Page 286 - Pipeline Rules of Thumb Handbook
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Gas—Compression    273

                     13                                            Calculate discharge volumetric efficiency using Equation
           P % = 10  P line                               (12)
                                                                 13:
             Where a detailed pulsation analysis is required, several
                                                                                     .
                                                                     1
                                                                                .
                                                                          .
           approaches may be followed. An analog analysis may be per-  E vd =¥[0 823 ] [1 617 11 28 ]
           formed on the Southern Gas Association dynamic compres-  = 0 565
                                                                       .
           sor simulator, or the analysis may be made a part of the
           compressor purchase contract. Regardless of who makes the  Calculate volume displaced per revolution using Equation
           analysis, a detailed drawing of the piping in the compressor  1:
           area will be needed.
             The following equations are intended as an aid in estimat-  PN =[ S t ¥ 3 1416  ¥  D ] [1 728  ¥ ] 4
                                                                                    2
                                                                            .
                                                                                        ,
                                                                  d
           ing bottle sizes or for checking sizes proposed by a vendor   =[5  ¥ 3 1416  ¥ ] [1 728  ¥ ] 4
                                                                                   2
                                                                                       ,
                                                                            .
                                                                                  9
           for simple installations—i.e., single cylinder connected to a
                                                                        .
           header without the interaction of multiple cylinders. The  = 0 184 cu ft or 318cu in.
           bottle type is the simple unbaffled type.
                                                                   Refer to Figure 3, volume bottle sizing, using volu-
                                                                 metric efficiencies previously calculated, and determine the
                                                                 multipliers.
             Example. Determine the approximate size of suction and  Suction multiplier = 13.5
           discharge volume bottles for a single-stage, single-acting,  Discharge multiplier = 10.4
           lubricated compressor in natural gas service.
                                                                 Discharge volume = 318 ¥ 13.5
           Cylinder bore = 9in.                                                 = 3,308cuin.
           Cylinder stroke = 5in.
           Rod diameter = 2.25in.                                Suction volume = 318 ¥ 10.4
           Suction temp = 80°F                                                = 4,294cuin.
           Discharge temp = 141°F
           Suction pressure = 514psia                              Calculate bottle dimensions. For elliptical heads, use
           Discharge pressure = 831psia                          Equation 14.
           Isentropic exponent, k = 1.28
           Specific gravity = 0.6                                 Bottle diameter d b = 0.86 ¥ volume 1/3        (14)
           Percent clearance = 25.7%
                                                                 Volume = suction or discharge volume
             Step 1. Determine suction and discharge volumetric effi-
           ciencies using Equations 5 and 13.                    Suction bottle diameter = 0.86 ¥ 4,294 1/3
                                                                                     = 13.98in.
           E vd =[ E v ¥ ]  1  k
                                                          (13)
                    f r p
                                                                 Discharge bottle diameter = 0.86 ¥ 3,308 1/3
           r p = 831 514                                                               = 12.81in.
               .
             = 1 617
                                                                 Bottle length = L b = 2 ¥ d b                  (15)
           Z 1 = 0.93 (from Figure 4, page 199)
                                                                 Suction bottle length = 2 ¥ 13.98
           Z 2 = 0.93 (from Figure 4, page 199)                                    = 27.96in.

                   .
               .
           f = 093 0 93                                          Discharge bottle length = 2 ¥ 12.81
                                                                                     = 25.62in.
               .
            = 10
             Calculate suction volumetric efficiency using Equation
           5:
                                                                                      Source
                    [
                                  .
                                     1
                                                .
           E v = 0 97  - (1 1 ) ¥ (1 617.  ) 11 28  - ] ¥ 0 257 0 03  Compressors—Selection & Sizing, Gulf Publishing Company,
                                              -
                .
                                          .
                .
             = 0 823                                               Houston, Texas.
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