A kinetic theory-based first-order slip boundary condition for gas microano-flows with heat transfer

摘要

A kinetic theory-based first-order slip boundary condition for microano-gas flows with heat transfer is presented analytically using the Chapman–Enskog solution of the Boltzmann equation. This slip model is investigated by studying heat transfer for laminar Newtonian fluid in a Poiseuille flow. The problem is solved for two different thermal boundary conditions, namely, constant heat flux and constant wall temperature with different Knudsen numbers. The interactive effects of the Knudsen number on the Nusselt numbers are determined analytically, and for both cases, the temperature profile and the Nusselt number are compared with previous published results.