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Fizika Goreniya i Vzryva, 2009, Volume 45, Issue 3, Pages 44–48 (Mi fgv1288)  

This article is cited in 8 scientific papers (total in 8 papers)

Statistical analysis of kinetics of an adiabatic thermal explosion

V. G. Medvedev, V. G. Telegin, G. G. Telegin

Ul’yanov Chuvashiya State University, Cheboksary, 428015, Russia
Citations (8)
Abstract: Stochastic phenomena in the kinetics of chemical reactions induced by a thermal explosion are studied. The statistical analysis is performed on the basis of nonlinear differential equations for gas temperature and concentration of reacting particles with random initial conditions, and also corresponding equations for the probability density function of the state variables of the system. The results of the numerical solution of these equations are presented in the graphical form as a statistical set of an ensemble of kinetic curves of concentration of reacting particles and gas temperature and as the time evolution of their probability density function. Small random fluctuations of gas temperature and particle concentration at the beginning of the reaction are demonstrated to induce significant fluctuations of the induction period.
Keywords: thermal explosion, chemical reactions, gas temperature, concentrations of reagents, fluctuations, induction period, statistical analysis, numerical methods, nonlinear differential equations, kinetic curves, evolution of the probability density function.
Received: 28.11.2007
Accepted: 16.09.2008
English version:
Combustion, Explosion and Shock Waves, 2009, Volume 45, Issue 3, Pages 274–277
DOI: https://doi.org/10.1007/s10573-009-0036-2
Bibliographic databases:
Document Type: Article
UDC: 534.222.2
Language: Russian
Citation: V. G. Medvedev, V. G. Telegin, G. G. Telegin, “Statistical analysis of kinetics of an adiabatic thermal explosion”, Fizika Goreniya i Vzryva, 45:3 (2009), 44–48; Combustion, Explosion and Shock Waves, 45:3 (2009), 274–277
Citation in format AMSBIB
\Bibitem{MedTelTel09}
\by V.~G.~Medvedev, V.~G.~Telegin, G.~G.~Telegin
\paper Statistical analysis of kinetics of an adiabatic thermal explosion
\jour Fizika Goreniya i Vzryva
\yr 2009
\vol 45
\issue 3
\pages 44--48
\mathnet{http://mi.mathnet.ru/fgv1288}
\elib{https://elibrary.ru/item.asp?id=12579042}
\transl
\jour Combustion, Explosion and Shock Waves
\yr 2009
\vol 45
\issue 3
\pages 274--277
\crossref{https://doi.org/10.1007/s10573-009-0036-2}
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  • https://www.mathnet.ru/eng/fgv/v45/i3/p44
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Fizika Goreniya i Vzryva Fizika Goreniya i Vzryva
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