EHD stability of a viscid fluid cylinder surrounding by viscous/inviscid gas with fluid-particle mixture in permeable media

The article is concerned with Electrohydrodynamics (EHD) instability of an incompressible dielectric viscous fluid in a vertical cylinder that surrounds a dielectric viscous/inviscid gas. The incompressible packing has microscopic fine dust particles of a consistent size. An unchanged tangential electric field influences the system which is saturated in porous media. Given their importance in the stability picture, the fundamental equations that regulate the particle mixture are constructed. The linear stability approach is employed to analyze the system. The motivation for tackling this problem lies in the growing interest in a variety of practical physics and engineering disciplines. The profiles of velocity fields and pressure are evaluated by the conventional normalized approach. A transcendental dispersion relationship connects the rate of growth and the wave number of the wave propagation. The procedure produces several numbers of non-dimensional characteristics of the problem at hand. Appropriate findings have been yielded that match the existing results in the available literature.