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A shearing motion of viscous liquid

Published online by Cambridge University Press:  26 February 2010

W. R. Dean
W. R. Dean
Affiliation:
The Department of Mathematics, University of Arizona, Tucson, Arizona, U.S.A.
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Extract

A steady two-dimensional motion of viscous liquid resulting from a maintained tangential velocity on a part of the bounding surface is considered. It is assumed that the liquid is contained in a long circular cylinder of radius a, and that a constant tangential velocity V is maintained over an arcual length 2b of the boundary. It should be possible to approximate to these conditions experimentally.

Type
Research Article
Information
Mathematika , Volume 14 , Issue 2 , December 1967 , pp. 125 - 131
Copyright
Copyright © University College London 1967

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References

1.An exact solution of this equation, for unequal boundary values of f, has been given by Rosenhead, L., Proc. Roy. Soc. A, 175 (1940), 436–467.Google Scholar
2.Milne-Thomson, L. M., Jacobian Elliptic Function Tables (Dover, 1950), pp. 12, 13 and 106–109.Google Scholar