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Flow caused by a point sink in a fluid having a free surface

Published online by Cambridge University Press:  17 February 2009

Lawrence K. Forbes  and
Graeme C. Hocking
Lawrence K. Forbes
Affiliation:
Department of Mathematics, University of Queensland, St. Lucia, Queensland 4067, Australia.
Graeme C. Hocking
Affiliation:
Centre for Water Research, University of Western Australia, Western Australia 6009, Australia.
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Abstract

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The flow caused by a point sink immersed in an otherwise stationary fluid is investigated. Low Froude number solutions are sought, in which the flow is radially symmetric and possesses a stagnation point at the surface, directly above the sink. A small-Froude-number expansion is derived and compared with the results of a numerical solution to the fully nonlinear problem. It is found that solutions of this type exist for all Froude numbers less than some maximum value, at which a secondary circular stagnation line is formed at the surface. The nonlinear solutions are reasonably well predicted by the small-Froude-number expansion, except for Froude numbers close to this maximum.

Type
Research Article
Information
The ANZIAM Journal , Volume 32 , Issue 2 , October 1990 , pp. 231 - 249
Copyright
Copyright © Australian Mathematical Society 1990

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