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A note on Stokes flow due to a line rotlet

Part of: Incompressible viscous fluids

Published online by Cambridge University Press:  26 February 2010

S. H. Smith
S. H. Smith
Affiliation:
Department of Mathematics, University of Toronto, Toronto, M5S 1A1, Canada.
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Summary

The results developed by Watson [1] are interpreted to indicate how the slow viscous flow due to the rotation of a small circular cylinder in the presence of a stationary cylinder can be calculated. It is shown how the stream function is given as a combination of the force-free representations corresponding to a line rotlet and a line stokeslet outside the stationary body, plus the streaming flow past the body. The coefficients which multiply these representations are calculated by techniques already described by Watson.

MSC classification

Secondary: 76D07: Stokes and related (Oseen, etc.) flows
Type
Research Article
Information
Mathematika , Volume 42 , Issue 1 , June 1995 , pp. 127 - 132
Copyright
Copyright © University College London 1995

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References

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