Heat Transfer in the Slip Flow with Axial Heat Conduction in a Microchannel with Walls Having a Constant Temperature

Abstract

The problem on thermally developed laminar slip gas flow with axial heat conduction in a microchannel (a micropipe or a parallel-plate microchannel) with walls having a constant temperature was solved analytically with the use of the self-adjoint formalism method involving the rearrangement of the energy equation for this flow into a system of two partial differential equations of the first order. The temperature distribution and Nusselt numbers in such a flow have been determined on the assumption that it is hydrodynamically fully developed in the region of the thermal entrance of a microchannel. The data obtained show that the heat transfer in this flow is substantially dependent on the axial heat conduction in it and its rarefaction.