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Flow due to a point source of momentum in a viscous fluid contained in a sphere

Published online by Cambridge University Press:  24 October 2008

K. B. Ranger
K. B. Ranger
Affiliation:
Department of Mathematics, University of Toronto, Toronto 5, Canada
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Abstract

It is argued that the zero Reynolds limit of the steady incompressible axially symmetric viscous fluid motion interior to a sphere due to a Landau source at the centre is a Stokes flow. The first three terms of the perturbation expansion are determined and the order of magnitude of the general term not derivable from the Landau source is established. Comparison of the convection terms with the diffusion terms for each order of the Reynolds number demonstrates self consistency at each stage of the expansion.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 1 , January 1967 , pp. 249 - 256
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

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