Analytical characterization of gaseous slip flow and heat transport through a parallel-plate microchannel with a centered porous substrate

Purpose – The purpose of this paper is to analytically perform gaseous slip flow and heat transfer analysis within a parallel-plate microchannel partially filled with a centered porous medium under local thermal non-equilibrium (LTNE) condition. Heat transfer of gaseous flow in a porous microchannel is analytically studied. Energy communication at the porous-fluid interface is considered by two approaches: the gas rarefaction negatively impacts the heat transfer performance, and the optimum ratio of porous thickness is found to be around 0.8. Design/methodology/approach – Both Models A and B are utilized to consider the heat flux splitting for the fluid and solid phases at the porous-fluid interface. Findings – Analytical solutions for the fluid and solid phase temperature distributions and the Nusselt number are derived. In the no-slip flow limit, the present analytical solutions are validated by the partially and fully filled cases available in the literature. Research limitations/implications – The con...