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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 11, Pages 1937–1952
DOI: https://doi.org/10.31857/S0044466921110168 (Mi zvmmf11323) 		 
Mathematical physics

Hydrodynamic flows in heated pipes with boundary layer computed using the BGK model

E. A. Zabrodina, O. V. Nikolaeva, N. N. Fimin, V. M. Chechetkin

Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia
DOI: https://doi.org/10.31857/S0044466921110168
Abstract: The model problem of heat transfer from a nonuniformly heated pipe wall to the basic flow is considered, or, in other words, the initial stages of fluid temperature and pressure relaxation in a heated pipe are addressed. The computations are based on computer codes using various combinations of the Navier–Stokes equations, a modified Burnett equation, and the kinetic BGK equation.
Key words: Boltzmann equations, Navier–Stokes equations, Burnett equations, macroscopic flow variables, Chapman–Enskog method, BGK equation.
Funding agency Grant number
Russian Science Foundation 20-11-20165
Chechetkin acknowledges the support of the Russian Science Foundation, grant no. 20-11-20165.
Received: 09.11.2020
Revised: 09.11.2020
Accepted: 07.04.2021
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 11, Pages 1895–1909
DOI: https://doi.org/10.1134/S0965542521110166
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. A. Zabrodina, O. V. Nikolaeva, N. N. Fimin, V. M. Chechetkin, “Hydrodynamic flows in heated pipes with boundary layer computed using the BGK model”, Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021), 1937–1952; Comput. Math. Math. Phys., 61:11 (2021), 1895–1909
Citation in format AMSBIB
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\yr 2021
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\pages 1937--1952
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