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An analysis of two and three dimensional unsteady withdrawal flows, using shallow water theory

Published online by Cambridge University Press:  17 February 2009

A. J. Koerber  and
L. K. Forbes
A. J. Koerber
Affiliation:
Department of Mathematics, University of Queensland, Brisbane, QLD 4072, Australia.
L. K. Forbes
Affiliation:
Department of Mathematics, University of Queensland, Brisbane, QLD 4072, Australia.
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Abstract

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This paper examines the predictions of shallow water theory for steady and unsteady withdrawal flows through an extended sink from fluid of finite depth. Two-dimensional plane flows and three-dimensional axi-symmetric flow through a circular drain are examined. Shallow water theory indicates the presence of limiting configurations, where the surface of the fluid collapses directly into the sink. In addition, this theory suggests that some previously computed steady solutions may be unstable.

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 3 , January 2000 , pp. 338 - 357
Copyright
Copyright © Australian Mathematical Society 2000

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