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A note on the flow induced by a line sink beneath a free surface

Published online by Cambridge University Press:  17 February 2009

G. C. Hocking  and
L. K. Forbes
G. C. Hocking
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, Western Australia.
L. K. Forbes
Affiliation:
Department of Mathematics, University of Queensland, St. Lucia, Queensland.
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Abstract

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The problem of withdrawing water through a line sink from a region containing an homogeneous fluid beneath a free surface is considered. Assuming steady, irrotational flow of an ideal fluid, solutions with low Froude number containing a stagnation point on the free surface above the sink are sought using a series substitution method. The solutions are shown to exist for a value of the Froude number up to a critical value of about 1.4. No solutions of this type are found for Froude numbers greater than this value.

Type
Research Article
Information
The ANZIAM Journal , Volume 32 , Issue 3 , January 1991 , pp. 251 - 260
Copyright
Copyright © Australian Mathematical Society 1991

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