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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, Volume 9, Issue 1, Pages 152–163
DOI: https://doi.org/10.21638/spbu01.2022.115
(Mi vspua50)
 

This article is cited in 3 scientific papers (total in 3 papers)

MECHANICS

On the anisotropy of gas transfer processes in nano- and microchannels

V. Ya. Rudyakabc, E. V. Lezhnevca, D. N. Lyubimova

a Novosibirsk State University of Architecture and Civil Engineering, 113, ul. Leningradskaya, Novosibirsk, 630008, Russian Federation
b Novosibirsk State University, 1, ul. Pirogova, Novosibirsk, 630090, Russian Federation
c Institute of Thermophysics, Siberian Branch of the Russian Academy of Sciences, 1, ul. Lavrenteva, Novosibirsk, 630090, Russian Federation
Full-text PDF (505 kB) Citations (3)
References:
Abstract: The method of stochastic molecular modeling, developed by the authors for calculating the transport coefficients of rarefied gas in a free medium, is generalized to describe transport processes in confined conditions. The phase trajectories of the studied molecular system are simulated stochastically, and the simulation of the dynamics of the molecule is split into processes. First, its shift in the configuration space is realized, and then a possible collision with other molecules is played out. The calculation of all observables, in particular, the transport coefficients is carried out by averaging over an ensemble of independent phase trajectories. The interaction of gas molecules with the boundary is described by mirror or mirror-diffuse laws. The efficiency of the algorithm is demonstrated by calculating the selfdiffusion coefficient of argon in the nanochannel. The accuracy of modeling is investigated, its dependence on the number of particles and phase trajectories used for averaging. The viscosity of rarefied gases in the nanochannel has been systematically studied. It is shown that it is non-isotropic, and its difference along and across the channel is determined by the interaction of gas molecules with the channel walls. By changing the material of the walls, it is possible to significantly change the viscosity of the gas, and it can be several times greater than in volume, or less. The indicated anisotropy of viscosity is recorded not only in nano-, but also in microchannels.
Keywords: viscosity, diffusion, molecular modeling, nanochannel, rarefied gas, transfer processes.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2021-575
Russian Foundation for Basic Research 20-01-00041
19-01-00399
The work was partially supported by the Russian Foundation for Basic Research (grants no. 19-01-00399 and no. 20-01-00041) and the megagrant of the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2021-575).
Received: 30.03.2021
Revised: 23.06.2021
Accepted: 02.09.2021
English version:
Vestnik St. Petersburg University, Mathematics, 2022, Volume 9, Issue 1, Pages 108–115
DOI: https://doi.org/10.1134/S1063454122010125
Document Type: Article
UDC: 533.5, 533.15, 533.16
MSC: 82B80
Language: Russian
Citation: V. Ya. Rudyak, E. V. Lezhnev, D. N. Lyubimov, “On the anisotropy of gas transfer processes in nano- and microchannels”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:1 (2022), 152–163; Vestn. St. Petersbg. Univ., Math., 9:1 (2022), 108–115
Citation in format AMSBIB
\Bibitem{RudLezLyu22}
\by V.~Ya.~Rudyak, E.~V.~Lezhnev, D.~N.~Lyubimov
\paper On the anisotropy of gas transfer processes in nano- and microchannels
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2022
\vol 9
\issue 1
\pages 152--163
\mathnet{http://mi.mathnet.ru/vspua50}
\crossref{https://doi.org/10.21638/spbu01.2022.115}
\transl
\jour Vestn. St. Petersbg. Univ., Math.
\yr 2022
\vol 9
\issue 1
\pages 108--115
\crossref{https://doi.org/10.1134/S1063454122010125}
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    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
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