Electrohydrodynamic Couette–Poiseuille Flow Instability of Two Viscous Conducting and Dielectric Fluid Layers Streaming through Brinkman Porous Medium

The electrohydrodynamic plane Couette–Poiseuille flow instability of two superposed conducting and dielectric viscous incompressible fluids confined between rigid horizontal planes under the action a normal electric field pressure gradient through Brinkman porous medium has been analytically investigated. lower is stationary, while upper one moving with constant velocity. details base state mathematical model linearized equations for perturbed are introduced. Following usual procedure linear stability analysis fluids, we derived non-dimensional modified Orr–Sommerfeld obtained associated boundary interfacial conditions suitable problem. eigenvalue problem solved using asymptotic wave numbers in long-wavelength limit to obtain very complicated novel dispersion relation velocity lengthy calculations. equation Mathematica software v12.1 study graphically effects various parameters on system. It obvious from figures that system absence and/or more unstable than their presence. found also boundary, permeability, Reynolds number have dual roles system, stabilizing as well destabilizing depending viscosity ratio value. potential, influences porosity medium, density Froude influences. A depth less role it influence values greater one. observed stratification brings about effect