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274                                                      Chapter 6

                Vortexes  will  form  in  process  vessels  for bottom,  side,  and  top  outlets  as
            illustrated in Figure 6.2. The  development  of a vortex starts with a dimple on the
            liquid surface.  Below the dimple rotational flow of the liquid reaches to the outlet.
            As the dimple deepens, a surface  vortex develops that resembles an inverted cone
            penetrating into the liquid.  In a fully  developed vortex, the cone funnel  extends to
            the vessel  outlet. As  long  as the  liquid  level  is  above  a minimum value, a vortex
            will not  form.  As discussed by Patterson [16], the minimum liquid level depends
            on the following  factors:  vessel  outlet  size  and position, tangential  velocity  com-
           ponents  in the  liquid  induced  by the  inlet  flow,  whether  the  vessel  is  draining  or
            the  level  is  constant,  outlet  liquid  velocity,  and  viscosity.  For  a  draining  tank,
            with no inflow of liquid, the outlet velocity only affects  the minimum level up to a
            velocity  of  2.6  ft/s  [16]. When  designing a vessel, considering  the  above  factors
           may reduce the minimum level at which a vortex forms.  Tangential velocity  com-
           ponents will induce a vortex so that a tangential entrance pipe should be avoided.
            When  the  outlet  line  is  at  the  top  of  the  vessel,  locate  the  line








































            Figure 6.2  Vortex formation in vessels.  From Ref.  16 with permission.




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