2005 journal article

Investigation of stability of a laminar flow in a parallel-plate channel filled with a fluid saturated porous medium

PHYSICS OF FLUIDS, 17(9).

By: A. Avramenko, A. Kuznetsov, B. Basok & D. Blinov*

co-author countries: Ukraine πŸ‡ΊπŸ‡¦ United States of America πŸ‡ΊπŸ‡Έ
Source: Web Of Science
Added: August 6, 2018

Instability of a laminar flow in a parallel-plate channel filled with a fluid saturated porous medium is investigated on the basis of a modified Orr-Sommerfeld equation. This equation takes into account three drag terms: the Darcy term that describes friction between the fluid and the porous matrix, the Forchheimer quadratic drag term that describes a form drag due to the solid obstacles, and the Brinkman term, which is a viscous term similar to the Laplacian term in the Navier-Stokes equations. Numerical analysis is carried out using the collocation method. The dependence of the critical Reynolds number on porosity and permeability of the porous medium is analyzed numerically.