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

J. Comp. Eng. Math., 2023 Volume 10, Issue 2, Pages 63–72 (Mi jcem239)

Engineering Mathematics

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

M. S. Zharylkanovaa, Yu. M. Kovaleva, E. E. Pigasovba

a South Ural State University, Chelyabinsk, Russian Federation
b Federal State Unitary Enterprise « Russian Federal Nuclear Center -- Zababakhin All-Russia Research Institute of Technical Physics», Snezhinsk, Russian Federation

Abstract: This paper presents an analysis of the influence of mathematical models of chemical transformation on the combustion of hydrogen-oxygen mixtures. The results of the analysis show that, despite the widespread use of hydrogen combustion processes for practical purposes and a fairly large number of publications, the development of kinetic schemes for hydrogen combustion is still relevant at the present time. In this work, using the example of solving the problem of determining the induction period of combustion of a hydrogen-oxygen mixture in an adiabatic reactor, we test various kinetic schemes of hydrogen combustion: two one-stage schemes consisting of sixteen reactions. It is shown that the most accurate description of the experimental data on the delay times of an adiabatic explosion can be obtained using a more complex kinetics of hydrogen oxidation, and the simplification of the mechanism to one overall reaction is suitable only for approximate estimates.

Keywords: mathematical modelling, combustion and explosion, period of occurrence.

UDC: 544.45

MSC: 80A25, 80A30

Received: 13.03.2023

Language: English

DOI: 10.14529/jcem230206



© Steklov Math. Inst. of RAS, 2025