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Gas—Compression    281

                                                            Table 2
                             Approximate Mechanical Losses as a Percentage of Gas Power Requirement*

                                      Gas power Requirement
                                                                                        Mechanical
                            English                          Metric                     Losses, L m
                            (hp)                              (kW)                         (%)

                                0–3,000                       0–2,500                      3
                            3,000–6,000                   2,500–5,000                      2.5
                            6,000–10,000                  5,000–7,500                      2
                            10,000+                       7,500+                           1.5

                            * There is no way to estimate mechanical losses from gas power requirements.  This table
                             will, however, ensure that mechanical losses are considered and yield useful values for estimat-
                             ing purposes.








                                                                                (
             Determine polytropic head, H p :                    Mechanical losses  L m ) = 25.%  ( from Table 2)
                                                                                 L m = (0 025 )(4 290,  )
                                                                                       .
                    (
                          1
           H p =  Z RT n n - )[ r p ( n- ) 1  n - ] 1
                    1
                 a
                                                                                    = 107 hp
                                       [
                                              .
              = (0 94.  )(1 545 45 5,  .  )(520 )(6 88.  ) (3 33.  ) 16 88  - ] 1
              = 21 800,  ft lbf lbm
                       -
                                                                 PWR s = PWR g + L m
             Determine the required number of compressor stages, q:   = 4,290 + 107
                                                                      = 4,397hp
           q = ( [ 26 1 . MW ) ( 1 k Z T  )] 05 .
                           1 1
                                .
            = ( [ 26 1 .  )(45 5 .  ) (1 126 )(0 955 )(520 )] 05 .
                          .
                                                                   Determine the actual discharge temperature:
               .
            = 146
           max H p/ stage from Figure 1 using q = 1.46                   ( n 1)  n
                                                                           -
                                                                 T 2 =  T r p1 ()
                                                                              .
           Number of stages =  H p max. H stage                    =  520 3 33) 16 88
                                                                        ( .
                                     p
                          = 21 ,800 9 ,700                         =  619∞ R
                          = .225                                   =  159∞ F
                          =  3 stages
             Determine the required rotational speed:              The discharge temperature calculated in the last step is the
                                                                 same as that calculated earlier only because of the decision to
           N N nom[ H H pnom ¥  no stages]  . 05                 use the inlet k-value instead of the average k-value. Had the
             =
                               .
                     p
                                )( )]
              5
             = ,900 [ ,21 800  ( ,10 000 3  . 05                 average k-value been used, the actual discharge temperature
                                                                 would have been lower.
              5
             = ,030 rpm
             Determine the required shaft power:
                                                                                      Source
           PWR g =  mH p 33 000  n p
                         ,
                    ,
                 = (5 000 )(21 800,  ) (33 000,  )(0 77.  )      Estimating Centrifugal Compressor Performance, Gulf Pub-
                 = 4 290 hp                                        lishing Company, Houston, Texas.
                   ,
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