Mathematical modeling of heat transfer process in a rectangular channel in the problem of Poiseuille flow

摘要

We propose an analytical solution of problem of heat transferin a long channel with a rectangular cross section. A rarefied gas flowtrough cross section is studied on the basis of Williams kinetic equation inthe whole range of the Knudsen number varying from the free molecularregime to the hydrodynamic one. A wide range of the aspect ratio isconsidered. The heat flow is calculated as a function of a constant pressuregradient supported in the channel.