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A cusp-like free-surface flow due to a submerged source or sink

Published online by Cambridge University Press:  17 February 2009

E. O. Tuck
Affiliation:
Applied Mathematics Department, University of Adelaide, S. A. 5000
J.-M. Vanden Broeck
Affiliation:
Mathematics Department and Mathematics Research Center, University of Wisconsin, Madison, Wisconsin 53706, U.S.A.
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Abstract

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A solution is found for a line source or sink beneath a free surface, at a unique squared Froude number of 12.622.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1984

References

[1]Imberger, J., “Selective withdrawal: a review”, 2ndInternat. Symp. Stratified Flows, Trondheim (1980).Google Scholar
[2]Peregrine, H., “A line source beneath a free surface”, Mathematics Research Center, Univ. Wisconsin Rep. 1248 (1972).Google Scholar
[3]Broeck, J.-M. Vanden, Schwartz, L. W. and Tuck, E. O., “Divergent low-Froude-number series expansion of non-linear free-surface flow problems”, Proc. Roy. Soc. London Ser. A 361 (1978), 207 224.Google Scholar
[4]Yih, C.-S., Stratified flows (Academic Press, New York, 1980).Google Scholar