Velocity Slip and Temperature Jump in Homogeneous and Heterogeneous Porous Medium

In this article, we investigated the rarefied gaseous flow through a micro-tube channel filled with homogeneous and heterogeneous porous media. An analytical study is carried out to model the flow and heat transfer using the Brinkman momentum equation and the thermal energy equation. The influence of rarefied gaseous flow at the micro-tube wall is accounted for using the velocity slip and temperature jump conditions. The micro-tube wall is subjected to a uniform heat flux boundary condition. An exact solution for velocity, temperature, and average Nusselt number is obtained for both homogeneous and heterogeneous cases. The results show that flow through heterogeneous porous medium shows better heat transfer characteristics than homogeneous porous media. The results also show that raising the velocity slip coefficient increases the Nusselt number, whereas increasing the temperature jump coefficient decreases the Nusselt number.