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 flow through a parallel-plate microchannel with constant wall temperatures subject to the influences of axial conduction, pressure work, and viscous dissipation. The temperature profiles and local Nusselt numbers are obtained assuming that the flow is hydrodynamically fully developed in a heating zone of semi-infinite 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 first-order partial differential equations. For simplified 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 effects of axial heat conduction, rarefaction, pressure work, and viscous dissipation on the heat transfer characteristics are studied and discussed in detail.
  Автор:  Haddout Y., Essaghir E., Oubarra A., Lahjomri J.
Ключевые слова:  heat transfer, forced convection, slip flow, axial heat conduction, rarefaction, self-adjoint formalism
Стр:  1589