Electrohydrodynamic Liquid Sheet Instability of Moving Viscoelastic Couple-Stress Dielectric Fluid Surrounded by an Inviscid Gas through Porous Medium

Viscoelastic liquid sheet of couple-stress type streaming with relative motion into an inviscid gas through porous molium is studied theoretically and quantitatively in this project. To derive the differential equations that describe liquids, gases, electric field, we linearized governing continuity, Maxwell’s quasi-static approximation, appropriate boundary conditions at two interfaces. Then used normal mode method. It was demonstrated analytically solutions to these can be found for both symmetric antisymmetric disturbances, respectively. We could not obtain explicit form growth rates since solve dispersion relations situations because they were obtained highly complex forms. The Mathematica program dimensionless forms numerically using Gaster’s theorem. Various influences on stability analysis considered system have been detail, it determined presence a material more unstable than would otherwise. In two-dimensional system, disturbance case corresponding situation. Some characteristics, such as Wabe number, Ohnesorge destabilizing effects, whereas others, porosity, medium permeability, viscoelasticity parameter, gas-to-liquid viscosity ratio, dielachic constants, stabilizing effects. Finally, discovered velocity ratio plays dual role condition depending whether U ≶ 1. past, only evidence very few previous studies.