The motion of a liquid in an open tank is that of a combinedvortex consisting of a
Chapter 6, Problem 6.39(choose chapter or problem)
The motion of a liquid in an open tank is that of a combinedvortex consisting of a forced vortex for 0 r 2 ft and a freevortex for r > 2 ft. The velocity profile and the correspondingshape of the free surface are shown in Fig. P6.39. The free surface atthe center of the tank is a depth h below the free surface at r = .Determine the value of h. Note that h = hforced + hfree, where hforcedand hfree are the corresponding depths for the forced vortex and thefree vortex, respectively. (See Section 2.12.2 for further discussionof the forced vortex.)
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