A New Method for the Consistent Analysis of One-Dimensional Stationary Heat Conduction in a Rarefied Gas at Rest

Abstract

A new method of analyzing nonequilibrium phenomena in a rarefied gas is explored through studying one-dimensional stationary heat conduction in a gas at rest by the third-order theory of consistent-order extended thermodynamics. We propose a consistent series solution for the moment equations and an order expansion for the uncontrollable value. The temperature solutions and the optimum uncontrollable data agree quantitatively with the numerical calculations. Temperature jumps and entropy production at the boundaries are also explicitly calculated as illustrations.