Heat conduction between parallel flat plates in binary gas mixtures

Abstract

The heat transfer in binary gas mixtures is investigated with the moment method. Using Maxwell's force law an analytical solution is given for small temperature differences.

Heat flux in binary gas mixtures confined between two parallel plates via moment equations

“…The problem has been studied extensively by several researchers in the context of singlecomponent monatomic gases, see e.g., [32][33][34][35][36][37][38] and the references cited in [36,37]. However, the same problem in the context of gaseous mixtures has certainly received less attention and there exists only a handful number of papers in the literature on this problem in the context of gaseous mixtures [1,22,[39][40][41][42][43][44][45]. To the best of authors' knowledge, the first paper on heat transfer between parallel plates in the context of binary gas mixtures goes back to 1970s [39].…”

“…However, the same problem in the context of gaseous mixtures has certainly received less attention and there exists only a handful number of papers in the literature on this problem in the context of gaseous mixtures [1,22,[39][40][41][42][43][44][45]. To the best of authors' knowledge, the first paper on heat transfer between parallel plates in the context of binary gas mixtures goes back to 1970s [39]. More recently, Kosuge, Aoki, and Takata [40] have investigated the non-linear heat transfer based on the numerical solution of the Boltzmann equations.…”