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Published September 1968 | Published
Journal Article Open

A two-dimensional sink in a density-stratified porous medium

List, E. J.

Abstract

A solution is offered for the flow induced by a two-dimensional line sink in a saturated, density-stratified porous medium. It is found that fluid is selectively withdrawn from a thin layer at the elevation of the line sink and not from the entire medium. The velocity distributions predicted by the theory are checked by experiments in a Hele–Shaw cell and good agreement found.

Additional Information

© 1968 Cambridge University Press. (Received 28 September 1967 and in revised form 22 January 1968) The author is indebted to Professors Norman H. Brooks and P. G. Saffman of the California Institute of Technology for numerous discussions concerning this problem. The experimental work was carried out at the W. M. Keck Laboratory of Hydraulics and Water Resources of the California Institute of Technology and was supported by Grant no. WP-00680 of the U.S. Public Health Service National Institutes of Health.

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August 19, 2023
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