Journal article
Subcritical free-surface flow caused by a line source in a fluid of finite depth
Journal of Engineering Mathematics, Vol.26(4), pp.455-466
1992
Abstract
An integral equation is derived and solved numerically to compute the flow and the free surface shape generated when water flows from a line source into a fluid of finite depth. At very low values of the Froude number, stagnation point solutions are found to exist over a continuous range in the parameter space. For each value of the source submergence depth to free stream depth ratio, an upper bound on the existence of stagnation point solutions is found. These results are compared with existing known solutions. A second integral equation formulation is discussed which investigates the hypothesis that these upper bounds correspond to the formation of waves on the free surface. No waves are found, however, and the results of the first method are confirmed.
Details
- Title
- Subcritical free-surface flow caused by a line source in a fluid of finite depth
- Authors/Creators
- G.C. Hocking (Author/Creator)L.K. Forbes (Author/Creator)
- Publication Details
- Journal of Engineering Mathematics, Vol.26(4), pp.455-466
- Publisher
- Springer
- Identifiers
- 991005543668807891
- Copyright
- © 1992 Kluwer Academic Publishers.
- Murdoch Affiliation
- Murdoch University
- Language
- English
- Resource Type
- Journal article
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InCites Highlights
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- Collaboration types
- Domestic 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