Oscillatory flow of a conducting Jeffrey fluid in a composite porous medium channel

Abstract

Paper presented to the 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Florida, 14-16 July 2014.

Unsteady flow of a conducting Jeffrey fluid in a horizontal composite porous medium channel is investigated. A uniform transverse magnetic field of strength 0 B is applied perpendicular to the composite channel. The flow in the channel is divided into two regions, namely porous and nonporous regions. The flow in the porous region is modeled using Darcy-Brinkman equation. The viscous and Darcian dissipation terms are also included in the energy equations governing the flow. The nonlinear governing equations are solved analytically using two-term harmonic and non-harmonic functions. The effects of the porous medium parameter, ratio of viscosities, oscillation amplitude, conductivity ratio, Prandtl number and Eckert number on the velocity and the temperature fields are studied in detail. It is found that the velocity decreases with the increase in the non-Newtonian Jeffrey parameter whereas the temperature shows same trend with the Jeffrey parameter. For a given ratio of viscosity m, the interface velocity decreases with increasing magnetic parameter M and porous medium parameter σ.