Unsteady two-layered conducting fluid flow through a porous medium between parallel plates in a rotating system

Abstract

This paper analyzes the heat transfer of a two layered rotatory fluid flow in a horizontal channel under the action of an applied magnetic and electric fields. The fluid in region one is porous of Darcy-Forchheimer type while the fluid in region two is non porous. The fluid flow is unsteady and a magnetic field is applied perpendicular to the plates. The flow is driven by a common constant pressure gradient in the channel bounded by two parallel porous insulating plates. The governing equations have been reduced to non-linear coupled ordinary differential equations by means of perturbation technique using two term series, after which Adomian Decomposition Method (ADM) was employed to solve the equations. The results are presented in graphical and tabular forms to illustrate the effects of the heat transfer characteristics and their dependence on the governing parameters. It is observed that as the Coriolis forces become stronger, the temperature decreases in both fluid regions. Furthermore, it is noticed that the temperature in the two regions diminishes with an increase in the porosity parameter. It is also seen that an increase in the Hartmann number causes decrease in the primary and secondary velocities profile.