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Unsteady flow induced by a withdrawal point beneath a free surface

Published online by Cambridge University Press:  17 February 2009

T. E. Stokes ,
G. C. Hocking  and
L. K. Forbes
T. E. Stokes
Affiliation:
Department of Mathematics, University of Waikato, Hamilton, New Zealand.
G. C. Hocking
Affiliation:
School of Engineering Science, Murdoch University, Murdoch, WA 6150, Australia; e-mail: [email protected].
L. K. Forbes
Affiliation:
School of Mathematics and Physics, Universiy of Tasmania, GPO Box 252-37, Hobart, TAS 7001, Australia.
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Abstract

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The unsteady axisymmetric withdrawal from a fluid with a free surface through a point sink is considered. Results both with and without surface tension are included and placed in context with previous work. The results indicate that there are two critical values of withdrawal rate at which the surface is drawn directly into the outlet, one after flow initiation and the other after the flow has been established. It is shown that the larger of these values corresponds to the point at which steady solutions no longer exist.

Type
Research Article
Information
The ANZIAM Journal , Volume 47 , Issue 2 , October 2005 , pp. 185 - 202
Copyright
Copyright © Australian Mathematical Society 2005

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