Mixed convective flow of immiscible fluids in a vertical corrugated channel with traveling thermal waves

Fully developed laminar mixed convection in a corrugated vertical channel filled with two immiscible viscous fluids has been investigated. by using a perturbation technique, the coupled nonlinear equations governing the flow and heat transfer are solved. the fluids are assumed to have different viscosities and thermal conductivities. separate solutions are matched at the interface using suitable matching conditions. the velocity, the temperature, the nusselt number and the shear stress are analyzed for variations of the governing parameters such as grashof number, viscosity ratio, width ratio, conductivity ratio, frequency parameter, traveling thermal temperature and are shown graphically. it is found that the grashof number, viscosity ratio, width ratio and conductivity ratio enhance the velocity parallel to the flow direction and reduce the velocity perpendicular to the flow direction.