Oscillatory Fluid Flow Through a Porous Medium Channel Bounded by Two Impermeable Parallel Plates

[+] Author and Article Information
J. M. Khodadadi

Department of Mechanical Engineering, Auburn University, Auburn, AL 36849-5341

J. Fluids Eng 113(3), 509-511 (Sep 01, 1991) (3 pages) doi:10.1115/1.2909526 History: Received July 17, 1990; Online May 23, 2008


In the absence of the inertia effects, the analytic solution to the fully developed oscillatory fluid flow through a porous medium channel bounded by two impermeable parallel plates is presented. For the limiting case when a highly viscous fluid undergoes slow pulsation in a high porosity medium, the phase lag vanishes and similar velocity profiles are observed. At the other extreme limiting situation, fluid flow near the symmetry plane has a phase lag of 90 deg from the pressure gradient wave. Moreover, the velocity profiles exhibit maxima next to the wall which is similar to the “channeling” phenomenon observed in variable-porosity studies. It is shown that the temporal average of the frictional drag over a period vanishes, indicating no net energy losses due to oscillations.

Copyright © 1991 by The American Society of Mechanical Engineers
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