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A note on withdrawal from a fluid of finite depth through a point sink

Published online by Cambridge University Press:  17 February 2009

G. C. Hocking ,
J.-M. Vanden-Broeck  and
L. K. Forbes
G. C. Hocking
Affiliation:
Mathematics and Statistics, DSE, Murdoch University, Murdoch, WA, 6150, Australia.
J.-M. Vanden-Broeck
Affiliation:
Department of Mathematics, University of East Anglia, Norwich, UK.
L. K. Forbes
Affiliation:
School of Mathematics and Physics, The University of Tasmania, Hobart, TAS 7001, Australia.
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The problem of withdrawal through a point sink of water from a fluid of finite depth with a free surface is considered. Assuming the flow to be axisymmetric, it is found that there is a maximum Froude number at which such flows can exist. This maximum corresponds to the formation of a secondary stagnation ring on the free surface. This result extends earlier work on this problem. Comparison is made with a small Froude number solution and past experimental results.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 2 , October 2002 , pp. 181 - 191
Copyright
Copyright © Australian Mathematical Society 2002

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