Conjugate heat transfer with rarefaction in parallel plates microchannel

In this paper, we study numerically the effects of axial wall conduction and rarefaction in parallel plates microchannel. The simultaneously developing laminar flow with a constant heat flux (H2) boundary condition will also be considered. The finite volume method is used to solve the two-dimensional Navier-Stokes and energy equations, with slip velocity and temperature jump boundary implemented at the fluid/solid interface. The results obtained by our computer code are compared to the analytical results found in the literature. For different Knudsen number Kn, thermal conductivity ratio K and dimensionless thickness E, the influence of axial conduction is demonstrated for Kn = 0, especially for large values of K and E. Concerning slip-flow, the effect of axial conduction proved to be negligible for all values of K and E.