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

Published online by Cambridge University Press:  17 February 2009

Lawrence K. Forbes
Affiliation:
Dept. of Math., The University of Queensland, QLD 4072, Australia.
Graeme C. Hocking
Affiliation:
Dept. of Math., The University of Western Australia, Nedlands, Western Australia 6009, Australia.
Graeme A. Chandler
Affiliation:
Dept. of Math., The University of Queensland, QLD 4072, Australia.
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Abstract

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Withdrawal flow through a point sink on the bottom of a fluid of finite depth is considered. The fluid is at rest at infinity, and a stagnation point is present at the free surface, directly above the point sink. Numerical solutions are computed by means of the method of fundamental solutions, and it is observed that flows of this type are apparently possible for Froude number less than about 1.5. Relationships to previous work are discussed.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1996

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