J Austral Math Soc Ser B 38 pp240--254, 1996.

Withdrawal of layered fluid through a line sink in a porous medium

H. Zhang and G. C. Hocking

(Received 7 July 1994; revised 10 October 1994)

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The flow induced when fluid is withdrawn through a line sink from a layered fluid in a homogeneous, vertically confined porous medium is studied.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.

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Authors

H. Zhang
G. C. Hocking: Department of Mathematics, University of Western Australia, Nedlands, WA 6009, Australia.

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Last Modified: Mon Dec 10 16:42:47 2001