Non-Darcian effects on the flow of viscous fluid in partly porous configuration and bounded by heated oscillating plates

Abstract

This chapter deals with the fluid flow and heat transfer in a channel partially filled with porous material bounded by parallel heated oscillating plates. The Darcy-Forchheimer and the Navier-Stokes equations are employed in the porous and clear fluid domains, respectively. At the interface, the flow boundary condition imposed is a stress jump together with a continuity of velocity. The thermal boundary condition is continuity of temperature and heat flux. Solutions for the flow velocity and the solutions which take into account the convection term for the temperature field are obtained numerically. The effects of permeability parameter, Prandtl number, Reynolds number, Forchheimer coefficient, viscosity ratio and thermal conductivity ratio on the flow fields, skin friction, and heat transfer have been discussed. The results of the numerical calculations show good agreement with the analytical results for the simplified Darcy flow velocity.