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Fizika Goreniya i Vzryva, 2015, Volume 51, Issue 6, Pages 25–38
DOI: https://doi.org/10.15372/FGV20150604
(Mi fgv271)
 

Thermal explosion in a binary homogeneous mixture

V. Yu. Filimonova, K. B. Koshelevb

a Polzunov Altai State Technical University, Barnaul, 656038, Russia
b Institute of Water and Ecological Problems of the Russian Academy of Sciences, Barnaul, 656038, Russia
Abstract: Self-heating processes in binary homogeneous mixtures are studied based on the analysis of phase trajectories on the heating rate–temperature plane. The proposed approach allows determining the characteristic regions of exothermic reactions in the parametric diagram of the Todes criterion versus the Semenov criterion. Generalized strict criteria for the degeneration of thermal explosion are determined for reactions with low activation energy and reactions with a low thermal effect for any reaction orders. An approximating formula describing the dependence of the Todes criterion on the Semenov criterion is derived for calculating the critical conditions of thermal explosion up to its complete degeneration for reaction orders higher (or equal to) one. A criterion for the applicability of the classical thermal explosion theory as a special case of the proposed model is found. A diagram of the critical parameters in the introduced new variables is considered to predict and control the self-heating kinetics of mixtures.
Keywords: self-heating, phase trajectories, thermal explosion, binary mixtures, degeneration, critical conditions.
Received: 24.06.2014
English version:
Combustion, Explosion and Shock Waves, 2015, Volume 51, Issue 6, Pages 644–655
DOI: https://doi.org/10.1134/S0010508215060040
Bibliographic databases:
Document Type: Article
UDC: 536.46
Language: Russian
Citation: V. Yu. Filimonov, K. B. Koshelev, “Thermal explosion in a binary homogeneous mixture”, Fizika Goreniya i Vzryva, 51:6 (2015), 25–38; Combustion, Explosion and Shock Waves, 51:6 (2015), 644–655
Citation in format AMSBIB
\Bibitem{FilKos15}
\by V.~Yu.~Filimonov, K.~B.~Koshelev
\paper Thermal explosion in a binary homogeneous mixture
\jour Fizika Goreniya i Vzryva
\yr 2015
\vol 51
\issue 6
\pages 25--38
\mathnet{http://mi.mathnet.ru/fgv271}
\crossref{https://doi.org/10.15372/FGV20150604}
\elib{https://elibrary.ru/item.asp?id=25461158}
\transl
\jour Combustion, Explosion and Shock Waves
\yr 2015
\vol 51
\issue 6
\pages 644--655
\crossref{https://doi.org/10.1134/S0010508215060040}
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