Page 141 - Air and Gas Drilling Manual
P. 141

1
                                                  
                                              .
                                            161 769 3
                                      r =
                                                     = 2 393
                                                  
                                       s
                                            11 769
                                              .
                               The specific heat ratio for air is  .  Chapter 4: Compressors    4-27
                                      k = 14
                                           .
                               The clearance volume ratio for this compressor is
                                      c = 006
                                           .
                               With the above values, Equation 4-38 becomes
                                                            1   
                                      ε  = 096 1 − 006   (2393 .  −1  
                                               
                                            .
                                                         .
                                                    .
                                                             )14
                                       v
                                                                
                                      ε v  = 0 910
                                            .
                                                                                 3
                                   The rated volumetric flow rate  into  the  compressor  is  900  ft /min.    For  this
                               example the compressor is located at 6,000 ft above sea level, thus,
                                      q = 900 acfm
                                       i
                                   With the above terms the theoretical shaft horsepower required to  compress the
                               air moving through the machine is  given by Equation 4-35a.   Thus,  the theoretical
                               shaft horsepower is
                                            () 31 4  .769 ) (900 )      161 .769  ()( . (04 )   
                                                . ( ) (11
                                      W =                               31 . ) 4  −1
                                       ˙
                                        s                                     
                                               . (04 )  229 .17    11 .769
                                                                              
                                       ˙
                                      W = 137 .8
                                        s
                               For this example
                                      ε m  = 090
                                            .
                               and from Equation 4-39, the actual shaft power is
                                      W ˙ as  =  137 .8  = 168 .2
                                              . (0 90 )  . (0 910 )
   136   137   138   139   140   141   142   143   144   145   146