Geodesic
Kinetics of chemical reactions in thermally nonequilibrium gas
Matematičeskoe modelirovanie, Tome 15 (2003) no. 6, pp. 72-82.

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Kinetics of chemical reactions without equilibrium between translational and vibrational degrees of freedom in molecules-reagents are considered as two- or multi-temperature gas (mode kinetics) with the conservation of Boltzmann distribution, and as level kinetics without Boltzmann distribution (for populations of different vibrational levels). The listings of kinetics and relaxation equations are presented. The base of models for processes in thermally nonequilibrium dissociation and chemical exchange reactions is provided in terms of the informational fund with intuitive, or empirical, or discursive models of reaction rate constants. The level kinetics models are determined with the interrelations between parameters of these models. The role of thermal nonequilibrium in a solution of chemical kinetics problems is observed. 
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S. A. Losev; A. L. Sergievskaya; E. A. Kovach; E. A. Nagnibeda; B. F. Gordietz. Kinetics of chemical reactions in thermally nonequilibrium gas. Matematičeskoe modelirovanie, Tome 15 (2003) no. 6, pp. 72-82. http://geodesic.mathdoc.fr/item/MM_2003_15_6_a12/

[1] Polak L. S., Neravnovesnaya khimicheskaya kinetika i ee primenenie, Nauka, M., 1979 | MR

[2] G. G. Chernyi, S. A. Losev (red.), Fiziko-khimicheskie protsessy v gazovoi dinamike. Spravochnik. T. 1. Dinamika fiziko-khimicheskikh protsessov v gaze i plazme, Izd-vo MGU, M., 1995

[3] Fiziko-khimicheskie protsessy v gazovoi dinamike. Spravochnik. T. 2. Fiziko-khimicheskaya kinetika i termodinamika, Nauchn.-izd. Tsentr mekhaniki, M., 2002

[4] Park C., Nonequilibrium Hypersonic Aerothermodynamics, Wiley, NY, 1990

[5] Hansen C. F., AIAA Journ., 31:11 (1993), 2047 | DOI | Zbl

[6] Hammerling P., Teare J., Kivel B., Phys. Fluids, 2:4 (1959), 422 | DOI

[7] Losev S. A., Generalov N. A., Dokl. AN SSSR, 141:5 (1961), 69

[8] Kuznetsov N. M., Dokl. AN SSSR, 202:6 (1972), 1367; 237:5 (1977), 1118

[9] Marrone P. V., Treanor C. E., Phys. Fluids, 6:9 (1963), 1215 | DOI | Zbl

[10] Knob O., Fruhauf H.-H., Jonas S., AIAA, 1992, 92–2947

[11] Jaffe R. L., Thermophys. Aspects Re-Entry Flows, NY, 1986 | Zbl

[12] Ford D. I., Johnson R. E., AIAA, 1988, 88–0461

[13] Olynic D. R., Hassan H. A., AIAA, 1992, 92–2943

[14] Rusanov V. D., Fridman A. A., Fizika khimicheski aktivnoi plazmy, Nauka, M., 1984

[15] Macheret C. O., Fridman A. A., Elkin A. A., Khimicheskaya fizika, 9:2 (1990), 174

[16] Osipov A. I., Teor. i eksp. khimiya, 2:5 (1966), 649

[17] Gordiets B. F., Osipov A. I., Shelepin L. A., Kineticheskie protsessy v gazakh i molekulyarnye lazery, Nauka, M., 1980 | MR

[18] Gordiets B. F., Sergievskaya A. L., Khim. fizika, 15 (1996)

[19] Smekhov G. D., Losev S. A., Teor. eksp. khimiya, 15:5 (1979), 492

[20] Smekhov G. D, Zhluktov S. V., Khim. fizika, 11:9 (1992), 1171

[21] Smekhov G. D., Zhluktov S. V., Khim.fizika, 12:3 (1993), 337

[22] Kuznetsov N. M., Kinetika monomolekulyarnykh reaktsii, Nauka, M., 1982

[23] Kuznetsov N. M., Sergievskaya A. L., Khim. fizika, 13:4 (1994), 15

[24] Hansen C. F., J. Chem. Phys., 95:10 (1991), 7226 | DOI

[25] Macheret S. O., Fridman A. A., Adamovich I. V. et al., AIAA, 1994, 94–1984

[26] Generalov N. A., Dis. $\dots$ doktora fiz.-mat. nauk, In-t problem mekh., 1981

[27] Chikhaoui A., Dudon J. P., Genieys S. et al., Phys. of Fluids, 12:1 (2000), 280 | DOI

[28] Ibragimova L. B., Smekhov G. D., Shatalov O. P., “Konstanty skorosti dissotsiatsii dvukhatomnykh molekul v termicheski ravnovesnykh usloviyakh”, Mekhanika zhidkosti i gaza, 1999, no. 1

[29] Ibragimova L. B., “Konstanty skorosti khimicheskikh reaktsii v vysokotemperaturnom gaze $CO_2$”, Matem. modelirovanie, 12:4 (2000), 3–19 | MR

[30] Polok L. S., Goldenberg M. Ya., Levitskii A. A., Vychislitelnye metody v khimicheskoi kinetike, Nauka, M., 1984

[31] Konoplev N. A., Stepanov A. A., Scheglov V. A., Trudy FIAN, 213, 1991, 34

[32] Banker D., “Metod klassicheskikh traektorii”, Vychislitelnye metody v fizike atomnykh i molekulyarnykh stolknovenii, Mir, M., 1974

[33] Porter R. N., Raff L. M., Dynamic molecular collisions, NY, 1976

[34] Esposito F., Capitelli M., Gorse C., Chem. Phys., 257 (2000), 193 | DOI

[35] Kuksenko B. V., Losev S. A., Dokl. AN SSSR, 185:1 (1969), 69

[36] Pogosbekian M. Ju., “Classical trajectory study of exchange reaction”, Nonequilibrium Processes and their Applications, V Intern. School-Seminar, Minsk, 2000

[37] Warnatz J., Riedel U., Schmidt R., Advanced in Hypersonic Flows. V. 2: Modeling Hypersonic Flows, Birhauser, Boston, 1992 | Zbl

[38] Starikovskii A. Yu., Dis.$\dots$ doktora fiz.-mat. nauk, Mos. fiz.-tekh. in-t, 1999

[39] Levine R. D., Manz J., “The effect of reagent energy on chemical reaction rate: An information theoretic analysis”, J. Chem. Phys., 63:10 (1975), 4280 | DOI

[40] Pollak E., “Vibrational energy consumption in endoergic atom-diatom reaction”, Chem Phys., 22 (1977), 151 | DOI

[41] Levine R. D., “Information theory approach to molecular reaction dynamics”, Ann. Sci. Phys. Chem., 29 (1978), 59 | DOI

[42] Vasilev G. K., Makarov E. F., Talroze V. L., Khimiya plazmy, Vyp. 9, Energoizdat, M., 1982, 3

[43] Starik A. M., Dautov N. G., “Vliyanie kolebatelnogo vozbuzhdeniya molekul na dinamiku detonatsionnogo goreniya smesi $H_2$ $+$ vozdukh za udarnymi volnami”, Teplofizika vysokikh temperatur, 34:5 (1996), 737

[44] Kustova E. V., Nagnibeda E. A., “Pourovnevoe opisanie techenii gaza s silnoi kolebatelnoi i khimicheskoi neravnovesnostyu”, Matem. modelirovanie, 11:2 (1999), 89–104 | MR

[45] Kustova E. V., Nagnibeda E. A., “Transport properties of a reacting gas mixture with strong vibrational and chemical nonequilibrium”, Chemical Physics, 233 (1998), 57 | DOI

[46] Kustova E. V., Nagnibeda E. A., Chikhaoui A., “On the accuracy of non-equilibrium transport coefficients calculations”, Chemical Physics, 270:3 (2001), 459 | DOI

[47] Gordiets B. F., Losev S. A., Sergievskaya A. L., Kovach E. A., “Rate Constants of Endothermic Exchange Reactions with Vibrationally Exited Molecules”, Modern Problems of Combustion and its Applications. IV International school-seminar, Minsk, 2001, 116–118