Steady Laminar Flow in a Stationary Tank With a Spinning Bottom
- 1 December 1975
- journal article
- Published by ASME International in Journal of Applied Mechanics
- Vol. 42 (4) , 771-776
- https://doi.org/10.1115/1.3423703
Abstract
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.Keywords
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