Page 472 - Standard Handbook Petroleum Natural Gas Engineering VOLUME2
P. 472

448   Production





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                            RESERVOIR      TUBINQ       FLOWLINE     TRANSFER LINE
                                                                   -
                                      --
                         *            -_            --           -_



                   pressures (psia); y;v,  = inlet and outlet fluid specific weight; vl, ve = inlet and outlet
                   fluid velocity; g = acceleration;   = loss of static pressure head due to fluid flow.
                     Equation 6-60 can be written in differential form as

                      dp  vdv
                     -+-+dLsine+dL,        =O                                     (6-61)
                      Y    g
                   where  dL  sin  8  = dZ  and  dLw refers  to  friction  multiplying the  equation by
                   y/dL  to give






                   Solving this equation for pressure gradient, and if we  consider a pressure drop
                   as being positive in the direction of  flow,






                   where





                   Equation  6-62  contains  three  terms  that  contribute  to  the  total  pressure
                   gradient,  i.e.:
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