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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2013, Volume 6, Issue 1, Pages 56–71 (Mi vyuru33)  

This article is cited in 3 scientific papers (total in 3 papers)

Mathematical Modelling

Mathematical Modelling of Adiabatic Induction Period for Methane-Oxygen Mixtures in a Wide Range of Initial Pressure and Temperature

V. K. Ryabinin, Yu. M. Kovalev

South Ural State University, Chelyabinsk, Russian Federation
Full-text PDF (283 kB) Citations (3)
References:
Abstract: The subject of this work is the features of thermal explosion modeling in an isochoric adiabatic reactor for wide range of initial pressures and temperatures, with reference to the maximal kinetic mechanism of a branched-chain reaction for methane-oxygen and methane-air mixtures. Two mathematical models are constructed on the basis of gase law equations for ideal and actual gases. The amendments to an enthalpy and heat capacity for components of a gas mixture due to high-pressure in real gas are taken into account. Results of calculations for these two classes of models shown, that at high pressure the induction period in real gas is longer, than in ideal at the same starting conditions. Set, that the dominant factor, defining this effect, is difference in density of real and ideal gas after initial compression.
Keywords: mathematical modelling, combustion and explosion, chain reactions, high pressure.
Received: 07.11.2012
Document Type: Article
UDC: 544.45
MSC: 80A25, 80A30, 97M10
Language: Russian
Citation: V. K. Ryabinin, Yu. M. Kovalev, “Mathematical Modelling of Adiabatic Induction Period for Methane-Oxygen Mixtures in a Wide Range of Initial Pressure and Temperature”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:1 (2013), 56–71
Citation in format AMSBIB
\Bibitem{RyaKov13}
\by V.~K.~Ryabinin, Yu.~M.~Kovalev
\paper Mathematical Modelling of Adiabatic Induction Period for Methane-Oxygen Mixtures in a Wide Range of Initial Pressure and Temperature
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2013
\vol 6
\issue 1
\pages 56--71
\mathnet{http://mi.mathnet.ru/vyuru33}
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  • https://www.mathnet.ru/eng/vyuru/v6/i1/p56
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:292
    Full-text PDF :189
    References:48
    First page:2
     
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