Heat transfer of rarefied gases in a corrugated microchannel

摘要

A theoretical investigation of convective heat transfer in a microchannel, in respect of rarefied gas flows, is presented. The transport equations of continuum theory are adopted under incompressible flow conditions, relegating the rarefaction effects to suitably modify the conventional no-slip boundary conditions with corresponding expressions to account for tangential wall-slip velocity and temperature jump at the solid-fluid Interface. Analytical expression for the mean Nusselt number describing the average rate of heat transfer from the relatively warmer wall of the channel is obtained up to O(ε{sup}2), whereε1 is the dimensionless amplitude of the corrugation peaks of the walls. The results show that viscous heat generation decreases with increasing slip and is in conformity with total flow behaviour which increases with slip.