J Austral Math Soc Ser B 37 pp406--416, 1996.

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

Lawrence K. Forbes, Graeme C. Hocking and Graeme A. Chandler

(Received 1 November 1993; revised 27 July 1994)

Abstract

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.

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Authors

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

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