Mathematical modeling of the mass transfer process in a rectangular channel in the problem of thermal creep
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 4, pp. 39-48
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We propose a method for calculating the mass flow through a cross-section of a rectangular channel provided that the temperature gradient is parallel to the channel axis. For describing the process we use the diffuse reflection model and study the corresponding linearized problem. For arbitrary values of the Knudsen number we calculate the values of the mass flow through the cross section of the channel. We also analyze the obtained results under the limit passage to o free molecular and hydrodynamic regimes.
Keywords:
model kinetic equations, Williams equation, model of diffuse reflection, analytical solutions, rectangular channel, Knudsen number.
@article{VNGU_2017_17_4_a3,
author = {O. V. Germider and V. N. Popov},
title = {Mathematical modeling of the mass transfer process in a rectangular channel in the problem of thermal creep},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {39--48},
publisher = {mathdoc},
volume = {17},
number = {4},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2017_17_4_a3/}
}
TY - JOUR AU - O. V. Germider AU - V. N. Popov TI - Mathematical modeling of the mass transfer process in a rectangular channel in the problem of thermal creep JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2017 SP - 39 EP - 48 VL - 17 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VNGU_2017_17_4_a3/ LA - ru ID - VNGU_2017_17_4_a3 ER -
%0 Journal Article %A O. V. Germider %A V. N. Popov %T Mathematical modeling of the mass transfer process in a rectangular channel in the problem of thermal creep %J Sibirskij žurnal čistoj i prikladnoj matematiki %D 2017 %P 39-48 %V 17 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VNGU_2017_17_4_a3/ %G ru %F VNGU_2017_17_4_a3
O. V. Germider; V. N. Popov. Mathematical modeling of the mass transfer process in a rectangular channel in the problem of thermal creep. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 4, pp. 39-48. http://geodesic.mathdoc.fr/item/VNGU_2017_17_4_a3/