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A note on Stokes's stream-function for the slow steady motion of viscous fluid before plane and spherical boundaries

Published online by Cambridge University Press:  26 February 2010

W. D. Collins
W. D. Collins
Affiliation:
University College, London
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Extract

Stokes's stream-function for an axisymmetrical irrotational motion of perfect incompressible liquid, bounded by a plane [1], or by a sphere [2], has been expressed in terms of the stream-function for the motion in an unbounded liquid. Corresponding results are found in this note for the slow steady motion of a viscous liquid, when the motion in unbounded liquid is irrotational.

Type
Research Article
Information
Mathematika , Volume 1 , Issue 2 , June 1954 , pp. 125 - 130
Copyright
Copyright © University College London 1954

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References

1.Milne-Thomson, L. M., “Theoretical Hydrodynamics”, 2nd edition (Macmillan, 1949).Google Scholar
2. Butler, S. F. J., Proc. Cambridge Phil. Soc., 49 (1953), 169–174.Google Scholar