Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-28T21:53:32.511Z Has data issue: false hasContentIssue false

Microscopic flow near the surface of two-dimensional porous media. Part 2. Transverse flow

Published online by Cambridge University Press:  21 April 2006

R. E. Larson
Affiliation:
Department of Chemical Engineering, 1, 1209 W California Street, Urbana, IL 61801, USA
J. J. L. Higdon
Affiliation:
Department of Chemical Engineering, 1, 1209 W California Street, Urbana, IL 61801, USA

Abstract

A model problem is analysed to study the microscopic flow near the surface of porous media. In the idealized system, we consider two-dimensional media consisting of infinite and semi-infinite periodic lattices of cylindrical inclusions. In Part 1, results for axial flow were presented. In this work results for transverse flow are presented and discussed in the context of macroscopic approaches such as slip coefficients and Brinkman's equation.

Type
Research Article
Copyright
© 1987 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Beavers, G. S. & Joseph, D. D. 1967 Boundary conditions at a naturally permeable wall. J. Fluid Mech. 30, 197207.Google Scholar
Brinkman, H. C. 1947 A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles. Appl. Sci. Res. A 1, 27.Google Scholar
Happel, J. & Brenner, H. 1973 Low Reynolds Number Hydrodynamics, 2nd edn. Noordhoff
Higdon, J. J. L. 1985 Stokes flow in arbitrary two-dimensional domains: shear flow over ridges and cavities. J. Fluid Mech. 159, 195226.Google Scholar
Larson, R. E. & Higdon, J. J. L. 1986 Microscopic flow near the surface of two-dimensional porous media. Part 1. Axial flow. J. Fluid Mech. 166, 449472.Google Scholar
Saffman, P. G. 1971 On the boundary condition at the structure of a porous medium. Stud. Appl. Maths 50, 93101.Google Scholar
Sangani, A. S. & Acrivos, A. 1982 Slow flow past periodic arrays of cylinders with application to heat transfer. Intl J. Multiphase Flow 8, 193206.Google Scholar