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Microscopic flow near the surface of two-dimensional porous media. Part 1. Axial flow

Published online by Cambridge University Press:  21 April 2006

R. E. Larson  and
J. J. L. Higdon
R. E. Larson
Affiliation:
Department of Chemical Engineering, University of Illinois, 1209 W California St, Urbana, Illinois 61801
J. J. L. Higdon
Affiliation:
Department of Chemical Engineering, University of Illinois, 1209 W California St, Urbana, Illinois 61801
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Abstract

A model problem is analysed to study the microscopic flow near the surface of two-dimensional porous media. In the idealized problem we consider axial flow through infinite and semi-infinite lattices of cylindrical inclusions. The effect of lattice geometry and inclusion shape on the permeability and surface flow are examined. Calculations show that the definition of a slip coefficient for a porous medium is meaningful only for extremely dilute systems. Brinkman's equation gives reasonable predictions for the rate of decay of the mean velocity for certain simple geometries, but fails for to predict the correct behaviour for media anisotropic in the plane normal to the flow direction.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 166 , May 1986 , pp. 449 - 472
Copyright
© 1986 Cambridge University Press

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