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Two infinite-Froude-number cusped free-surface flows due to a submerged line source or sink

Published online by Cambridge University Press:  17 February 2009

I. L. Collings
I. L. Collings
Affiliation:
Division of Computing & Mathematics, Deakin University, Victoria 3217, Australia.
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Abstract

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Solutions are found to two cusp-like free-surface flow problems involving the steady motion of an ideal fluid under the infinite-Froude-number approximation. The flow in each case is due to a submerged line source or sink, in the presence of a solid horizontal base.

Type
Research Article
Information
The ANZIAM Journal , Volume 28 , Issue 2 , October 1986 , pp. 260 - 270
Copyright
Copyright © Australian Mathematical Society 1986

References

Referenes

[1]Birkhoff, G. and Zarantonello, E.H., Jets, wakes and cavities (Academic Press, New York, 1957).Google Scholar
[2]Hocking, G.C., “Cusp-like free-surface flows due to a submerged source or sink in the presence of a flat or sloping bottom”, J.Austral. Math. Soc. Ser. B 26 (1985), 470–486.CrossRefGoogle Scholar
[3]Richardson, A.R., “Staionary waves in water”, Phil. Mag. (6) 40 (1920), 97–110.CrossRefGoogle Scholar
[4]Tuck, E.O. and Broeck, J.M. Vanden, “A cusp-like free-surface flow due to a submerged source or sink” J. Austral. Math. Soc. Ser B. 25 (1984), 443–450.CrossRefGoogle Scholar
[5]Yih, C.S., “Effect of geometry on selective withdrawal” (to appear in. J. Fluid Mech.).Google Scholar