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Unsteady flow induced by a withdrawal point beneath a free surface

Stokes, T.E., Hocking, G.C.ORCID: 0000-0002-5812-6015 and Forbes, L.K. (2005) Unsteady flow induced by a withdrawal point beneath a free surface. ANZIAM Journal, 47 (02). pp. 185-202.

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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.

Item Type: Journal Article
Murdoch Affiliation: School of Chemical and Mathematical Science
Publisher: University of Adelaide, Dept. of Applied Mathematics
Copyright: © Australian Mathematical Society 2005
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