Viscous potential flow analysis of electrohydrodynamic Kelvin-Helmholtz instability with heat and mass transfer: Effect of free surface charge

The electrohydrodynamic Kelvin-Helmholtz instability of the interface between two uniform superposed viscous and electrically conducting fluids in the presence of a free surface charge has been studied, when there is heat and mass transfer across the interface. Viscous potential flow theory has been used for the investigation. A dispersion relation has been derived for the linear stability analysis and the stability of the system is analyzed theoretically and numerically. Various graphs with respect to physical parameters, such as electric field, heat transfer coefficients, viscosity of the fluids and permittivity ratio have been drawn and effect of various parameters have been described. It has been observed that free surface charge and electric field both have stabilizing effect while heat transfer destabilizes the system.