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A doublet technique for solving Oseen's equations of axisymmetric flow

Published online by Cambridge University Press:  26 February 2010

L. M. Hocking
L. M. Hocking
Affiliation:
University College, London.
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Extract

A method of solving Oseen's equations for the flow of viscous fluid past a cylinder was devised by Bairstow, Cave and Lang [1], who found a doublet solution of the equations and reproduced the flow by a distribution of these doublets over the surface of the cylinder. The same method is used here to deal with axisymmetric flow and an integral equation is given to determine the density of the distribution. The particular case of the flow past a sphere at low Reynolds numbers is solved by this method.

Type
Research Article
Information
Mathematika , Volume 5 , Issue 2 , December 1958 , pp. 134 - 140
Copyright
Copyright © University College London 1958

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References

1.Bairstow, L., Cave, B. M. and Lang, E. D.., Phil. Trans. Royal Soc. (A), 223 (1923), 383.Google Scholar
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6.Oseen, C. W., Hydrodynamik (1927), 205.Google Scholar