ANZIAM J.
47 (2005), 185-202
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Unsteady flow induced by a withdrawal point beneath a free surface
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T. E. Stokes
Department of Mathematics
University of Waikato
Hamilton
New Zealand
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L. K. Forbes
School of Mathematics and Physics
University 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.
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Australian Mathematical Publishing Association Inc.
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©
Australian MS
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