Linear stability analysis of Poiseuille flow in porous medium with small suction and injection

Abstract

This paper analyses the effect of small injection/suction Reynolds number, permeability parameter and wave number on the stability of Poiseuille fluid flow in a porous medium between two parallel horizontal stationary porous plates. The main objective of the paper is to study the effect of the above parameters in temporal linear stability analysis of the flow through a modified Orr-Sommerfeld equation that we derived. We found that the normalization of the wall-normal velocity with characteristic small suction/injection velocity is important for a perfect command of porous medium fluid flow stability analysis. The stabilizing effect of the parameters in general and small suction/injection Reynolds number and permeability parameter in particular on the linear stability are also found