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Consider a viscous film of liquid draining uniformly down the side of a vertical

ID: 2992499 • Letter: C

Question

Consider a viscous film of liquid draining uniformly down the side of a vertical rod of radius a, as in Fig. P4. 84. At some distance down the rod the film will approach a terminal or fully developed draining flow of constant outer radius b, with psi z = psi z(r), psi theta = psi r = 0. Assume that the atmosphere offers no shear resistance to the film motion. Derive a differential equation for psi z, state the proper boundary conditions, and solve for the film velocity distribution. How does the film radius b relate to the total film volume flow rate Q?

Explanation / Answer

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