Journal article
An analytical solution for critical withdrawal of layered fluid through a line sink in a porous medium
Journal of the Australian Mathematical Society Series B-Applied Mathematics, Vol.39(2), pp.271-279
1997
Abstract
Fluid withdrawn through a line sink from a layered fluid in a vertically confined porous medium is considered. A hodograph method is used to obtain the shape of the interface for a given sink position at the critical flow rate. The analytical solution is compared with a more general numerical solution developed in earlier work. It was found that the surface profiles obtained by the two methods are in close agreement. However, the present work has the advantage that it gives a fully explicit solution.
Details
- Title
- An analytical solution for critical withdrawal of layered fluid through a line sink in a porous medium
- Authors/Creators
- H. Zhang (Author/Creator)G.C. Hocking (Author/Creator)D.A. Barry (Author/Creator)
- Publication Details
- Journal of the Australian Mathematical Society Series B-Applied Mathematics, Vol.39(2), pp.271-279
- Publisher
- Jerusalem Academic Press
- Identifiers
- 991005540301407891
- Copyright
- © Australian Mathematical Society, 1997
- Murdoch Affiliation
- School of Chemical and Mathematical Science
- 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
- Mathematics, Applied
- ESI research areas
- Mathematics