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Journal of Siberian Federal University. Mathematics & Physics, 2023, Volume 16, Issue 3, Pages 330–339 (Mi jsfu1082)  

This article is cited in 1 scientific paper (total in 1 paper)

On the calculation of the Poiseuille number in the annular region for non-isothermal gas flow

Oksana V. Germider, Vasily N. Popov

Northern (Arctic) Federal University named after M. V. Lomonosov, Arkhangelsk, Russian Federation
Full-text PDF (287 kB) Citations (1)
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Abstract: A slow longitudinal non-isothermal gas flow in the annular region caused by small pressure and temperature drops across a long micro-channel is considered in the paper. A method for calculating the values of the Poiseuille number in the transitional gas flow regime is proposed. The method is based on the solution of the model linearised Bhatnagar-Gross-Krook (BGK) kinetic equation using Chebyshev polynomials. The calculated values are compared with similar results obtained using analytical solutions of the Navier–Stokes equations with no-slip and slip boundary conditions. The effect of the accommodation coefficient of the tangential momentum of the gas molecules and the gas rarefaction parameter on the change in the Poiseuille number is analysed for small ratios of the temperature and pressure gradients of the gas in the channel.
Keywords: Chebyshev polynomials of the first kind, collocation method, nonisothermal gas flow in a channel, Poiseuille number, kinetic equation, models of boundary conditions.
Received: 11.11.2022
Received in revised form: 24.02.2023
Accepted: 20.03.2023
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Oksana V. Germider, Vasily N. Popov, “On the calculation of the Poiseuille number in the annular region for non-isothermal gas flow”, J. Sib. Fed. Univ. Math. Phys., 16:3 (2023), 330–339
Citation in format AMSBIB
\Bibitem{GerPop23}
\by Oksana~V.~Germider, Vasily~N.~Popov
\paper On the calculation of the Poiseuille number in the annular region for non-isothermal gas flow
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2023
\vol 16
\issue 3
\pages 330--339
\mathnet{http://mi.mathnet.ru/jsfu1082}
\edn{https://elibrary.ru/NHSPJB}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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    References:16
     
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