Approximate Expressions for the One-Temperature Non-Equilibrium Reaction Rates

被引:3
|
作者
Gorbachev, Yuriy E. [1 ]
机构
[1] Coddan Technol LLC, Res Dept, St Petersburg 197342, Russia
关键词
Physical-chemical gas-dynamics; kinetic theory; Boltzmann equation; reactive mixture; transport equations; non-equilibrium reaction rates; GAS-DYNAMIC EQUATIONS; INTERNAL DEGREES; MIXTURES;
D O I
10.1063/1.5044156
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Approximate expressions for the spatially homogeneous and spatially in homogeneous corrections to the equilibrium reaction rates obtained within the renormalization technique developed in the previous papers have been derived. Arbitral set of the chemical reactions is considered. Obtained reaction rates depend on the heat capacities of the species participation in the chemical reactions. This reflects the quasi-stationary process of the exchange of the energy between the translational and internal degrees of freedom of the reacting species.
引用
收藏
页数:4
相关论文
共 50 条
  • [1] Non-equilibrium One-temperature Reaction Rates
    Kolesnichenko, Evgeniy G.
    Gorbachev, Yuriy E.
    [J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648
  • [2] On Approximations for the One-Temperature Reaction Rates
    Gorbachev, Yu E.
    [J]. INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019, 2020, 2293
  • [3] Simulation of Relaxation Processes in Hypersonic Flows with One-Temperature Non-Equilibrium Model
    Karpenko, Anton
    Tolstoguzov, Semen
    Volkov, Konstantin
    Chernyshov, Mikhail V.
    Rees, D. Andrew S.
    [J]. FLUIDS, 2023, 8 (11)
  • [4] Non-equilibrium reaction rates and non-equilibrium effects in chemical kinetics
    Gorbachev, Yu E.
    [J]. ALL-RUSSIAN CONFERENCE XXXIV SIBERIAN THERMOPHYSICAL SEMINAR, DEDICATED TO THE 85TH ANNIVERSARY OF ACADEMICIAN A. K. REBROV, 2018, 1105
  • [5] Reaction Rates and Reaction Rate Constant Conception. One-Temperature Case
    Kolesnichenko, Evgeniy G.
    Gorbachev, Yuriy E.
    [J]. 28TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS 2012, VOLS. 1 AND 2, 2012, 1501 : 107 - 114
  • [6] ON THE NON-EQUILIBRIUM THEORY OF ABSOLUTE REACTION RATES
    HULBURT, HM
    HIRSCHFELDER, JO
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1949, 17 (10): : 964 - 968
  • [7] DSMC Predictions of Non-equilibrium Reaction Rates
    Bond, R. B.
    Gallis, M. A.
    Torczynski, J. R.
    [J]. 27TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS, 2010, PTS ONE AND TWO, 2011, 1333 : 1203 - 1208
  • [8] THE NON-EQUILIBRIUM THEORY OF ABSOLUTE RATES OF REACTION
    ZWOLINSKI, BJ
    EYRING, H
    [J]. JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1947, 69 (11) : 2702 - 2707
  • [9] Approximations for the Non-Equilibrium Reaction and Relaxation Rates
    Gorbachev, Yu. E.
    [J]. 31ST INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS (RGD31), 2019, 2132
  • [10] On the use temperature parameterized rate coefficients in the estimation of non-equilibrium reaction rates
    Shizgal, Bernie D.
    Chikhaoui, Aziz
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 365 (02) : 317 - 332