Journal article
Withdrawal of layered fluid through a line sink in a porous medium
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, Vol.38(02), pp.240-254
1996
Abstract
The flow induced when fluid is withdrawn through a line sink from a layered fluid in a homogeneous, vertically confined porous medium is studied. A nonlinear integral equation is derived and solved numerically. For a given sink location, the shape of the interface can be determined for various values of the flow rate. The results are compared with exact solutions obtained using hodograph methods in a special case. It is found that the cusped and coning shapes of the interface can be accurately obtained for the sink situated at different depths in the fluid and the volume of flow into the sink per unit of time.
Details
- Title
- Withdrawal of layered fluid through a line sink in a porous medium
- Authors/Creators
- H. Zhang (Author/Creator)G.C. Hocking (Author/Creator)
- Publication Details
- The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, Vol.38(02), pp.240-254
- Publisher
- Australian Mathematical Society
- Identifiers
- 991005542763507891
- Copyright
- © Australian Mathematical Society 1996
- Murdoch Affiliation
- Murdoch University
- Language
- English
- Resource Type
- Journal article
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- 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