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Fizika Goreniya i Vzryva, 2012, Volume 48, Issue 4, Pages 68–75 (Mi fgv1023)  

Thermal heating regimes during first-order homogeneous reactions

V. Yu. Filimonov

Polzunov Altai State Technical University, Barnaul, 656038, Russia
Abstract: Qualitative features of self-heating regimes for first-order homogeneous reactions are considered by analyzing the structure of the phase trajectories. Consideration of the temperature dependence of the heating rate makes it possible to extend the main results of Semenov’s theory of thermal explosion and pass to a two-dimensional parameter diagram, which allows the determination of the critical ignition conditions taking into account kinetic inhibition. It is found that the diagram of the Todes criterion versus the reciprocal of the Semenov criterion has four characteristic regions with different kinetics, two of which are limiting and two transitional ones. The boundaries of the regions are calculated, and the classical theory of thermal explosion is shown to be a special case of the projections of these boundaries on the range of the Semenov criterion.
Keywords: reaction kinetics, thermal explosion, phase trajectory, parameter diagram, heating regimes.
Received: 11.05.2011
Accepted: 22.11.2011
English version:
Combustion, Explosion and Shock Waves, 2012, Volume 48, Issue 4, Pages 432–439
DOI: https://doi.org/10.1134/S0010508212040090
Bibliographic databases:
Document Type: Article
UDC: 536.46
Language: Russian
Citation: V. Yu. Filimonov, “Thermal heating regimes during first-order homogeneous reactions”, Fizika Goreniya i Vzryva, 48:4 (2012), 68–75; Combustion, Explosion and Shock Waves, 48:4 (2012), 432–439
Citation in format AMSBIB
\Bibitem{Fil12}
\by V.~Yu.~Filimonov
\paper Thermal heating regimes during first-order homogeneous reactions
\jour Fizika Goreniya i Vzryva
\yr 2012
\vol 48
\issue 4
\pages 68--75
\mathnet{http://mi.mathnet.ru/fgv1023}
\elib{https://elibrary.ru/item.asp?id=17974566}
\transl
\jour Combustion, Explosion and Shock Waves
\yr 2012
\vol 48
\issue 4
\pages 432--439
\crossref{https://doi.org/10.1134/S0010508212040090}
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