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

Published online by Cambridge University Press:  28 March 2006

E. J. List
Affiliation:
Department of Theoretical and Applied Mechanics, University of Auckland, New Zealand

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 It is found that fluid is selectively withdrawn from a thin layer at the elevation of the line sink and not from the entire medium.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.

Type
Research Article
Copyright
© 1968 Cambridge University Press

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References

Carrier, G. F., Krook, M. & Pearson, C. E. 1966 Functions of a Complex Variable, chapter 7. New York: McGraw-Hill.
Elder, J. W. 1967 Steady free convection in a porous medium heated from below J. Fluid Mech. 27, 2948.Google Scholar
Kao, T. W. 1965 A free streamline solution for stratified flow into a line sink J. Fluid Mech. 21, 53543.Google Scholar
Koh, R. C. Y. 1964 Stratified flow towards a sink in a porous medium. W. M. Keck Lab. of Hydr. Water Res., Tech. Mem. 64-2 California Institute of Technology.Google Scholar
Koh, R. C. Y. 1966 Viscous stratified flow towards a sink J. Fluid Mech. 24, 55575.Google Scholar
List, E. J. & Brooks, N. H. 1967 Lateral dispersion in saturated porous media J. Geophys. Res. 72, 253141.Google Scholar
Wooding, R. A. 1960 Instability of a viscous liquid in a vertical Hele-Shaw cell J. Fluid Mech. 7, 50115.Google Scholar
Yih, C. S. 1958 On the flow of a stratified fluid. Proc. 3rd Nat. Cong. Appl. Mech.Google Scholar
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