Comparative analysis of some mathematical models ignition of hydrogen-oxygen mixtures
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 16 (2023) no. 2, pp. 28-36
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

This paper presents a comparative analysis of three mathematical models of chemical transformation describing the ignition of hydrogen-oxygen mixtures. Using the example of solving the problem of determining the ignition induction period of a hydrogen-oxygen mixture in an adiabatic reactor, three kinetic schemes of hydrogen combustion were tested, consisting of sixteen, forty-four and sixty reactions, respectively.Gorenje In order to select the optimal kinetic scheme of hydrogen ignition and combustion, as well as the rate constants of chemical reactions included in the kinetic scheme, the calculation results were compared with known experimental data from different authors.Gorenje The calculations have shown that the most accurate description of experimental data on the delay times of an adiabatic explosion at high initial temperatures can be obtained using the kinetics of hydrogen oxidation, consisting of sixteen reactions. All three kinetic models of hydrogen oxidation give similar values of the mixture temperatures when the process enters the stationary mode.
Keywords: hydrogen, ignition, induction period, kinetic models.
@article{VYURU_2023_16_2_a2,
     author = {M. S. Zharylkanova and Yu. M. Kovalev and E. E. Pigasov},
     title = {Comparative analysis of some mathematical models ignition of hydrogen-oxygen mixtures},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {28--36},
     year = {2023},
     volume = {16},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2023_16_2_a2/}
}
TY  - JOUR
AU  - M. S. Zharylkanova
AU  - Yu. M. Kovalev
AU  - E. E. Pigasov
TI  - Comparative analysis of some mathematical models ignition of hydrogen-oxygen mixtures
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
PY  - 2023
SP  - 28
EP  - 36
VL  - 16
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VYURU_2023_16_2_a2/
LA  - ru
ID  - VYURU_2023_16_2_a2
ER  - 
%0 Journal Article
%A M. S. Zharylkanova
%A Yu. M. Kovalev
%A E. E. Pigasov
%T Comparative analysis of some mathematical models ignition of hydrogen-oxygen mixtures
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
%D 2023
%P 28-36
%V 16
%N 2
%U http://geodesic.mathdoc.fr/item/VYURU_2023_16_2_a2/
%G ru
%F VYURU_2023_16_2_a2
M. S. Zharylkanova; Yu. M. Kovalev; E. E. Pigasov. Comparative analysis of some mathematical models ignition of hydrogen-oxygen mixtures. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 16 (2023) no. 2, pp. 28-36. http://geodesic.mathdoc.fr/item/VYURU_2023_16_2_a2/

[1] Zel'dovich Ya.B., Barenblatt G.I., Librovich B.B., Makhiviladze G.M., Mathematical Theory of Combustion and Explosion, Nauka, M., 1980 (in Russian) | MR

[2] Polak L.S., Gol'denberg M.Ya., Levitsky L.S., Computational Methods in Chemical Kinetics, Nauka, M., 1984 (in Russian)

[3] Ryabinin V.K., “Evaluation of the Effectiveness of Programs for Solving Rigid Systems of Differential Equations in Relation to Combustion Physics Problems”, Atomic Science and Technology Issues. Series: Mathematical Modelling of Physical Processes, 2012, no. 4, 39–47 (in Russian)

[4] Ryabinin V.K., Kovalev Yu.M., “Mathematical Modelling of the Adiabatic Induction Period for Oxygen-Methane Mixtures in a Wide Range of Initial Pressures and Temperatures”, Bulletin of the South Ural State University. Series: Mathematical Modelling and Programming, 6:1 (2013), 56–71 (in Russian)

[5] Pigasov E.E., Ryabinin V.K., Kovalev Yu.M., “Mathematical Modelling of an Adiabatic Thermal Explosion for a Hydrogen Oxidation Reaction”, Bulletin of the South Ural State University. Series: Mathematical Modelling and Programming, 6:3 (2013), 130–135 (in Russian) | Zbl

[6] Gurvich L.V., Vejc I.V., Medvedev V.A., Thermodynamic properties are inherent, Nauka, M., 1978 (in Russian)

[7] Babushok V.I., Dakdancha A.N., Krakhtinova T.V., Test Examples of Modelling the Kinetics of Complex Reactions, Krasnoyarsk, 1993 (in Russian)

[8] Dimitrov V.I., Simple Kinetics, Nauka, Novosibirsk, 1982 (in Russian)

[9] R.W. Patch, “Shock Tube Measurement of Dissociation on Rates of Hydrogen”, Journal of Chemical Physics, 36:7 (1962), 1919–1924 | DOI | MR

[10] E. Schultz, J. Shepherd, Validation of Detailed Reaction Mechanisms for Detonation Simulation, Explosion Dynamics Laboratory Report, No FM99-5, 2000