Geodesic
Heat transfer in a gas mixture between parallel plates
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 2, pp. 321-328

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The one-dimensional steady-state heat flux and the temperature distribution in a rarefied gas mixture between two parallel plates with different temperatures are studied using the kinetic theory. The Boltzmann equation is solved by the projection method assuming that the gas consists of elastic hard spheres and the reflection from the surfaces is diffuse. The flow features are analyzed for a wide range of the Knudsen number. The molecular numerical densities of the components, the total temperature of the mixture, and the mixture heat flux are obtained. The behavior of the distribution functions for the components is discussed. A comparison with other authors' results shows that the accuracy of the given method is good. 
@article{ZVMMF_2008_48_2_a12,
     author = {A. A. Raines},
     title = {Heat transfer in a~gas mixture between parallel plates},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {321--328},
     publisher = {mathdoc},
     volume = {48},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_2_a12/}
}
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A. A. Raines. Heat transfer in a gas mixture between parallel plates. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 2, pp. 321-328. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_2_a12/