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A note on Stokes's stream function for motion with a spherical boundary

Published online by Cambridge University Press:  24 October 2008

S. F. J. Butler
S. F. J. Butler
Affiliation:
University CollegeLondon
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Extract

The circle theorem of Milne-Thomson(1) connecting the complex potential in a two-dimensional irrotational flow about a circular cylinder with that of the flow when the cylinder is absent has a three-dimensional counterpart in the result due to Weiss (3) for the perturbed velocity potential in an unlimited irrotational flow when the rigid spherical boundary r = a is inserted.

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 1 , January 1953 , pp. 169 - 174
Copyright
Copyright © Cambridge Philosophical Society 1953

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References

REFERENCES

(1)Milne-Thomson, L. M.Proc. Camb. phil. Soc. 36 (1940), 246.CrossRefGoogle Scholar
(2)Milne-Thomson, L. M.Theoretical hydrodynamics, 2nd ed. (London, 1949).Google Scholar
(3)Weiss, P. M.Proc. Camb. phil. Soc. 40 (1944), 259.CrossRefGoogle Scholar