Murdoch University Research Repository

Welcome to the Murdoch University Research Repository

The Murdoch University Research Repository is an open access digital collection of research
created by Murdoch University staff, researchers and postgraduate students.

Learn more

A line sink in a flowing stream with surface tension effects

Holmes, R.J. and Hocking, G.C.ORCID: 0000-0002-5812-6015 (2016) A line sink in a flowing stream with surface tension effects. European Journal of Applied Mathematics, 27 (02). pp. 248-263.

Link to Published Version: http://dx.doi.org/10.1017/S0956792515000546
*Subscription may be required

Abstract

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.

Item Type: Journal Article
Murdoch Affiliation: School of Engineering and Information Technology
Publisher: Cambridge University Press
Copyright: © Cambridge University Press 2015
URI: http://researchrepository.murdoch.edu.au/id/eprint/29002
Item Control Page Item Control Page