Journal article
Flow induced by a line sink near a vertical wall in a fluid with a free surface Part I: infinite depth
Journal of Engineering Mathematics, Vol.133(1), Art. 4
2022
Abstract
The two-dimensional, steady flow of an inviscid fluid induced by a line sink located near a vertical wall in a region of infinite depth is computed. The effects of surface tension are investigated. The solution in the limit of small Froude number is obtained analytically, and numerically for the nonlinear problem. The asymptotic solution is found to have a property that if the horizontal location of the sink, \(x_\mathrm{{s}} < 1\), there is only one stagnation point on the surface, at the wall. However, if the horizontal location \(x_{\mathrm{s}} > 1\), a second stagnation point forms on the free surface. Numerical solution for the nonlinear problem confirms these properties. The effect of moving the sink horizontally has also been considered. The maximum Froude numbers at which steady solutions exist are computed and compared with the previous work.
Details
- Title
- Flow induced by a line sink near a vertical wall in a fluid with a free surface Part I: infinite depth
- Authors/Creators
- W.F. Mansoor (Author/Creator) - Murdoch UniversityG.C. Hocking (Author/Creator) - Murdoch UniversityD.E. Farrow (Author/Creator) - The University of Western Australia
- Publication Details
- Journal of Engineering Mathematics, Vol.133(1), Art. 4
- Publisher
- Springer
- Identifiers
- 991005544976507891
- Copyright
- © 2022 Springer Nature Switzerland AG.
- Murdoch Affiliation
- School of Mathematics, Statistics, Chemistry and Physics
- Language
- English
- Resource Type
- Journal article
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- Collaboration types
- Domestic collaboration
- International collaboration
- Citation topics
- 8 Earth Sciences
- 8.205 Ocean Dynamics
- 8.205.2114 Hydraulic Flows
- Web Of Science research areas
- Engineering, Multidisciplinary
- Mathematics, Interdisciplinary Applications
- ESI research areas
- Engineering