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Exact, self-similar, time-dependent free surface flows under gravity

Published online by Cambridge University Press:  19 April 2006

P. L. Sachdev*
Affiliation:
Department of Applied Mathematics, Indian Institute of Science, Bangalore - 560012

Abstract

A class of exact, self-similar, time-dependent solutions describing free surface flows under gravity is found which extends the self-propagating class of solutions discovered earlier by Freeman (1972) to those which decay with time.

Type
Research Article
Copyright
Copyright © 1980 Cambridge University Press

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References

Barenblatt, G. I. & Zel'dovich, Ya. B. 1971 Ruse. Math. Sum. 26, 4562.CrossRefGoogle Scholar
Blythe, P. A., Kazakia, Y. & Varley, E. 1972 J. Fluid Mech. 56, 241255.CrossRefGoogle Scholar
Burns, J. C. 1953 Proc. Camb. Phil. Soc. 49, 695706.CrossRefGoogle Scholar
Freeman, N. C. 1972 J. Fluid Mech. 56, 257263.CrossRefGoogle Scholar
Longuet-Higgins, M. S. 1972 J. Fluid Mech. 55, 529543.CrossRefGoogle Scholar
Longuet-Higgins, M. S. 1976 J. Fluid Mech. 73, 603620.CrossRefGoogle Scholar