Journal article
A line sink in a flowing stream with surface tension effects
European Journal of Applied Mathematics, Vol.27(02), pp.248-263
2016
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.
Details
- Title
- A line sink in a flowing stream with surface tension effects
- Authors/Creators
- R.J. Holmes (Author/Creator) - Murdoch UniversityG.C. Hocking (Author/Creator) - Murdoch University
- Publication Details
- European Journal of Applied Mathematics, Vol.27(02), pp.248-263
- Publisher
- Cambridge University Press
- Identifiers
- 991005540824907891
- Copyright
- © Cambridge University Press 2015
- Murdoch Affiliation
- School of Engineering and Information Technology
- Language
- English
- Resource Type
- Journal article
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- Citation topics
- 8 Earth Sciences
- 8.205 Ocean Dynamics
- 8.205.2114 Hydraulic Flows
- Web Of Science research areas
- Mathematics, Applied
- ESI research areas
- Mathematics