Geodesic
Heat transfer in a gas mixture between parallel plates
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 2, pp. 321-328 
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/
@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},
     year = {2008},
     volume = {48},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_2_a12/}
}
TY  - JOUR
AU  - A. A. Raines
TI  - Heat transfer in a gas mixture between parallel plates
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2008
SP  - 321
EP  - 328
VL  - 48
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_2_a12/
LA  - ru
ID  - ZVMMF_2008_48_2_a12
ER  - 
%0 Journal Article
%A A. A. Raines
%T Heat transfer in a gas mixture between parallel plates
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2008
%P 321-328
%V 48
%N 2
%U http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_2_a12/
%G ru
%F ZVMMF_2008_48_2_a12

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Kogan M. N., Dinamika razrezhennogo gaza, Nauka, M., 1967

[2] Cheremisin F. G., “Reshenie kineticheskogo uravneniya Boltsmana v zadache o teploperedache mezhdu parallelnymi beskonechnymi stenkami v razrezhennom gaze”, Izv. AN SSSR. Mekhanika zhidkosti i gaza, 1970, no. 5, 190–193

[3] Limar E. F., Sedova E. S., Yanitskii V. E., “Sravnenie dvukh reshenii zadachi o teploperedache v razrezhennom gaze”, Chisl. metody v dinamike razrezhennykh gazov, v. 4, VTs AN SSSR, M., 1979, 117–129

[4] Aristov V. V., Ivanov M. S., Cheremisin F. G., “Reshenie zadachi o teploperedache v razrezhennom gaze dvumya metodami”, Zh. vychisl. matem. i matem. fiz., 30 (1990), 623–626 | MR

[5] Kosuge S., Aoki K., Takata S., “Heat transfer in a gas mixture between two parallel plates: finite-difference analysis of the Boltzmann equation”, Proc. 22 RGD Simposium, New York, 2001, 289–296

[6] Cheremisin F. G., “Konservativnyi metod vychisleniya integrala stolknovenii Boltsmana”, Dokl. RAN, 357:1 (1997), 53–56 | MR

[7] Aristov V. V., Cheremisin F. G., “Konservativnyi metod rasschepleniya dlya resheniya uravneniya Boltsmana”, Zh. vychisl. matem. i matem. fiz., 20:1 (1980), 191–207 | MR | Zbl