• STEADY FLOW OF A SLIGHTLY THERMO-VISCOUS FLUID IN A POROUS SLAB BOUNDED BETWEEN TWO FIXED POROUS PARALLEL PLATES

Abstract

In this paper, the problem of the steady flow of a second order thermo-viscous fluid through a porous slab bounded between two fixed parallel porous plates is examined. The two plates are kept at two different temperatures and the flow is generated by a constant pressure gradient. The solution for the differential equations for the velocity and temperature distribution with appropriate boundary conditions have been obtained by analytical method. Flow rate, shear stress and heat transfer coefficient are calculated and illustrated graphically. The flow in the absence of porosity of the plates and porosity of the medium has been deduced as the special cases. A special feature of thermo-viscous fluids is that a force is generated in the direction perpendicular to both the flow direction and the cross-stresses perpendicular to the plates.