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.
Steady Laminar Flow in a Stationary Tank With a Spinning Bottom
C. V. Alonso
Department of Civil Engineering, The University of Mississippi, University, Miss.
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Alonso, C. V. (December 1, 1975). "Steady Laminar Flow in a Stationary Tank With a Spinning Bottom." ASME. J. Appl. Mech. December 1975; 42(4): 771–776. https://doi.org/10.1115/1.3423703
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