Effects of permeability and radiation on the stability of Couette flow in a porous medium

A study on the effects of permeability and radiation on the stability of couette flow in a porous medium was carried out. The pressure differential of the equation of motion is kept constant in the Navier-Stokes equation and solution developed by the method of undetermined coefficients.It was observed that radiation and permeability has, independently destabilizing effect on the stability of couette flow. At high wave numbers (a ≤ 10) and Reynolds number (Re ≥ 2500), instability sets in but at wave numbers (a ≤ 5) stability was not affected. However, within the same range of values, radiation effect was prominent.