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Use Eq. (17) to check the liquid capacity (retention time) constraint:
                  2
                 D L ¼ 1:429ð3000   10 þ 8000   15Þ¼ 214;350             ðE2Þ
            Select diameters smaller than the determined maximum diameter and
            determine the corresponding effective length from Eqs. (E1) and (E2) for the
            gas capacity and liquid capacity constraints, respectively. Investigation of
            Eq. (E1), however, shows that for any selected diameter, the effective length
            is too small compared to that calculated from Eq. (E2). Therefore, the gas
            capacity does not govern the design. For the liquid capacity constraints, the
            results are tabulated as follows:



            D (in.)  L (ft) [Eq. (E2)]  L s ( ¼ 4L/3) (ft)  L/(d/12)
             66          49.21          65.61       11.93
             72          41.35          55.13        9.19
             78          35.23          46.98        7.23
             84          30.38          40.50        5.786
             90          26.46          35.28        4.71
             96          23.26          31.01        3.88
            102          20.65          27.47        3.23


                 Because the most common slenderness ratio is between 3 and 5, the
            last three diameter and length combinations in the above table will be
            suitable selections. Therefore, the recommended separator size can be either
            90 in. by 36 ft, or 96 in. by 31 ft, or 102 in. by 28 ft based on cost and
            availability. Normally, the smaller diameter and longer separator is less
            expensive than the larger diameter and shorter separator.
                 The selected separator will be able to handle a much higher gas flow
            rate. The actual separator gas capacity can be calculated from Eq. (8) by
            substituting the values of d and L and calculating the value of Q g . For a
            96-in. by 31-ft separator (L ¼ 3L s /4 ¼ 23.26), the gas capacity is 263
            MMSCFD. This is much larger than the production rate of 8 MMSCFD.
            This indicates that designing the separator on the basis of being half full of
            liquid is not efficient. The size of the separator could be made smaller by
            allowing the liquid to occupy more than half the volume of the separator.


            4.5.2  Sizing Equation for Vertical Separators
            Sizing of a vertical three-phase separator is done in a similar manner to that
            used in sizing vertical two-phase separators (see Chapter 3); that is, the gas
            capacity constraint is used to determine the minimum diameter of the vessel






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