Geodesic
Mathematical Modelling of Adiabatic Induction Period for Methane-Oxygen Mixtures in a Wide Range of Initial Pressure and Temperature
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 6 (2013) no. 1, pp. 56-71 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, high pressure.
Mots-clés : combustion and explosion, chain reactions 
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     title = {Mathematical {Modelling} of {Adiabatic} {Induction} {Period} for {Methane-Oxygen} {Mixtures} in a {Wide} {Range} of {Initial} {Pressure} and {Temperature}},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
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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 Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 6 (2013) no. 1, pp. 56-71. http://geodesic.mathdoc.fr/item/VYURU_2013_6_1_a5/

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