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6.8.  LIQUID-GAS  FLOW  IN  PIPELINES




                                      . Two-Phase Flow Correlations of Pressure Drop

                              4.  Recommendations
                                vJpG     G (Wmz sec)      Correlation
                                <I000        all        Friedel
                                21000       >I00        Chisholrn-Baroczy
                                >IO00       400         Lockhart-Martinelli

                              2.  Lockhart-Martinelli Correlation

                                         100





                                      e 10




                                          1
                                           0.01      0.10      1.00       10         100
                                                          PARAMETER  X


                                                                     Liquid   Gas   Subscript   C
                                                                     Turbulent   Turbulent   tt   20
                                                                     Viscous   Turbulent   vt   12
                                                                    Turbulent  Viscous   tV   10
                                                                     Viscous   Viscous   w   5
                              3.  Chisholm-laroczy Correlation
                                    -
                                 @2 LO - 1 +(yZ-  I)[&p"'"(1   -X)(2--n)'2  + x2-"] = (AP/L)/(bB/L),
                                   n = 0.25
                                  y2 = (Ap/L)Go/(Ap/L)Lo
                                  B= 55/G0.',   0 < Y < 9.5
                                    = ~zo/YGO.~,  9.5 < Y < 28
                                    = 15,000/~G0.5, Y>28
                                   x= weight fraction gas
                              4.  Friedel Correlation
                                          3.24FH
                                 q2fo=E+-      3    Fr = Gz/gcDp:p
                                        Fro  045Weo'o  '
                                                  We = G2D/pTpo
                                                       (:   7)
                                                           1-x  -1
                                                   PTP=
                                                      0.7
                                                       , x=weight fraction gas
                                                   llL
                               1.  (P.B. Whalley,  cited by  G.F.  Hewitt,  1982). 2.  [Lockhart and  Martinelli,  Chem. Eng.  Prog. 45,
                              39-48  (1949);  Chisholm,  Int. J.  Heat Mass Transfer 10,  1767-1778  (1967)l. 3.  [Chisholm,  Int.  J.
                               Heat  Mass  Transfer 16,  347-348  (1973); Baroczy,  Chem.  Eng.  Prog.  Symp.  Ser.  62,  217-225
                               (19691. 4.  (Friedel, European Two Phase Flow Group Meeting, Ispra, Italy, Paper €2,  1979, cited
                              by G.F.  Hewitt,  1982).
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