Combination of micro- and macroscopic descriptions of the kinetics of chemical reactions and processes of vibrational energy exchange in a multicomponent gas mixture
Chemical and vibrational kinetics equations for a multicomponent reacting gas mixture constructed by combining microscopic (level-by-level) and macroscopic (mode) descriptions are presented. A mixture of diatomic molecules, anharmonic oscillators, which interact with each other and other generally polyatomic components is treated as a subsystem described microscopically, that is, in the form of equations of balance of vibrational state populations. The subsystem of polyatomic components is considered macroscopically, that is, in the form of equations for component concentrations and mean vibrational mode energies. The kinetic equations obtained this way for a system as a whole correctly describe interactions between components considered microscopically and macroscopically.
Keywordsmulticomponent gas mixture chemical reactions vibrational nonequilibrium anharmonic oscillator population of vibrational states harmonic oscillator vibrational modes of polyatomic molecules
Unable to display preview. Download preview PDF.
- 4.C. Park, Nonequilibrium Hypersonic Aerothermodynamics (Wiley, New York, 1990).Google Scholar
- 5.A. S. Bashkin, V. I. Igoshin, A. N. Oraevskii, and V. A. Shcheglov, Chemical Lasers (Nauka, Moscow, 1982) [in Russian].Google Scholar
- 6.S. A. Losev, Gas-Dynamic Lasers (Nauka, Moscow, 1977) [in Russian].Google Scholar
- 7.K. Smith and R. Thompson, Computer Modeling of Gas Lasers (Plenum Press, New York, 1978; Mir, Moscow, 1981).Google Scholar
- 8.A. S. Biryukov and B. F. Gordiets, Prikl. Mekh. Teor. Fiz., No. 6, 29 (1972).Google Scholar
- 9.V. M. Vasil’ev, S. V. Kulikov, and O. V. Skrebkov, Prikl. Mekh. Teor. Fiz., No. 4, 13 (1977).Google Scholar
- 11.Nonequilibrium Vibrational Kinetics, Ed. by M. Capitelli (Springer, Berlin, Heidelberg, New York, Tokio, 1986; Mir, Moscow, 1989).Google Scholar
- 12.N. M. Kuznetsov, Dokl. Akad. Nauk SSSR 202, 1467 (1972).Google Scholar
- 13.N. M. Kuznetsov, Prikl. Mekh. Teor. Fiz., No. 3, 46 (1972).Google Scholar
- 14.E. E. Nikitin and A. I. Osipov, in Results of Science and Engineering, Ser. Kinetics and Catalysis (VINITI, Moscow, 1977), Vol. 4 [in Russian].Google Scholar