Journal article
Unsteady flows induced by a point source or sink in a fluid of finite depth
European Journal of Applied Mathematics, Vol.28(3), pp.357-379
2016
Abstract
The time-varying flow in which fluid is withdrawn from or added to a reservoir of infinite or arbitrary finite depth through a point sink or source of variable strength beneath a free surface is considered. Backed up by some analytic work, a numerical method is used, and the results are compared with previous work on steady and unsteady flows. In the case of withdrawal for an impulsively started flow, it is found that the critical flow rate increases with reservoir depth, although it changes little as the depth increases beyond double the sink submergence depth. The largest flow rate at which steady solutions can evolve in source flows follows a similar pattern although at a considerably higher value. Simulations indicate that some of the previously calculated steady state solutions at higher flow rates may be unstable, if they exist at all.
Details
- Title
- Unsteady flows induced by a point source or sink in a fluid of finite depth
- Authors/Creators
- T.E. Stokes (Author/Creator)G.C. Hocking (Author/Creator)L.K. Forbes (Author/Creator)
- Publication Details
- European Journal of Applied Mathematics, Vol.28(3), pp.357-379
- Publisher
- Cambridge University Press
- Identifiers
- 991005544531407891
- Copyright
- © Cambridge University Press 2016
- Murdoch Affiliation
- School of Engineering and Information Technology
- Language
- English
- Resource Type
- Journal article
Metrics
39 Record Views
InCites Highlights
These are selected metrics from InCites Benchmarking & Analytics tool, related to this output
- 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
- Mathematics, Applied
- ESI research areas
- Mathematics