Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A similar flow between two rotating disks

Authors: E. A. Hamza and D. A. MacDonald
Journal: Quart. Appl. Math. 41 (1984), 495-511
MSC: Primary 76U05
DOI: https://doi.org/10.1090/qam/724059
Correction: Quart. Appl. Math. 42 (1984), 255.
MathSciNet review: 724059
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Abstract: When viscous incompressible fluid is contained between two parallel disks which, at time $ t$, are spaced a distance $ H\sqrt {1 - \alpha t} $ apart and are rotating with angular velocities proportional to $ {\Omega _1}{(1 - \alpha t)^{ - 1}}$ the governing Navier-Stokes equations reduce to a set of ordinary differential equations. We present approximate solutions to these equations for a range of values of the three linearly independent parameters which influence the fluid motion. Special attention is given to the normal forces and the torques which the fluid exerts on the rotating surfaces.

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DOI: https://doi.org/10.1090/qam/724059
Article copyright: © Copyright 1984 American Mathematical Society

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