Viscosity Variation in Exponentially on Benard-Marangoni-Electroconvection In a Dielectric Fluid Layer

Abstract

The analysis of Bénard-Marangoni-electroconvection in a dielectric fluid layer with respect to linear stability in the influence of uniform AC electric field which is vertical in nature is investigated where exponential form of temperature dependent viscosity (TDV). In the dielectric fluid, the lower surface is considered to be rigid at fixed temperature and the free upper boundary of the fluid layer is assumed to be non-negligible surface tension characterized by thermal boundary conditions. A Galerkin-type is based on the weighted residual method (WRM) has been used to obtain the eigenvalue for gravity and electric thermal Rayleigh number. The effect of viscosity parameter is dual in nature, on Bénard–Marangoni electroconvection, depending on the selections of physical parameters, which leads to the formation of a sublayer at lower values of. As Biot number increases, there is a delay in electroconvection. It was found.