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The rotation of two circular cylinders in a viscous fluid

Part of: Incompressible viscous fluids

Published online by Cambridge University Press:  26 February 2010

E. J. Watson
E. J. Watson
Affiliation:
Department of Mathematics, University of Manchester, Manchester M13 9PL.
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Summary

In earlier treatments of the title problem it was found that it is impossible, in general, to obtain solutions of Stokes's equations of slow viscous flow in which the fluid velocity vanishes at infinity. It is shown here that the paradox can be resolved by the introduction of a resultant force on the cylinders. This enables the solution to be matched to an outer solution of the full Navier-Stokes equations.

MSC classification

Secondary: 76D07: Stokes and related (Oseen, etc.) flows
Type
Research Article
Information
Mathematika , Volume 42 , Issue 1 , June 1995 , pp. 105 - 126
Copyright
Copyright © University College London 1995

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References

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