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A line sink in a flowing stream with surface tension effects

Holmes, R.J. and Hocking, G.C. (2016) A line sink in a flowing stream with surface tension effects. European Journal of Applied Mathematics, 27 (02). pp. 248-263.

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We examine a problem in which a line sink causes a disturbance to an otherwise uniform flowing stream of infinite depth. We consider the fully non-linear problem with the inclusion of surface tension and find the maximum sink strength at which steady solutions exist for a given stream flow, before examining non-unique solutions. The addition of surface tension allows for a more thorough investigation into the characteristics of the solutions. The breakdown of steady solutions with surface tension appears to be caused by a curvature singularity as the flow rate approaches the maximum. The non-uniqueness in solutions is shown to occur for a range of parameter values in all cases with non-zero surface tension.

Publication Type: Journal Article
Murdoch Affiliation: School of Engineering and Information Technology
Publisher: Cambridge University Press
Copyright: © Cambridge University Press 2015
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