Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
A non-equilibrium dissociation and vibrational relaxation model for computational fluid dynamics simulations of flows with shock waves. / Gorbachev, Yuriy; Kunova, Olga; Shoev, Georgy.
в: Physics of Fluids, Том 33, № 12, 126105, 01.12.2021.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - A non-equilibrium dissociation and vibrational relaxation model for computational fluid dynamics simulations of flows with shock waves
AU - Gorbachev, Yuriy
AU - Kunova, Olga
AU - Shoev, Georgy
N1 - Funding Information: This research was partly supported by the Russian Science Foundation (Grant No. 17–19-01375-Π). The work of O. Kunova was partially supported by the Saint Petersburg State University, Project ID 84912260. The computational resources were kindly provided by the Computational Center of the Novosibirsk State University (http://nusc.nsu.ru). Publisher Copyright: © 2021 Author(s).
PY - 2021/12/1
Y1 - 2021/12/1
N2 - Gasdynamic equations describing a vibrationally non-equilibrium flow of a chemically reacting binary mixture A 2 / A are derived within the previously proposed general approach of solving the Boltzmann equation. The obtained equations differ from the traditional ones in their expressions for the reaction and relaxation rates. Aiming to obtain analytical expressions for these rates, a cutoff harmonic oscillator model for the vibrational spectrum of A2 molecules and dissociation from the highest vibrational level are assumed. The equation for the dissociation rate describes two different dissociation regimes, determined by the dissociation rate constant at "low"temperatures and by the vibrational energy exchange rate constants at "high"temperatures, since it is limited by the vibrational energy delivery to the highest vibrational levels. A parameter for determining the appropriate regime is proposed. The derived expressions for the reaction and relaxation rates are used in computations of O2/O and N2/N mixture flows. A comparison of our results with the numerical and experimental data of other authors shows that the model used for the reaction and relaxation rates calculation should be refined, at least by considering anharmonicity effects.
AB - Gasdynamic equations describing a vibrationally non-equilibrium flow of a chemically reacting binary mixture A 2 / A are derived within the previously proposed general approach of solving the Boltzmann equation. The obtained equations differ from the traditional ones in their expressions for the reaction and relaxation rates. Aiming to obtain analytical expressions for these rates, a cutoff harmonic oscillator model for the vibrational spectrum of A2 molecules and dissociation from the highest vibrational level are assumed. The equation for the dissociation rate describes two different dissociation regimes, determined by the dissociation rate constant at "low"temperatures and by the vibrational energy exchange rate constants at "high"temperatures, since it is limited by the vibrational energy delivery to the highest vibrational levels. A parameter for determining the appropriate regime is proposed. The derived expressions for the reaction and relaxation rates are used in computations of O2/O and N2/N mixture flows. A comparison of our results with the numerical and experimental data of other authors shows that the model used for the reaction and relaxation rates calculation should be refined, at least by considering anharmonicity effects.
UR - http://www.scopus.com/inward/record.url?scp=85120753564&partnerID=8YFLogxK
U2 - 10.1063/5.0062628
DO - 10.1063/5.0062628
M3 - Article
AN - SCOPUS:85120753564
VL - 33
JO - Physics of Fluids
JF - Physics of Fluids
SN - 1070-6631
IS - 12
M1 - 126105
ER -
ID: 34929574