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TECHNICAL BRIEFS

Linear Flow and Deformation in a Poroelastic Disk With a Free Surface

[+] Author and Article Information
J. R. Sachs

D. H. Wagner Associates, 894 Ross Drive, Suite 205, Sunnyvale, CA 94089-1443

M. R. Glucksberg

Biomedical Engineering Department, McCormick School of Engineering and Applied Science, Northwestern University, Evanston, IL 60208

O. E. Jensen

Department of Mathematics and Statistics, University of Newcastle upon Tyne, Newcastle upon Tyne, NE1 7RU, U.K.

J. B. Grotberg

Biomedical Engineering Department, McCormick School of Engineering and Applied Science, Northwestern University, Evanston, IL 60208, Department of Anesthesia, Northwestern University Medical School, 303 E. Chicago Avenue, Chicago, IL 60611

J. Appl. Mech 61(3), 726-728 (Sep 01, 1994) (3 pages) doi:10.1115/1.2901525 History: Received September 14, 1992; Revised January 04, 1993; Online March 31, 2008

Abstract

The equilibration of an axisymmetric, linearly poroelastic layer of finite thickness is determined given an immobile, impermeable base and an impermeable, stress-free top surface. Analytical and numerical studies show that there are eigenfunctions corresponding to sites of fluid injection and removal. Numerical studies also show that an increase in effective stiffness accelerates the equilibration of initial disturbances with longer wavelengths. A Gaussian initial displacement is shown to spread radially rather than simply decaying in amplitude.

Copyright © 1994 by The American Society of Mechanical Engineers
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