Prediction of temperature distribution and Nusselt number in rectangular microchannels at wall slip condition for all versions of constant wall temperature

Abstract

Slip flow in rectangular microchannels heated at constant and uniform wall temperature (H1 boundary condition) is studied. The study is extended to the eight possible thermal versions that are formed of different combinations of heated and adiabatic walls. Integral transform method is applied to derive the velocity and temperature distributions and thus, the average Nusselt number for all the eight thermal versions. It is found that, for microchannels with perfect accommodation for velocity and temperature, the rarefaction has a decreasing effect on heat transfer for all the eight thermal versions. The results of the paper for the special case of non-slip flow agree exactly with the results found for macrochannels in literature.