Abstract:
The method of characteristics was used within the framework of the kinetic approach to construct an analytical solution of the problem of heat transfer in a channel whose walls were formed by two coaxial cylinders. The main equation was the Williams kinetic equation, and the boundary condition on the channel walls was the diffusion reflection model. The vector field of the heat in the channel was determined, and the specific heat flow through the cross section of the channel was calculated. It was shown that the results obtained for a limiting case, in which the cylinder radii were significantly greater than the mean length of free path of gas molecules, were in good agreement with the results obtained for a plane channel with infinite parallel walls.
Keywords:
Boltzmann equation, gas flow in a channel, method of characteristics.
Citation:
O. V. Germider, V. N. Popov, A. A. Yushkanov, “Analytical solution of the problem of heat transfer in rarefied gas between two coaxial cylinders”, Prikl. Mekh. Tekh. Fiz., 58:2 (2017), 115–121; J. Appl. Mech. Tech. Phys., 58:2 (2017), 285–290
\Bibitem{GerPopYus17}
\by O.~V.~Germider, V.~N.~Popov, A.~A.~Yushkanov
\paper Analytical solution of the problem of heat transfer in rarefied gas between two coaxial cylinders
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2017
\vol 58
\issue 2
\pages 115--121
\mathnet{http://mi.mathnet.ru/pmtf730}
\crossref{https://doi.org/10.15372/PMTF20170212}
\elib{https://elibrary.ru/item.asp?id=29009198}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2017
\vol 58
\issue 2
\pages 285--290
\crossref{https://doi.org/10.1134/S0021894417020122}
Linking options:
https://www.mathnet.ru/eng/pmtf730
https://www.mathnet.ru/eng/pmtf/v58/i2/p115
This publication is cited in the following 1 articles:
O. V. Germider, V. N. Popov, “Rarefied gas flow between two coaxial cylinders driven by temperature gradient in the case of specular-diffuse reflection”, Comput. Math. Math. Phys., 59:8 (2019), 1333–1341
Citation in format AMSBIB
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