Geodesic
Mathematical modeling of transfer processes in an elliptical channel in the free molecular regime
Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 3, pp. 24-30

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The article considers heat and mass transfer in a long channel of constant elliptical cross-section as a part of the free molecular regime. We use a diffuse reflection model as the boundary condition. The distributions are found of the mass velocity of the gas and the heat flux vector over the cross-section of the channel. An analytical method is proposed for finding the heat flux and the mass flux of the gas through the cross-section in an elliptical channel.
Keywords: diffuse reflection model, rarefied gas, free molecular regime, heat and mass transfer processes in a channel. 
@article{SJIM_2017_20_3_a2,
     author = {O. V. Germider and V. N. Popov and A. A. Yushkanov},
     title = {Mathematical modeling of transfer processes in an elliptical channel in the free molecular regime},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {24--30},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2017_20_3_a2/}
}
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O. V. Germider; V. N. Popov; A. A. Yushkanov. Mathematical modeling of transfer processes in an elliptical channel in the free molecular regime. Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 3, pp. 24-30. http://geodesic.mathdoc.fr/item/SJIM_2017_20_3_a2/