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Fizika Goreniya i Vzryva, 2003, Volume 39, Issue 6, Pages 38–44 (Mi fgv1919)  
This article is cited in 1 scientific paper (total in 1 paper)

Effect of the phase transition on the ignition process

S. I. Khudyaev

Syktyvkar Department of Mathematics, Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, Syktyvkar, 167000
Citations (1)
Abstract: A direct relation in the form of a first-order differential equation is obtained between the phase-transformation depth (phase-boundary position) and the Frank-Kamenetskii parameter characterizing the intensity of chemical heat release. As a particular case, this equation yields a solution of the problem obtained previously for cylindrical and plane-parallel reactors. The presence of a stable intermediate position of the interphase boundary is generalized to symmetric regions of an arbitrary (even fractional) dimension, which appears to have some physical meaning.
Keywords: ignition, phase boundary, complete phase transformation, Stefan problem, stability.
Received: 29.11.2002
English version:
Combustion, Explosion and Shock Waves, 2003, Volume 39, Issue 6, Pages 644–649
DOI: https://doi.org/10.1023/B:CESW.0000007676.33964.03
Bibliographic databases:
Document Type: Article
UDC: 517.946.53
Language: Russian
Citation: S. I. Khudyaev, “Effect of the phase transition on the ignition process”, Fizika Goreniya i Vzryva, 39:6 (2003), 38–44; Combustion, Explosion and Shock Waves, 39:6 (2003), 644–649
Citation in format AMSBIB
\Bibitem{Khu03}
\by S.~I.~Khudyaev
\paper Effect of the phase transition on the ignition process
\jour Fizika Goreniya i Vzryva
\yr 2003
\vol 39
\issue 6
\pages 38--44
\mathnet{http://mi.mathnet.ru/fgv1919}
\elib{https://elibrary.ru/item.asp?id=17066787}
\transl
\jour Combustion, Explosion and Shock Waves
\yr 2003
\vol 39
\issue 6
\pages 644--649
\crossref{https://doi.org/10.1023/B:CESW.0000007676.33964.03}
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  • https://www.mathnet.ru/eng/fgv/v39/i6/p38
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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