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


Hocking, GC and Nguyen, HHN and Forbes, LK and Stokes, TE, The effect of surface tension on free-surface flow induced by a point sink, ANZIAM Journal, 57, (4) pp. 417-428. ISSN 1446-1811 (2016) [Refereed Article]

Copyright Statement

Copyright 2016 Australian Mathematical Society

DOI: doi:10.1017/S1446181116000018


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.

Item Details

Item Type:Refereed Article
Keywords:selective withdrawal, point sink, axisymmetric flow, free surface, surface tension
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Forbes, LK (Professor Larry Forbes)
ID Code:114888
Year Published:2016
Web of Science® Times Cited:2
Deposited By:Mathematics and Physics
Deposited On:2017-03-01
Last Modified:2017-11-01

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