Abstract
Abstract The nonlinear electrohydrodynamic Kelvin-Helmholtz instability of two superposed dielectric fluids with interfacial transfer of mass and heat is presented for layers of finite thickness. The fluids are subjected to a tangential electric field. The method of multiple scale perturbations is used to obtain a dispersion relation for the first-order problem and a Ginzburg-Landau equation, for the higher-order problem, describing the behaviour of the system. The stability criterion is expressible in terms of various competing parameters representing the equilibrium heat flux, latent heat of evaporation, gravity, surface tension, densities of the fluids, dielectric constants of the fluids, thicknesses of the layers and thermal properties of the fluids. The stability of this system is discussed both analytically and numerically and the stability diagrams are obtained.
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