EHD stability of two horizontal finite conducting rotating viscous fluids: Effects of energy and concentration distributions

Abstract

The objective of the present study tackles the Electrohydrodynamics (EHD) stability of two superposed horizontal liquids, where the upper layer is occupied by a perfect gas and the lower one by a viscous liquid. The structure is saturated in porous media and is subjected to a uniform rotation around its normal axis, so both centrifugal and Coriolis forces are considered. Additionally, the system is affected by a uniform, normal electric field. The novelty of the proposed mathematical model is supplemented with the impacts of temperature and concentration distributions. Therefore, for more accuracy, apart from Hsieh's simplified modulation Hsieh (1972), energy and concentration equations are incorporated. The boundary-value problem is examined using regular mode modeling; hereafter a linear stability analysis is attained. The analysis reveals in more depth a set of non-dimensional physical numbers. Consequently, this procedure reveals an extremely difficult dispersion relationship. After performing the numerical calculations, the comparison between the outcomes and the existing literature gives satisfactory findings. Furthermore, the electric field destabilizes the system. Nevertheless, based on the proportion of fluids permittivities and conductivities, the field has a dual role in leaky dielectrics.