Journal article
Flow induced by a line sink near a vertical wall in a fluid with a free surface, Part II: finite depth
Journal of Engineering Mathematics, Vol.134(1), Art. 1
2022
Appears in Open Access via Read & Publish Agreements
Abstract
Flow caused by a line sink near a vertical wall in an otherwise stagnant fluid with a free surface is studied. A linear solution for small flow rates is obtained and a numerical method based on fundamental singularities techniques is applied to the full nonlinear problem. The sink is located at an arbitrary location away from all boundaries and the fluid is of finite depth. Steady solutions are presented for various flow rates and sink location. It is shown that the numerical results and linear solutions are in good agreement for small flow rates. The results suggest that steady nonlinear solutions are limited to flow rates below some critical value. Some interesting surface shapes are obtained depending on the location of the sink.
Details
- Title
- Flow induced by a line sink near a vertical wall in a fluid with a free surface, Part II: finite depth
- Authors/Creators
- W.F. Mansoor (Author/Creator)G.C. Hocking (Author/Creator)D.E. Farrow (Author/Creator)
- Publication Details
- Journal of Engineering Mathematics, Vol.134(1), Art. 1
- Publisher
- Springer
- Identifiers
- 991005540504807891
- Copyright
- © 2022 The Authors.
- 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