Paper Title
ROLE OF ELECTRIC FIELD IN STABILIZING THREE-LAYER FLOW THROUGH A POROUS CHANNEL

Abstract
This paper deals with the stability of two waves between three layers of immiscible and incompressible fluids. Fluids are affected by uniform velocities and a constant electric field. Fluids propagate in porous media, taking into account the presence of viscosity at the interface surfaces only and not in the bulk of the fluids. The theory of viscous potentials is applied to simplify mathematical procedures.Mathieu's simultaneous equations with complex coefficients were obtained, which led to the dispersion relation that governs the stability process. Stability was dealt with analytically and numerically by drawing some graphs and obtaining stability curves. Through discussion of the graphs, it was discovered that the speed of the middle layer contributes to the system's instability. The effect of the interfacial viscosity ratio on movement has been examined from two perspectives, wave elevation and the streamlines concept. The viscosity ratio of the upper interface has a stabilizing effect on the profile of the elevation of fluid motion, whereas subsurface viscosity has the opposite effect. Keywords: Electro Hydrodynamics; Viscous Potentials; Uniform Stream; Porous Media.