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The effect of surface tension on free-surface flow induced by a point sink
Citation
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
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.
Item Details
Item Type: | Refereed Article |
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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 |
Downloads: | 0 |
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