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0.5

            0.45
             0.4
            0.35
             0.3

            0.25
             0.2
            0.15

             0.1
            0.05
               0
                 0      0.1      0.2     0.3      0.4     0.5

            Figure 6 H o =D as a function of A w =A.



            Gas Capacity Constraint
            The gas capacity constraint equation developed for two-phase horizontal
            separator in Chapter 3 is also valid for three-phase horizontal separators.
            The equation provides a relationship between the separator diameter and
            effective length as follows:

                           Q g TZ       g   C d
                                                  1=2
                 LD ¼ 422                                                ð13Þ
                             P
                                     o   g   d m
            where D is the separator internal diameter (in.), L is the effective length of

            the separator (ft), T is the operating temperature ( R), Z is the gas
            compressibility at operating pressure and temperature, P is the operating
                                                                      3
            pressure,   g and   o are the gas and oil densities, respectively (lb/ft ), C d is
            the drag coefficient, and d m is the minimum oil droplet size to be separated
            from gas (mm). As discussed in Chapter 3, d m is normally taken as 100 mm
            and C d is determined by the iterative procedure described there.
                 Using diameters smaller than the maximum diameter determined
            from the above water droplet settling constraint, Eq. (13) is used to
            determine possible diameter and length combinations that satisfy the gas
            capacity constraint.






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