The motion of a liquid in an open tank is that of a combined vortex consisting of a forced vortex for 0 2 ft. The velocity profile and the corresponding shape of the free surface are shown in Fig. 6 . The free surface at the cen- ter of the tank is a depth h below the free surface at r = o. Deter- mine the value of h. Note that h = hforced + hgee Where hforced and hgee are the corresponding depths for the forced vortex and the free vortex, respectively.

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