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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. 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

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.

Full text: PDF file (127 kB)
References: PDF file   HTML file
UDC: 536.46+517.972.5
MSC: 49S05, 49M20, 76M30
Received: 27.09.2011

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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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Karpov A.I., Kudrin A.V., “K raschetu statsionarnoi skorosti rasprostraneniya plameni: primenenie printsipov termodinamiki neobratimykh protsessov”, Khimicheskaya fizika i mezoskopiya, 14:1 (2012), 5–11  mathscinet  elib
    2. A. I. Karpov, A. V. Kudrin, “Parametricheskii analiz termodinamicheskogo algoritma rascheta statsionarnoi skorosti rasprostraneniya plameni”, Kompyuternye issledovaniya i modelirovanie, 5:5 (2013), 799–804  mathnet  crossref
  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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