Transient Magnetohydrodynamic flow of two immiscible Fluids through a horizontal channel

An analysis is made for transient Magnetohydrodynamic (MHD) flow of two immiscible fluids thorough a horizontal channel. The flow above the interface is assumed to be electrically conducting while the other fluid and the channel walls are assumed to be electrically insulating. The partial differential equations governing the flow are solved analytically using two-term periodic and non-periodic functions in both the regions of the channels. Velocity profiles are analyzed for various physical parameters such as viscosity ratio, frequency parameter and Hartmann number.