Consider liquid in a cylindrical tank. Both the tank and the liquid rotate as a rigid body (Fig. P984). The
Consider liquid in a cylindrical tank. Both the tank and the liquid rotate as a rigid body (Fig. P9–84). The free surface of the liquid is exposed to room air. Surface tension effects are negligible. Discuss the boundary conditions required to solve this problem. Specifically, what are the velocity boundary conditions in terms of cylindrical coordinates (r, θ, z) and velocity components (ur, uθ, uz) at all surfaces, including the tank walls and the free surface? What pressure boundary conditions are appropriate for this flow field? Write mathematical equations for each boundary condition and discuss.
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