Heat transfer effects on the oscillatory MHD flow in a porous channel with two immiscible fluids

The MHD oscillatory flow of two immiscible, viscous liquids in a porous channel with heat transfer is the subject this investigation. liquid layers different viscosities both regions. analytical expressions for velocity and temperature distribution have been derived by solving governing equations using regular perturbation method. effects various parameters on velocity, temperature, Nusselt number shown graphically, numerical values skin friction rate are presented tabular form discussed. According to our analysis, mass flux reduces as magnetic field strength rises. While enhances an increase Eckert Prandtl number, rises decrease thermal conductivity ratio. To validate results, solutions compared fourth-order Runge–Kutta method coupled shooting approach, results found be excellent agreement.