Electrohydrodynamic capillary instability with heat and mass transfer

We study the linear analysis of capillary instability of a cylindrical interface between two viscous and dielectric fluids, when the fluids are subjected to a constant axial electric field and, when there is heat and mass transfer across the interface. We use viscous correction for the viscous potential flow theory in which the discontinuities in the irrotational tangential velocity and shear stress are eliminated in the global energy balance by taking viscous contributions to the irrotational pressure. A quadratic dispersion relation that accounts for the growth of axisymmetric waves is obtained and stability criterion is given in terms of a critical value of wave number as well as electric field. It is observed that heat transfer and electric field both have stabilizing effect while vapor fraction has destabilizing effect on the stability of the system.