EFFECTS OF VISCOUS DISSIPATION AND PRESSURE WORK ON THE EXTENDED GRAETZ PROBLEM FOR A GASEOUS SLIP FLOW IN A MICROCHANNEL WITH WALLS HAVING A CONSTANT TEMPERATURE

Analytical studies are performed on the problem of a thermally developing laminar gaseous slip fl ow through a parallel-plate microchannel with constant wall temperatures subject to the infl uences of axial conduction, pressure work, and viscous dissipation. The temperature profi les and local Nusselt numbers are obtained assuming that the fl ow is hydrodynamically fully developed in a heating zone of semi-infi nite length. The obtained solution is based on the use of the self-adjoint formalism involviпg the rearrangement of the energy equation into a system of the fi rst-order partial diff erential equations. For simplifi ed limiting cases, the analytical results are compared with the available analytical and numerical ones, and a good agreement is found, which supports the validity of this solution. The eff ects of axial heat conduction, rarefaction, pressure work, and viscous dissipation on the heat transfer characteristics are studied and discussed in detail.
   
Author:  Y. Haddout, E. Essaghir, A. Oubarra, J. Lahjomri
Keywords:  heat transfer, forced convection, slip fl ow, axial heat conduction, rarefaction, self-adjoint formalism
Page:  1560