On the dynamic regulation of three-layer stratified flow through porous media

Abstract

Stability properties of two-dimensional viscous fluid layers moving in porous media is examined. The system is composed of a middle fluid embedded between two semi-infinite fluids, in which the effect of the electric field is to introduce. The principle aim of this work is to investigate the influence of fluid viscosity and the porosity effect on the growth rate in the presence of horizontal electric field. The parameters governing the layers flow system, the electric properties and porosity effects strongly influence the wave forms and their amplitudes and hence the stability of the fluid. The stability criteria are performed theoretically in which stability diagrams are obtained. It is established that the phenomenon of the dual role is found for increasing the permeability parameter as well as the dielectric ratio. It has been found that both the viscosity coefficient and the electric field damps the growth rate, introducing stabilizing influence. The role of Reynolds number and the density ratio is to increase the amplitude of the disturbance leading to the destabilization state of the flow system, promote the oscillatory 198 Sameh A. Alkharashi, Khaled Al-Hamad and Azizah Alrashidi behavior. Influence of the various parameters of the problem on the interface stability is thoroughly analyzed.