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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 4, Pages 80–85 (Mi vuu297)  
This article is cited in 2 scientific papers (total in 2 papers)

MECHANICS

Variational formulation of the problem of steady flame spread rate prediction using the generalized thermodynamic functional

A. V. Kudrina, A. I. Karpovab

a Department of Computational Mechanics, Udmurt State University, Izhevsk, Russia
b Institute of Applied Mechanics, Ural Branch of RAS, Izhevsk, Russia
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Abstract: The variational statement for the generalized form of thermodynamic functional has been formulated consisting in its minimization relatively to the sought steady flame spread rate treated as additional variable. An integral relationship for the flame spread rate has been achieved for the stationary state of considered functional.
Keywords: flame spread, stationary state, variational principle, thermodynamic functional.
Received: 27.09.2011
Document Type: Article
UDC: 536.46+517.972.5
MSC: 49S05, 49M20, 76M30
Language: Russian
Citation: A. V. Kudrin, A. I. Karpov, “Variational formulation of the problem of steady flame spread rate prediction using the generalized thermodynamic functional”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 4, 80–85
Citation in format AMSBIB
\Bibitem{KudKar11}
\by A.~V.~Kudrin, A.~I.~Karpov
\paper Variational formulation of the problem of steady flame spread rate prediction using the generalized thermodynamic functional
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2011
\issue 4
\pages 80--85
\mathnet{http://mi.mathnet.ru/vuu297}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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