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276     Pipeline Rules of Thumb Handbook

           Solution.                                           1 05 129 1hp + 139 7hp) =  282hp
                                                                . (
                                                                               .
                                                                       .
          P s = 53 41 psia                                     1 075 ¥  282hp =  303hp
                .
                                                                .
                 .
          P d = 613 41 psia
                                                               Nearest nominal size compressor is 300hp.
                             2       3
                           .
                      .
         R t =  P P s = 11 5  = (3 4 ) = (2 26.  )
               d
           Try solution using 3.44 ratio and 2 stages.                       Centrifugal compressors
         1st stage: 53.41psia ¥ 3.44 = 183.5psia discharge       The centrifugal compressors are inherently high volume
         2nd stage: 178.5psia ¥ 3.44 = 614psia discharge       machines. They have extensive application in gas transmission
                                                               systems. Their use in producing operations is very limited.
         Horsepower from curve, Figure 3 = 77hp for 3.44 ratio
                1 600 000
          77hp ¥ ,  ,                                                              References
                         =  123 1 (   for 60 ∞F suction temp. )
                             .
              ,
                 ,
             1 000 000
                                                               1. Engineering Data Book, Natural Gasoline Supply Men’s
                           460 85∞
                              +
         1st stage: 123.1hp  ¥     =  129 1hp                     Association, 1957.
                                       .
                              +
                           460 60∞
                                                               2. Dr. George Granger Brown: “A Series of Enthalpy-entropy
                               +
                            460 130∞                              Charts for Natural Gas,”  Petroleum Development and
          2nd stage: 123.1hp  ¥      =  139 7hp
                                         .
                               +
                            460 60∞                               Technology, Petroleum Division AIME, 1945.
         Generalized compressibility factor
           The nomogram (Figure 1) is based on a generalized com-
                        1
         pressibility chart. It is based on data for 26 gases, excluding
         helium, hydrogen, water, and ammonia. The accuracy is about
         one percent for gases other than those mentioned.
           To use the nomogram, the values of the reduced tempera-
         ture (T/T c ) and reduced pressure (P/P c ) must be calculated
         first.
         where T = temperature in consistent units
               T c = critical temperature in consistent units
               P = pressure in consistent units
               P c = critical pressure in consistent units


           Example. P r = 0.078, T r = 0.84, what is the compressibility
         factor, z? Connect P r with T r and read z = 0.948.



                               Source

         Davis, D. S., Petroleum Refiner, 37, No. 11, (1961).




                              Reference
                                                               Figure 1. Generalized compressibility factor. (Reproduced by
         1. Nelson, L. C., and Obert, E. F.,  Chem. Engr., 203   permission Petroleum Refiner, Vol. 37, No. 11, copyright 1961,
            (1954).                                            Gulf Publishing Co., Houston.)
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