HEAT TRANSFER IN THE SLIP FLOW WITH AXIAL HEAT CONDUCTION IN A MICROCHANNEL WITH WALLS HAVING A CONSTANT TEMPERATURE

The problem on thermally developed laminar slip gas fl ow 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 fl ow into a system of two partial differential equations of the fi rst order. The temperature distribution and Nusselt numbers in such a fl ow 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 fl ow is substantially dependent on the axial heat conduction in it and its rarefaction
   
Author:  Y. Haddout, A. Oubarra, and J. Lahjomri
Keywords:  heat transfer, forced convection, slip fl ow, axial heat conduction, rarefaction, self-adjoint formalism
Page:  605