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JOURNALS // Journal of Computational and Engineering Mathematics // Archive

J. Comp. Eng. Math., 2025 Volume 12, Issue 2, Pages 3–12 (Mi jcem278)

Computational Mathematics

Analysis of the effect of mathematical models of chemical transformations on the ignition of methane-oxygen mixtures

M. S. Aetpaeva, Yu. E. Kapelyushin, Yu. M. Kovalev, M. A. Shestakov

South Ural State University, Chelyabinsk, Russian Federation

Abstract: This paper analyses the influence of mathematical models of chemical transformation on the ignition of methane-oxygen mixtures. The results of the analysis prove that, despite the widespread use of methane combustion processes for practical purposes and a fairly large number of publications, the development of kinetic schemes for methane combustion is still relevant. Using the example of solving the problem of determining the induction period of ignition of a methane-oxygen mixture in an adiabatic reactor, various kinetic schemes for methane ignition were tested in the work: two one-stage, one three-stage schemes and a scheme consisting of 156 reactions. The most accurate description of the experimental data on the delay times of an adiabatic explosion can be obtained only by using a more complex kinetics of methane oxidation, and the simplified kinetic mechanisms considered give overestimated temperatures of the mixture consisting of methane oxidation products.

Keywords: mathematical modeling, combustion and explosion, induction period.

UDC: 544.45

MSC: 80A25, 80A30

Received: 01.04.2025

Language: English

DOI: 10.14529/jcem250201



© Steklov Math. Inst. of RAS, 2025