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The effect of surface tension on free-surface flow induced by a point sink

Hocking, G.C., Nguyen, H.H.N., Forbes, L.K. and Stokes, T.E. (2016) The effect of surface tension on free-surface flow induced by a point sink. The ANZIAM Journal, 57 (04). pp. 417-428.

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Link to Published Version: http://dx.doi.org/10.1017/S1446181116000018
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Abstract

The steady, axisymmetric flow induced by a point sink (or source) submerged in an inviscid fluid of infinite depth is computed and the resulting deformation of the free surface is obtained. The effect of surface tension on the free surface is determined and is the new component of this work. The maximum Froude numbers at which steady solutions exist are computed. It is found that the determining factor in reaching the critical flow changes as more surface tension is included. If there is zero or a very small amount of surface tension, the limiting factor appears to be the formation of small wavelets on the free surface; but, as the surface tension increases, this is replaced by a tendency for the lowest point on the free surface to descend sharply as the Froude number is increased.

Publication Type: Journal Article
Murdoch Affiliation: School of Engineering and Information Technology
Publisher: Cambridge University Press
Copyright: © 2016 Australian Mathematical Society
URI: http://researchrepository.murdoch.edu.au/id/eprint/30507
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