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9.6.3  Sizing Vertical Cylindrical Skimmer
            In this type of skimmer, the oil droplets move vertically upward against
            the vertially downward flowing water. For settling to occur, the velocity of
            the oil droplet, u o , must be at least equal to the average velocity of the
            water, u pw , determined by dividing the water flow rate by the circular
            cross-sectional area of the skimmer; that is,
                     5:61Q pw =ð24   3600Þ ft
                 u w ¼
                                   2
                         ð =4ÞðD=12Þ    sec
            Equating u w to u o expressed by Eq. (1) and solving for the diameter of the
            skimmer, D, we obtain

                  2
                 D ¼ 6691   Q pw   w  in: 2                              ð16Þ
                          ð
   
 Þd m
                                o
                            w
            Equation (16) is good for diameters up to 48 in. For larger diameters,
            where turbulence and short-circuiting occur, Eq. (16) should be multiplied
            by a factor F that is greater than 1. The value of F depends largely on the
            design of the inlet and outlet flow spreaders, oil collector, and baffles.
                 The retention time is obtained by dividing the height of the water in
            the skimmer, H, by the average flow velocity of the water:
                                             1
                         5:61Q pw =ð24   3600Þ
                 t rw ¼ H                     s                          ð17Þ
                                      2
                            ð =4ÞðD=12Þ
            Convert t rw into minutes in Eq. (17) and solve for the height H:
                        t rw Q pw
                 H ¼ 0:7       ft                                        ð18Þ
                          D 2
            Equation (16) determines the minimum diameter of the skimmer that
            satisfies the settling constraint. Any diameter that is equal to or larger
            than that determined from Eq. (16) is acceptable. Equation (18) determines
            the height of the water for the selected diameter to satisfy the retention
            time constraint. The total height (seam-to-seam length) of the skimmer, L s ,
            is obtained by adding 3 ft to H; that is,
                 L s ¼ H þ 3ft                                           ð19Þ



            Example 1

            A field separation and treatment plant produces 8000 BPD of water
            containing 2000 mg of oil per liter of water with a maximum oil droplet size
            of 500 mm. The water viscosity and specific gravity are 1.1 cP and 1.07,






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