Mathematical modeling rarefied gas flow in a rectangular channel with an inner cylindrical element
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 518-527

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The article proposes method of solving the problem of heat and mass transfer in a long rectangular channel with an inner cylindrical element. A rarefied gas flow trough cross section is studied on the basis of kinetic equation in the free molecular. Diffuse reflection model for the boundary condition at the channel walls is used. The expression for the mass flux is obtained as a linear function of a pressure gradient supported in the channel.
Keywords: model of diffuse reflection, kinetic equation, free molecular regime.
@article{SEMR_2017_14_a106,
     author = {O. V. Germider and V. N. Popov},
     title = {Mathematical modeling rarefied gas flow in a rectangular channel with an inner cylindrical element},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {518--527},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a106/}
}
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O. V. Germider; V. N. Popov. Mathematical modeling rarefied gas flow in a rectangular channel with an inner cylindrical element. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 518-527. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a106/