285 
                 0.122 
               
               
                 2.616 
                 0.286 
                 0.122 
               
               
                 2.637 
                 0.286 
                 0.122 
               
               
                 2.651 
                 0.28 
                 0.122 
               
               
                 2.661 
                 0.271 
                 0.122 
               
               
                 2.666 
                 0.262 
                 0.122 
               
               
                 2.634 
                 0.252 
                 1.755 
               
               
                 2.634 
                 0.244 
                 1.755 
               
               
                 2.632 
                 0.234 
                 1.755 
               
               
                 2.625 
                 0.223 
                 1.755 
               
               
                 2.612 
                 0.214 
                 1.755 
               
               
                 2.591 
                 0.209 
                 1.755 
               
               
                 2.565 
                 0.203 
                 1.755 
               
               
                 2.531 
                 0.194 
                 1.755 
               
               
                 2.491 
                 0.185 
                 1.755 
               
               
                 2.443 
                 0.173 
                 1.755 
               
               
                 2.387 
                 0.159 
                 1.755 
               
               
                 2.32 
                 0.143 
                 1.755 
               
               
                 2.243 
                 0.124 
                 1.755 
               
               
                 2.156 
                 0.104 
                 1.755 
               
               
                 2.058 
                 0.081 
                 1.755 
               
               
                 1.951 
                 0.055 
                 1.755 
               
               
                 1.833 
                 0.028 
                 1.755 
               
               
                 1.71 
                 −0.001 
                 1.755 
               
               
                 1.581 
                 −0.031 
                 1.755 
               
               
                 1.448 
                 −0.062 
                 1.755 
               
               
                 1.309 
                 −0.093 
                 1.755 
               
               
                 1.165 
                 −0.124 
                 1.755 
               
               
                 1.016 
                 −0.154 
                 1.755 
               
               
                 0.861 
                 −0.183 
                 1.755 
               
               
                 0.706 
                 −0.21 
                 1.755 
               
               
                 0.55 
                 −0.233 
                 1.755 
               
               
                 0.395 
                 −0.253 
                 1.755 
               
               
                 0.238 
                 −0.269 
                 1.755 
               
               
                 0.081 
                 −0.28 
                 1.755 
               
               
                 −0.076 
                 −0.288 
                 1.755 
               
               
                 −0.234 
                 −0.291 
                 1.755 
               
               
                 −0.392 
                 −0.29 
                 1.755 
               
               
                 −0.551 
                 −0.283 
                 1.755 
               
               
                 −0.71 
                 −0.271 
                 1.755 
               
               
                 −0.869 
                 −0.254 
                 1.755 
               
               
                 −1.022 
                 −0.233 
                 1.755 
               
               
                 −1.169 
                 −0.209 
                 1.755 
               
               
                 −1.311 
                 −0.182 
                 1.755 
               
               
                 −1.446 
                 −0.152 
                 1.755 
               
               
                 −1.575 
                 −0.12 
                 1.755 
               
               
                 −1.698 
                 −0.085 
                 1.755 
               
               
                 −1.815 
                 −0.048 
                 1.755 
               
               
                 −1.926 
                 −0.009 
                 1.755 
               
               
                 −2.025 
                 0.029 
                 1.755 
               
               
                 −2.114 
                 0.066 
                 1.755 
               
               
                 −2.192 
                 0.101 
                 1.755 
               
               
                 −2.264 
                 0.136 
                 1.755 
               
               
                 −2.325 
                 0.169 
                 1.755 
               
               
                 −2.37 
                 0.197 
                 1.755 
               
               
                 −2.406 
                 0.22 
                 1.755 
               
               
                 −2.431 
                 0.24 
                 1.755 
               
               
                 −2.447 
                 0.258 
                 1.755 
               
               
                 −2.454 
                 0.269 
                 1.755 
               
               
                 −2.457 
                 0.277 
                 1.755 
               
               
                 −2.457 
                 0.281 
                 1.755 
               
               
                 −2.457 
                 0.284 
                 1.755 
               
               
                 −2.456 
                 0.285 
                 1.755 
               
               
                 −2.456 
                 0.286 
                 1.755 
               
               
                 −2.455 
                 0.288 
                 1.755 
               
               
                 −2.453 
                 0.291 
                 1.755 
               
               
                 −2.447 
                 0.297 
                 1.755 
               
               
                 −2.435 
                 0.302 
                 1.755 
               
               
                 −2.413 
                 0.308 
                 1.755 
               
               
                 −2.383 
                 0.313 
                 1.755 
               
               
                 −2.342 
                 0.316 
                 1.755 
               
               
                 −2.291 
                 0.317 
                 1.755 
               
               
                 −2.224 
                 0.318 
                 1.755 
               
               
                 −2.148 
                 0.317 
                 1.755 
               
               
                 −2.066 
                 0.318 
                 1.755 
               
               
                 −1.974 
                 0.313 
                 1.755 
               
               
                 −1.872 
                 0.31 
                 1.755 
               
               
                 −1.759 
                 0.306 
                 1.755 
               
               
                 −1.642 
                 0.303 
                 1.755 
               
               
                 −1.519 
                 0.301 
                 1.755 
               
               
                 −1.391 
                 0.299 
                 1.755 
               
               
                 −1.258 
                 0.298 
                 1.755 
               
               
                 −1.12 
                 0.298 
                 1.755 
               
               
                 −0.977 
                 0.298 
                 1.755 
               
               
                 −0.829 
                 0.298 
                 1.755 
               
               
                 −0.675 
                 0.299 
                 1.755 
               
               
                 −0.522 
                 0.299 
                 1.755 
               
               
                 −0.368 
                 0.299 
                 1.755 
               
               
                 −0.215 
                 0.299 
                 1.755 
               
               
                 −0.061 
                 0.299 
                 1.755 
               
               
                 0.092 
                 0.298 
                 1.755 
               
               
                 0.245 
                 0.297 
                 1.755 
               
               
                 0.399 
                 0.295 
                 1.755 
               
               
                 0.552 
                 0.292 
                 1.755 
               
               
                 0.706 
                 0.29 
                 1.755 
               
               
                 0.859 
                 0.287 
                 1.755 
               
               
                 1.012 
                 0.283 
                 1.755 
               
               
                 1.161 
                 0.28 
                 1.755 
               
               
                 1.304 
                 0.278 
                 1.755 
               
               
                 1.442 
                 0.276 
                 1.755 
               
               
                 1.575 
                 0.274 
                 1.755 
               
               
                 1.703 
                 0.274 
                 1.755 
               
               
                 1.826 
                 0.274 
                 1.755 
               
               
                 1.943 
                 0.274 
                 1.755 
               
               
                 2.051 
                 0.275 
                 1.755 
               
               
                 2.148 
                 0.276 
                 1.755 
               
               
                 2.235 
                 0.278 
                 1.755 
               
               
                 2.311 
                 0.279 
                 1.755 
               
               
                 2.378 
                 0.279 
                 1.755 
               
               
                 2.434 
                 0.28 
                 1.755 
               
               
                 2.482 
                 0.281 
                 1.755 
               
               
                 2.523 
                 0.282 
                 1.755 
               
               
                 2.556 
                 0.282 
                 1.755 
               
               
                 2.582 
                 0.283 
                 1.755 
               
               
                 2.603 
                 0.283 
                 1.755 
               
               
                 2.617 
                 0.278 
                 1.755 
               
               
                 2.627 
                 0.269 
                 1.755 
               
               
                 2.632 
                 0.26 
                 1.755 
               
               
                 2.616 
                 0.175 
                 3.389 
               
               
                 2.616 
                 0.168 
                 3.389 
               
               
                 2.613 
                 0.158 
                 3.389 
               
               
                 2.605 
                 0.147 
                 3.389 
               
               
                 2.591 
                 0.14 
                 3.389 
               
               
                 2.57 
                 0.135 
                 3.389 
               
               
                 2.544 
                 0.13 
                 3.389 
               
               
                 2.51 
                 0.123 
                 3.389 
               
               
                 2.469 
                 0.114 
                 3.389 
               
               
                 2.421 
                 0.104 
                 3.389 
               
               
                 2.364 
                 0.092 
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                 −1.69 
                 0.319 
                 13.19 
               
               
                 −1.791 
                 0.381 
                 13.19 
               
               
                 −1.883 
                 0.439 
                 13.19 
               
               
                 −1.965 
                 0.492 
                 13.19 
               
               
                 −2.037 
                 0.54 
                 13.19 
               
               
                 −2.104 
                 0.586 
                 13.19 
               
               
                 −2.161 
                 0.627 
                 13.19 
               
               
                 −2.204 
                 0.66 
                 13.19 
               
               
                 −2.237 
                 0.688 
                 13.19 
               
               
                 −2.261 
                 0.71 
                 13.19 
               
               
                 −2.277 
                 0.728 
                 13.19 
               
               
                 −2.284 
                 0.74 
                 13.19 
               
               
                 −2.288 
                 0.748 
                 13.19 
               
               
                 −2.288 
                 0.752 
                 13.19 
               
               
                 −2.287 
                 0.754 
                 13.19 
               
               
                 −2.287 
                 0.755 
                 13.19 
               
               
                 −2.286 
                 0.756 
                 13.19 
               
               
                 −2.284 
                 0.757 
                 13.19 
               
               
                 −2.28 
                 0.759 
                 13.19 
               
               
                 −2.272 
                 0.76 
                 13.19 
               
               
                 −2.258 
                 0.758 
                 13.19 
               
               
                 −2.235 
                 0.752 
                 13.19 
               
               
                 −2.204 
                 0.741 
                 13.19 
               
               
                 −2.165 
                 0.724 
                 13.19 
               
               
                 −2.116 
                 0.702 
                 13.19 
               
               
                 −2.053 
                 0.672 
                 13.19 
               
               
                 −1.98 
                 0.636 
                 13.19 
               
               
                 −1.902 
                 0.599 
                 13.19 
               
               
                 −1.815 
                 0.557 
                 13.19 
               
               
                 −1.718 
                 0.51 
                 13.19 
               
               
                 −1.611 
                 0.459 
                 13.19 
               
               
                 −1.499 
                 0.406 
                 13.19 
               
               
                 −1.383 
                 0.35 
                 13.19 
               
               
                 −1.261 
                 0.292 
                 13.19 
               
               
                 −1.135 
                 0.232 
                 13.19 
               
               
                 −1.003 
                 0.17 
                 13.19 
               
               
                 −0.867 
                 0.105 
                 13.19 
               
               
                 −0.726 
                 0.037 
                 13.19 
               
               
                 −0.581 
                 −0.032 
                 13.19 
               
               
                 −0.435 
                 −0.103 
                 13.19 
               
               
                 −0.29 
                 −0.174 
                 13.19 
               
               
                 −0.145 
                 −0.245 
                 13.19 
               
               
                 0 
                 −0.317 
                 13.19 
               
               
                 0.145 
                 −0.388 
                 13.19 
               
               
                 0.289 
                 −0.46 
                 13.19 
               
               
                 0.434 
                 −0.533 
                 13.19 
               
               
                 0.579 
                 −0.605 
                 13.19 
               
               
                 0.723 
                 −0.677 
                 13.19 
               
               
                 0.868 
                 −0.749 
                 13.19 
               
               
                 1.012 
                 −0.821 
                 13.19 
               
               
                 1.153 
                 −0.89 
                 13.19 
               
               
                 1.289 
                 −0.955 
                 13.19 
               
               
                 1.42 
                 −1.018 
                 13.19 
               
               
                 1.546 
                 −1.078 
                 13.19 
               
               
                 1.669 
                 −1.134 
                 13.19 
               
               
                 1.786 
                 −1.188 
                 13.19 
               
               
                 1.899 
                 −1.239 
                 13.19 
               
               
                 2.002 
                 −1.285 
                 13.19 
               
               
                 2.096 
                 −1.327 
                 13.19 
               
               
                 2.179 
                 −1.364 
                 13.19 
               
               
                 2.253 
                 −1.397 
                 13.19 
               
               
                 2.318 
                 −1.425 
                 13.19 
               
               
                 2.372 
                 −1.449 
                 13.19 
               
               
                 2.418 
                 −1.469 
                 13.19 
               
               
                 2.457 
                 −1.486 
                 13.19 
               
               
                 2.49 
                 −1.499 
                 13.19 
               
               
                 2.515 
                 −1.51 
                 13.19 
               
               
                 2.535 
                 −1.519 
                 13.19 
               
               
                 2.55 
                 −1.525 
                 13.19 
               
               
                 2.559 
                 −1.535 
                 13.19 
               
               
                 2.561 
                 −1.546 
                 13.19 
               
               
                 2.512 
                 −1.715 
                 14.823 
               
               
                 2.508 
                 −1.722 
                 14.823 
               
               
                 2.498 
                 −1.728 
                 14.823 
               
               
                 2.485 
                 −1.728 
                 14.823 
               
               
                 2.47 
                 −1.722 
                 14.823 
               
               
                 2.45 
                 −1.714 
                 14.823 
               
               
                 2.424 
                 −1.704 
                 14.823 
               
               
                 2.391 
                 −1.69 
                 14.823 
               
               
                 2.351 
                 −1.674 
                 14.823 
               
               
                 2.304 
                 −1.655 
                 14.823 
               
               
                 2.249 
                 −1.632 
                 14.823 
               
               
                 2.184 
                 −1.604 
                 14.823 
               
               
                 2.109 
                 −1.573 
                 14.823 
               
               
                 2.024 
                 −1.537 
                 14.823 
               
               
                 1.93 
                 −1.496 
                 14.823 
               
               
                 1.825 
                 −1.45 
                 14.823 
               
               
                 1.711 
                 −1.4 
                 14.823 
               
               
                 1.592 
                 −1.347 
                 14.823 
               
               
                 1.469 
                 −1.291 
                 14.823 
               
               
                 1.34 
                 −1.232 
                 14.823 
               
               
                 1.208 
                 −1.171 
                 14.823 
               
               
                 1.07 
                 −1.106 
                 14.823 
               
               
                 0.928 
                 −1.039 
                 14.823 
               
               
                 0.782 
                 −0.968 
                 14.823 
               
               
                 0.636 
                 −0.896 
                 14.823 
               
               
                 0.49 
                 −0.824 
                 14.823 
               
               
                 0.344 
                 −0.752 
                 14.823 
               
               
                 0.199 
                 −0.679 
                 14.823 
               
               
                 0.054 
                 −0.605 
                 14.823 
               
               
                 −0.091 
                 −0.531 
                 14.823 
               
               
                 −0.235 
                 −0.456 
                 14.823 
               
               
                 −0.38 
                 −0.381 
                 14.823 
               
               
                 −0.524 
                 −0.305 
                 14.823 
               
               
                 −0.667 
                 −0.229 
                 14.823 
               
               
                 −0.811 
                 −0.152 
                 14.823 
               
               
                 −0.948 
                 −0.076 
                 14.823 
               
               
                 −1.081 
                 −0.002 
                 14.823 
               
               
                 −1.208 
                 0.071 
                 14.823 
               
               
                 −1.33 
                 0.141 
                 14.823 
               
               
                 −1.447 
                 0.21 
                 14.823 
               
               
                 −1.559 
                 0.277 
                 14.823 
               
               
                 −1.665 
                 0.342 
                 14.823 
               
               
                 −1.766 
                 0.406 
                 14.823 
               
               
                 −1.858 
                 0.464 
                 14.823 
               
               
                 −1.939 
                 0.518 
                 14.823 
               
               
                 −2.011 
                 0.566 
                 14.823 
               
               
                 −2.078 
                 0.612 
                 14.823 
               
               
                 −2.136 
                 0.653 
                 14.823 
               
               
                 −2.179 
                 0.685 
                 14.823 
               
               
                 −2.213 
                 0.713 
                 14.823 
               
               
                 −2.237 
                 0.735 
                 14.823 
               
               
                 −2.253 
                 0.753 
                 14.823 
               
               
                 −2.26 
                 0.764 
                 14.823 
               
               
                 −2.264 
                 0.772 
                 14.823 
               
               
                 −2.264 
                 0.777 
                 14.823 
               
               
                 −2.264 
                 0.779 
                 14.823 
               
               
                 −2.263 
                 0.78 
                 14.823 
               
               
                 −2.262 
                 0.781 
                 14.823 
               
               
                 −2.261 
                 0.782 
                 14.823 
               
               
                 −2.257 
                 0.783 
                 14.823 
               
               
                 −2.248 
                 0.784 
                 14.823 
               
               
                 −2.234 
                 0.781 
                 14.823 
               
               
                 −2.211 
                 0.774 
                 14.823 
               
               
                 −2.181 
                 0.762 
                 14.823 
               
               
                 −2.142 
                 0.744 
                 14.823 
               
               
                 −2.094 
                 0.719 
                 14.823 
               
               
                 −2.032 
                 0.686 
                 14.823 
               
               
                 −1.96 
                 0.648 
                 14.823 
               
               
                 −1.884 
                 0.608 
                 14.823 
               
               
                 −1.798 
                 0.562 
                 14.823 
               
               
                 −1.702 
                 0.512 
                 14.823 
               
               
                 −1.597 
                 0.456 
                 14.823 
               
               
                 −1.487 
                 0.398 
                 14.823 
               
               
                 −1.372 
                 0.338 
                 14.823 
               
               
                 −1.252 
                 0.276 
                 14.823 
               
               
                 −1.128 
                 0.21 
                 14.823 
               
               
                 −0.999 
                 0.143 
                 14.823 
               
               
                 −0.865 
                 0.072 
                 14.823 
               
               
                 −0.726 
                 −0.001 
                 14.823 
               
               
                 −0.583 
                 −0.077 
                 14.823 
               
               
                 −0.44 
                 −0.154 
                 14.823 
               
               
                 −0.297 
                 −0.23 
                 14.823 
               
               
                 −0.154 
                 −0.307 
                 14.823 
               
               
                 −0.011 
                 −0.384 
                 14.823 
               
               
                 0.131 
                 −0.461 
                 14.823 
               
               
                 0.274 
                 −0.539 
                 14.823 
               
               
                 0.416 
                 −0.616 
                 14.823 
               
               
                 0.558 
                 −0.694 
                 14.823 
               
               
                 0.701 
                 −0.771 
                 14.823 
               
               
                 0.843 
                 −0.849 
                 14.823 
               
               
                 0.986 
                 −0.926 
                 14.823 
               
               
                 1.124 
                 −1 
                 14.823 
               
               
                 1.258 
                 −1.071 
                 14.823 
               
               
                 1.387 
                 −1.138 
                 14.823 
               
               
                 1.512 
                 −1.203 
                 14.823 
               
               
                 1.632 
                 −1.264 
                 14.823 
               
               
                 1.748 
                 −1.323 
                 14.823 
               
               
                 1.86 
                 −1.378 
                 14.823 
               
               
                 1.961 
                 −1.428 
                 14.823 
               
               
                 2.054 
                 −1.473 
                 14.823 
               
               
                 2.136 
                 −1.513 
                 14.823 
               
               
                 2.209 
                 −1.549 
                 14.823 
               
               
                 2.273 
                 −1.579 
                 14.823 
               
               
                 2.327 
                 −1.604 
                 14.823 
               
               
                 2.373 
                 −1.626 
                 14.823 
               
               
                 2.411 
                 −1.644 
                 14.823 
               
               
                 2.443 
                 −1.659 
                 14.823 
               
               
                 2.469 
                 −1.67 
                 14.823 
               
               
                 2.488 
                 −1.679 
                 14.823 
               
               
                 2.503 
                 −1.686 
                 14.823 
               
               
                 2.512 
                 −1.697 
                 14.823 
               
               
                 2.514 
                 −1.707 
                 14.823 
               
               
                 2.328 
                 −1.846 
                 16.457 
               
               
                 2.324 
                 −1.853 
                 16.457 
               
               
                 2.315 
                 −1.86 
                 16.457 
               
               
                 2.302 
                 −1.861 
                 16.457 
               
               
                 2.286 
                 −1.855 
                 16.457 
               
               
                 2.266 
                 −1.848 
                 16.457 
               
               
                 2.239 
                 −1.838 
                 16.457 
               
               
                 2.206 
                 −1.825 
                 16.457 
               
               
                 2.166 
                 −1.81 
                 16.457 
               
               
                 2.119 
                 −1.791 
                 16.457 
               
               
                 2.064 
                 −1.768 
                 16.457 
               
               
                 1.999 
                 −1.741 
                 16.457 
               
               
                 1.924 
                 −1.708 
                 16.457 
               
               
                 1.84 
                 −1.67 
                 16.457 
               
               
                 1.747 
                 −1.626 
                 16.457 
               
               
                 1.644 
                 −1.576 
                 16.457 
               
               
                 1.533 
                 −1.519 
                 16.457 
               
               
                 1.418 
                 −1.459 
                 16.457 
               
               
                 1.299 
                 −1.394 
                 16.457 
               
               
                 1.176 
                 −1.326 
                 16.457 
               
               
                 1.049 
                 −1.253 
                 16.457 
               
               
                 0.918 
                 −1.177 
                 16.457 
               
               
                 0.783 
                 −1.097 
                 16.457 
               
               
                 0.644 
                 −1.013 
                 16.457 
               
               
                 0.505 
                 −0.928 
                 16.457 
               
               
                 0.367 
                 −0.842 
                 16.457 
               
               
                 0.23 
                 −0.755 
                 16.457 
               
               
                 0.093 
                 −0.667 
                 16.457 
               
               
                 −0.044 
                 −0.579 
                 16.457 
               
               
                 −0.18 
                 −0.49 
                 16.457 
               
               
                 −0.316 
                 −0.401 
                 16.457 
               
               
                 −0.451 
                 −0.311 
                 16.457 
               
               
                 −0.586 
                 −0.221 
                 16.457 
               
               
                 −0.721 
                 −0.13 
                 16.457 
               
               
                 −0.855 
                 −0.038 
                 16.457 
               
               
                 −0.984 
                 0.052 
                 16.457 
               
               
                 −1.108 
                 0.14 
                 16.457 
               
               
                 −1.226 
                 0.227 
                 16.457 
               
               
                 −1.339 
                 0.311 
                 16.457 
               
               
                 −1.447 
                 0.393 
                 16.457 
               
               
                 −1.549 
                 0.473 
                 16.457 
               
               
                 −1.646 
                 0.551 
                 16.457 
               
               
                 −1.738 
                 0.627 
                 16.457 
               
               
                 −1.821 
                 0.698 
                 16.457 
               
               
                 −1.893 
                 0.762 
                 16.457 
               
               
                 −1.957 
                 0.821 
                 16.457 
               
               
                 −2.016 
                 0.877 
                 16.457 
               
               
                 −2.067 
                 0.926 
                 16.457 
               
               
                 −2.104 
                 0.965 
                 16.457 
               
               
                 −2.133 
                 0.998 
                 16.457 
               
               
                 −2.153 
                 1.023 
                 16.457 
               
               
                 −2.166 
                 1.044 
                 16.457 
               
               
                 −2.172 
                 1.056 
                 16.457 
               
               
                 −2.174 
                 1.065 
                 16.457 
               
               
                 −2.174 
                 1.069 
                 16.457 
               
               
                 −2.173 
                 1.071 
                 16.457 
               
               
                 −2.172 
                 1.072 
                 16.457 
               
               
                 −2.171 
                 1.073 
                 16.457 
               
               
                 −2.169 
                 1.074 
                 16.457 
               
               
                 −2.165 
                 1.074 
                 16.457 
               
               
                 −2.157 
                 1.073 
                 16.457 
               
               
                 −2.144 
                 1.069 
                 16.457 
               
               
                 −2.122 
                 1.057 
                 16.457 
               
               
                 −2.095 
                 1.04 
                 16.457 
               
               
                 −2.06 
                 1.015 
                 16.457 
               
               
                 −2.017 
                 0.983 
                 16.457 
               
               
                 −1.962 
                 0.939 
                 16.457 
               
               
                 −1.898 
                 0.89 
                 16.457 
               
               
                 −1.83 
                 0.837 
                 16.457 
               
               
                 −1.752 
                 0.779 
                 16.457 
               
               
                 −1.665 
                 0.715 
                 16.457 
               
               
                 −1.569 
                 0.646 
                 16.457 
               
               
                 −1.468 
                 0.575 
                 16.457 
               
               
                 −1.362 
                 0.501 
                 16.457 
               
               
                 −1.251 
                 0.424 
                 16.457 
               
               
                 −1.136 
                 0.346 
                 16.457 
               
               
                 −1.015 
                 0.264 
                 16.457 
               
               
                 −0.89 
                 0.179 
                 16.457 
               
               
                 −0.761 
                 0.092 
                 16.457 
               
               
                 −0.627 
                 0.002 
                 16.457 
               
               
                 −0.494 
                 −0.089 
                 16.457 
               
               
                 −0.36 
                 −0.18 
                 16.457 
               
               
                 −0.226 
                 −0.27 
                 16.457 
               
               
                 −0.093 
                 −0.361 
                 16.457 
               
               
                 0.041 
                 −0.452 
                 16.457 
               
               
                 0.175 
                 −0.542 
                 16.457 
               
               
                 0.309 
                 −0.633 
                 16.457 
               
               
                 0.443 
                 −0.723 
                 16.457 
               
               
                 0.577 
                 −0.813 
                 16.457 
               
               
                 0.711 
                 −0.903 
                 16.457 
               
               
                 0.846 
                 −0.992 
                 16.457 
               
               
                 0.977 
                 −1.077 
                 16.457 
               
               
                 1.104 
                 −1.158 
                 16.457 
               
               
                 1.227 
                 −1.236 
                 16.457 
               
               
                 1.346 
                 −1.309 
                 16.457 
               
               
                 1.461 
                 −1.378 
                 16.457 
               
               
                 1.573 
                 −1.443 
                 16.457 
               
               
                 1.681 
                 −1.504 
                 16.457 
               
               
                 1.78 
                 −1.559 
                 16.457 
               
               
                 1.87 
                 −1.606 
                 16.457 
               
               
                 1.952 
                 −1.648 
                 16.457 
               
               
                 2.024 
                 −1.684 
                 16.457 
               
               
                 2.087 
                 −1.714 
                 16.457 
               
               
                 2.141 
                 −1.74 
                 16.457 
               
               
                 2.187 
                 −1.761 
                 16.457 
               
               
                 2.226 
                 −1.778 
                 16.457 
               
               
                 2.258 
                 −1.792 
                 16.457 
               
               
                 2.284 
                 −1.803 
                 16.457 
               
               
                 2.303 
                 −1.812 
                 16.457 
               
               
                 2.318 
                 −1.818 
                 16.457 
               
               
                 2.327 
                 −1.828 
                 16.457 
               
               
                 2.33 
                 −1.838 
                 16.457 
               
               
                   
               
             
          
         
       
     
         [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.