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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 8, Pages 1402–1411
DOI: https://doi.org/10.7868/S0044466913060197 (Mi zvmmf9909) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Rarefied gas flow through a pipe of variable square cross section into vacuum

V. A. Titarevab, S. V. Utyuzhnikovbc, E. M. Shakhovd

a Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology (State University)
c M 13 9PL Manchester, UK, University of Manchester
d N. E. Bauman Moscow State Technical University
Full-text PDF (361 kB) Citations (12)
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DOI: https://doi.org/10.7868/S0044466913060197
Abstract: The kinetic S-model is used to study the steady rarefied gas flow through a long pipe of variable cross section joining two tanks with arbitrary differences in pressure and temperature. The kinetic equation is solved numerically by applying a second-order accurate conservative method on an unstructured mesh. The basic quantity to be computed is the gas flow rate through the pipe. The possibility of finding a solution based on the assumption of the plane cross sectional flow is also explored. The resulting solutions are compared with previously known results.
Key words: rarefied gas, kinetic S-model, Poiseuille flow, vacuum, TVD scheme.
Received: 23.01.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 8, Pages 1221–1230
DOI: https://doi.org/10.1134/S0965542513060183
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: V. A. Titarev, S. V. Utyuzhnikov, E. M. Shakhov, “Rarefied gas flow through a pipe of variable square cross section into vacuum”, Zh. Vychisl. Mat. Mat. Fiz., 53:8 (2013), 1402–1411; Comput. Math. Math. Phys., 53:8 (2013), 1221–1230
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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