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126                      Applied Process Design for Chemical and Petrochemical Plants

               3. Calculate                                            value  times  1.1 to  2.0,  depending upon  critical
                                                                       nature of application.
               X  = (APL/AP,)l/2                         (2-114)
                                                                       APTph = APTP L + n h F,pL/144           (2-118)
               4. Calculate 8 for types  of  flow selected from Figure
                 2-40  [33].
                                                                       where pL is the density, lb/cu ft, of the liquid flowing
                                                                       in the line, and F,,  elevation factor using gas veloci-
               Type flow                  Equation for QGIIT           ty, v.
             Froth or Bubble        @  = 14.2 X0.75/Wm0.1
             Plug                   @  = 27.315 X0.s55/W rn 0.17       F,  = 0.00967 Wrn0,5/v0,7, for v > 10   (2-119)
             Stratified             @  = 15,400 X/Wmo.’
             Slug                   Q = 1,190 X0.185/WmO.5
             Annular”               @  = (4.8 - 0.3125d) X0.348 - 0.021d   or as an alternate: F,  = 1.7156 Vg-0.’02   (2-1 20)
             *Set d = 10 for any pipe larger than  10-in.
                X = [APL~~./AP~~~I~’*                                  Use  Figure  2-42 for v less than  10. Most gas trans-
                                                                     mission lines flow at from 1-15  ft/sec.
               5. Calculate two-phase pressure  drop, horizontal por-   For fog or spray type  flow,  Baker  [33]  suggests using
                 tions of lines. For all types of flow, except wave  and   Martinelli’s correlation and multiplying results by two [46].
                 fog or spray:
                                                                     (a) For gas pipe  line flow, the values of QGTT  may be
                 AP~~ APG@GTT,  psi per foot             (2-1 15)       converted to “efficiency E” values and used to cal-
                      =
                                                                        culate the flow for the horizontal portion  using a
                  For wave  [52].                                       fixed allowable pressure  drop in the general flow
                                                                        equation  [33]. The effect  of  the  vertical compo-
                  APTP = fTp  (G’,)‘/193.2   dPg,  pSi/fOOt   (2-1 1 6)   nent must be added to establish the total pressure
                                                                        drop for the pumping system.
                  where
                                                                           -I
                  fTp  = 0.0043 (Wm~L/Gpg)0.214           (2-117)              38.7’744Ts (PI2 - P,‘  )d5
                                                                       d 14.66  -   lOOOP,   L,S,TZ
               6. Total two-phase pressure drop, including horizon-
                  tal  and  vertical  sections  of  line.  Use  calculated   where 14.65 refers to reference pressure P,.





                            Liquid Head
                            Factor, F,
                              1.0
                              0.9
                              0.8
                             0.7
                              0.6
                              0.5
                              0.4
                              0.3
                              0.2
                              0.
                               I

                                                       Superficial  Gas  Velocity, ft./sac.
             Figure 2-42.  Estimating pressure drop in uphill sections of pipeline for two-phase flow. By permission, 0. Flanigan, Oil and Gas Journal, Mar.
             10, 1958, p. 132.
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