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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 2, Pages 321–328 (Mi zvmmf187)  
This article is cited in 7 scientific papers (total in 7 papers)

Heat transfer in a gas mixture between parallel plates

A. A. Raines

Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetskii pr. 28, Staryi Peterhof, St. Petersburg, 198504, Russia
Full-text PDF (823 kB) Citations (7)
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Abstract: The one-dimensional steady-state heat flux and the temperature distribution in a rarefied gas mixture between two parallel plates with different temperatures are studied using the kinetic theory. The Boltzmann equation is solved by the projection method assuming that the gas consists of elastic hard spheres and the reflection from the surfaces is diffuse. The flow features are analyzed for a wide range of the Knudsen number. The molecular numerical densities of the components, the total temperature of the mixture, and the mixture heat flux are obtained. The behavior of the distribution functions for the components is discussed. A comparison with other authors' results shows that the accuracy of the given method is good.
Key words: rarefied gas, gas mixture, Boltzmann equation, projection method.
Received: 28.12.2006
Revised: 06.08.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 2, Pages 306–313
DOI: https://doi.org/10.1007/s11470-008-2013-3
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. A. Raines, “Heat transfer in a gas mixture between parallel plates”, Zh. Vychisl. Mat. Mat. Fiz., 48:2 (2008), 321–328; Comput. Math. Math. Phys., 48:2 (2008), 306–313
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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