Viscous potential flow of electrohydrodynamic Kelvin-Helmholtz instability through two porous layers with suction/injection effect

The linear electrohydrodynamic Kelvin-Helmholtz instability of an interface between two dielectric fluids fully saturated porous media with heat and mass transfer in the presence of a horizontal electric field is investigated. The lighter fluid is above the heavier one, so that in the absence of both motion and electric fields, the arrangement is stable where the interface is flat. It also taken into account the existence of a constant suction/injection velocities at porous boundaries. The effects of the various parameters on the stability of the interface are presented and illustrated through some sets of figures. These parameters such as the Darcy's coefficients, suction/injection velocities at the boundaries, dielectric constants, heat and mass transfer coefficient, the relative streaming velocity and the thickness of the fluid layers. It was found that the Darcy's coefficient for the porous layers plays a stabilizing role in the stability picture. Also, It was found that the thickness of the lighter fluid has stabilizing effect, and vise versa occurs for the heavier fluid. The injection of the fluids at both boundaries have stabilizing effect, in contrast with the suction at both boundaries.