An application of the Chebyshev polynomials for the calculation of a rarefied gas flow in the cylindrical geometry of the channels

DOI10.33048/semi.2019.16.140zbMath1433.35212OpenAlexW3015869801MaRDI QIDQ2285204

Oksana Vladimirovna Germider, Vasily Nikolaevich Popov

Publication date: 16 January 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2019.16.140

zbMATH Keywords

Chebyshev polynomialsBGK model kinetic equationmodel of diffuse reflection

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Best approximation, Chebyshev systems (41A50) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Related Items (3)

Метод коллокации и его применение для решения линеаризованного уравнения Холвея ⋮ An application of the Chebyshev collocation method for the calculation of a mass flux in a long concentric annular channel ⋮ Mass flux and gas pressure distribution in a long concentric annular channel in the case of incomplete accommodation of gas molecules

Cites Work

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• Gas flow through an elliptical tube over the whole range of the gas rarefaction
• Poiseuille and thermal-creep flow in a cylindrical tube
• Mathematical simulation of heat and mass transfer processes in a rectangular channel depending on the accommodation coefficient of tangential momentum
• Mathematical modeling of heat transfer process in a rectangular channel in the problem of Poiseuille flow
• A review of the rarefied gas dynamics theory associated with some classical problems in flow and heat transfer

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