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Shallow three-dimensional flows with variable surface tension

Published online by Cambridge University Press:  29 March 2006

J. Adler  and
L. Sowerby
J. Adler
Affiliation:
Department of Mathematics, Imperial College, London S.W. 7
L. Sowerby
Affiliation:
Department of Mathematics, Imperial College, London S.W. 7
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Abstract

The three-dimensional steady flow of a shallow viscous liquid with non-uniform surface tension has been considered when the variation in surface tension results from the presence of an insoluble chemical contaminant on the surface. Similarly solutions for the particular problem of a channel flowing into a semi-infinite lake have been obtained, the depth and surface concentration at infinity being specified.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 42 , Issue 3 , 9 July 1970 , pp. 549 - 559
Copyright
© 1970 Cambridge University Press

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References

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Levich, V. G. 1962 Physicochemical Hydrodynamics. New Jersey: Prentice Hall.
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Yih, C-S. 1969 Three-dimensional motion of a liquid film induced by surface tension variation or gravity. Phys. Fluids, 12, 1982–1987.Google Scholar