Steady Laminar Flow in a Stationary Tank With a Spinning Bottom

[+] Author and Article Information
C. V. Alonso

Department of Civil Engineering, The University of Mississippi, University, Miss.

J. Appl. Mech 42(4), 771-776 (Dec 01, 1975) (6 pages) doi:10.1115/1.3423703 History: Received May 01, 1974; Revised January 01, 1975; Online July 12, 2010


The steady incompressible viscous flow induced in a cylindrical tank by the rotation of its bottom was studied both theoretically and experimentally. The complete Navier-Stokes equations are expressed in terms of the tangential velocity, vorticity, and meridional stream function. The transformed equations are solved numerically using an alternating-direction implicit scheme and a nonuniform grid. The general validity of the numerical solution was demonstrated by the agreement between the computed and experimental results.

Copyright © 1975 by ASME
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