The Modified Mixture Theory for Fluid-Filled Porous Materials: Applications

[+] Author and Article Information
N. Katsube

Department of Engineering Mechanics, The Ohio State University, Columbus, Ohio 43210

M. M. Carroll

Department of Mechanical Engineering, The University of California, Berkeley, Calif. 94720

J. Appl. Mech 54(1), 41-46 (Mar 01, 1987) (6 pages) doi:10.1115/1.3172992 History: Received June 15, 1984; Revised June 24, 1986; Online July 21, 2009


The recently established modified mixture theory for fluid-filled porous materials is applied to two steady state boundary value problems; also, how the newly developed theory provides more general solution than Biot’s theory is examined. The velocity profiles in steady state boundary value problems are found to depend on the ratio of a characteristic length of the microstructure to a characteristic length defined by the boundary conditions. As opposed to Biot’s theory, the zero fluid velocity condition on the boundary are satisfied and the existence of a non-Darcy flow closer to the boundary are shown.

Copyright © 1987 by ASME
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