Page 134 - APPLIED PROCESS DESIGN FOR CHEMICAL AND PETROCHEMICAL PLANTS, Volume 1, 3rd Edition
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118                       Applied Process Design for Chemical  and Petrochemical  Plants

            (text continued from page  115)                          Flow of gases and vapors  ( compressible fluids)  through
                    q  =  cu ft/sec at flowing conditions  (Figure 2-37)  Coef-   nozzles and orifices.  (For flow field importance see Refer-
                        ficient from Reference  [22]  for liquids discharge   ences  [31]). From  [3]:

                    r0  = critical  pressure  ratio for compressible flow,  =
                        P'2/P'1                                            ,   2g ( l 44)6P
                                                                     q  = YC  A   '     ,  cu ft I  sec
                                                                                  p
                                                                         (at flowing conditions)               (2-  48)

                                                                    Y =  net expansion factor from Figures 2-38A or 2-38B
                                                                   llP  =  differential  pressure  (equal  Lo inlet gauge pressure when
                       .14                                              discharging to atmosphere)
                          ................  .....                   p  = weight density of fluid, lbs/cu ft at flowing conditions
                                   -..............  r--.....        A  =  cross section of orifice or nozzle, sq ft
                       .II                                         C' = flow coefficient from Figures 2-38A or 2-38B
                         <,  ,....__         .............  ...  r----.J.  ...
                                                ........._
                               r-,......               !  i
                    ---·'°   ........   .............   +-,        or,  W  =  1891  Yd 1  C  ,   I =-, lbs/hr   (2-  95)
                                                                                      !lP
                                                                                  2
                     Q.
                    .....   !'-....          ........._   t-r  "                     I  vi
                    ..........
                     Q.   ............  �   -..  .............  .......   """<
                     II  .!ol  ............   r-;   -..............   /�  "   where  d, = internal diameter of orifice,  in
                     ......   ....   ....  ........._   ...........   i""---....   .......   V1  =  specific volume of  fluid, cu ft/lb
                                ...........
                         �   .............  �  r-;  ...........  <,  1   I  I   ..
                       . 16        r-,   -......  ............ -   i""'-<.,,
                         �  �  <;     r-;              ..                            ,  /ilP  P/
                                                        •
                                                                                  O  f- : -,
                             ..........   ..........                   ,          2
                               :::::::: �  r-.......   <,  �       or,  q  =  11. 30 Yd  C   cu ft/sec
                                                    ___.....
                       .!><                        ....                               I  T1  Sg
                                     """"R  �  �    v'  II                at 14. 7 psia and  60° F             (2-  96)
                                     ---            L----"_:
                                             �  �
                                                 .....,..,  _,
                       .ail                                        where  Sg  =  Sp Gr gas relative Lo air,  =  mo! wt,  gas/29
                                                                                               0
                        us     I.I    l.lS   l4    I'S                   Ti= absolute temperature,  R
                                    k=Cp/C�                             P' 1  =  pressure, psi  abs
                   P' = psia                                       Procedure
                    B = ratio small-to-large diameter in orifices and nozzles,   A.  How to determine fripe size for giuen capacity  and pressure
                       and  contractions or enlargements in pipes
                                                                   drop.
             Figure  2-38C.  Critical  Pressure  Ratio,  re,  for  compressible  flow
             through  nozzles and venturi  tubes.  By permission,  Crane Co.,  Tech-   1. Assume  a  pipe  diameter,  and  calculate  velocity  in
             nical Paper #410,  1957.  Also see 1976 edition.  See note at Figure 2-   feet/  second using the given flow.
             18 explaining details of data source for chart.  Note:  P' =  psia �= ratio
             of small-to-large diameter in orifices and nozzles, and contractions or   2.  Calculate sonic velocity for fluid using Equations  2-
             enlargements in pipes.                                    84 or 2-85.
                                                                                             ,
                              lt6·INUANT  SHARP-      $QVAltE     RE·ENTRANT  5QtlAllE    WELL
                                 TV61        IDtilD       IDG£D    _J  __  w  __           ROVNDED
                                                                     TV/JI
                                                                                 EDGED
                                              !  __
                                 J
                               -,=          1--       -,,-  -,--              .......      -+   ___
                                                        �-
                                                                               n-  i---
                                                                  �
                               1DCrJ1 1/•t.tDIA.      ITIIIAM  Cl.Ult lll!U   UIICT!I • 'L-tl'a DIA.   Tlllt IUlnl Fllt
                                  1
                                 C= .52      C= .61     C= .61      C= .73      C= .82      C= .98

               Figure 2-39.  Discharge coefficients for liquid flow.  By permission, Cameron Hydraulic Data,  Ingersoll-Rand Co., Washington,  N.J., 1979.
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