Non-Fourier Heat Transport in Microscale and Nanoscale Gas Flows

Abstract

It is known that heat transport in microscale and nanoscale gas flows may deviate from the classical law of Fourier. A more sophisticated model may be needed to describe the gaseous and thermal transport in these cases. In this work, computationally efficient nonlinear coupled constitutive relations are presented and their properties in states removed far from thermal nonequilibrium are examined. In order to validate the new model, the force-driven Poiseuille gas flow in microchannel is considered. The emphasis will be placed on how coupled and nonlinear relationship affects the prediction of gas flow and heat transfer in microsystem.