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Boundary conditions at a naturally permeable wall

Published online by Cambridge University Press:  28 March 2006

Gordon S. Beavers  and
Daniel D. Joseph
Gordon S. Beavers
Affiliation:
Department of Aeronautics and Engineering Mechanics, University of Minnesota, Minneapolis, Minnesota
Daniel D. Joseph
Affiliation:
Department of Aeronautics and Engineering Mechanics, University of Minnesota, Minneapolis, Minnesota
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Abstract

Experiments giving the mass efflux of a Poiseuille flow over a naturally permeable block are reported. The efflux is greatly enhanced over the value it would have if the block were impermeable, indicating the presence of a boundary layer in the block. The velocity presumably changes across this layer from its (statistically average) Darcy value to some slip value immediately outside the permeable block. A simple theory based on replacing the effect of the boundary layer with a slip velocity proportional to the exterior velocity gradient is proposed and shown to be in reasonable agreement with experimental results.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 30 , Issue 1 , 17 October 1967 , pp. 197 - 207
Copyright
© 1967 Cambridge University Press

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References

Joseph, D. D. & Tao, L. N. 1966 Lubrication of a porous Bearing-Stokes’ solution. J. App. Mech. Trans. ASME, 753–760.Google Scholar
Muskat, M. 1937 The Flow of Fluids Through Porous Media. New York: McGraw-Hill.
Scheidegger, M. 1957 The Physics of Flow Through Porous Media. New York: Mac-Millan.