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Stationary propagation of an exothermic-reaction front in a condensed medium

  • A. P. Aldushin
Article

Abstract

The problem of the propagation of an exothermic-reaction front in a condensed medium has been examined in a number of reports [1–8], in which various statements of the problem have been analyzed, the conditions of existence and uniqueness of a solution determined, and different approximate methods of determining the propagation velocity of the front suggested. In [1–6] the examination was conducted for a specific class of heat-release functions corresponding to the kinetics of exothermic transformation in homogeneous condensed systems. The propagation of the reaction front in heterogeneous sytems (condensed mixtures) was studied in [7, 8] for particular forms of the heat-release function corresponding to certain simplifying assumptions concerning the structure of the heterogeneous medium. In connection with the complexity of the structures of real condensed systems [9–11] and the diversity of the kinetic laws of interaction, in the present report the available results on a broader class of heat-release functions are generalized, and the possible approximate methods of determining the propagation velocity are analyzed.

Keywords

Mathematical Modeling Mechanical Engineer Stationary Propagation Industrial Mathematic Specific Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

  1. 1.
    S. S. Novikov and Yu. S. Ryazantsev, “Analysis of mathematical models of combustion of the condensed phase,” Dokl. Akad. Nauk SSSR,157, No. 5 (1964).Google Scholar
  2. 2.
    S. S. Novikov and Yu. S. Ryazantsev, “Theory of combustion of condensed systems,” Dokl. Akad. Nauk SSSR,157, No. 6 (1964).Google Scholar
  3. 3.
    S. S. Novikov. and Yu. S. Ryazantsev, “Theory of the stationary propagation velocity of an exothermic-reaction front in a condensed medium,” Zh. Prikl. Mekhan. Tekh. Fiz., No. 3 (1965).Google Scholar
  4. 4.
    B. I. Khaikin and A. G. Merzhanov, “Theory of the thermal propagation of a chemical reaction front,” Fiz. Goren. Vzryva,2, No. 3 (1968).Google Scholar
  5. 5.
    D. A. Vaganov and S. I. Khudyaev, “On one stationary problem of combustion theory,” Fiz. Goren. Vzryva,5, No. 2 (1969).Google Scholar
  6. 6.
    V. S. Berman and Yu. S. Ryazantsev, “Application of the method of joining asymptotic expansions to the calculation of the stationary thermal propagation of an exothermic-reaction front in a condensed medium,” Zh. Prikl. Mekhan. Tekh. Fiz., No. 5 (1972).Google Scholar
  7. 7.
    A. P. Aldushin, A. G. Merzhanov, and B. I. Khaikin, “Some properties of condensed systems containing refractory reaction products,” Dokl. Akad. Nauk SSSR,204, No. 5 (1972).Google Scholar
  8. 8.
    A. P. Aldushin, T. M. Martem'yanova, A. G. Merzhanov, B. I. Khaikin, and K. G. Shkadinskii, “Propagation of an exothermic-reaction front in condensed mixtures with interaction of the components through a layer of refractory product,” Fiz. Goren. Vzryva,8, No. 2 (1972).Google Scholar
  9. 9.
    Yu. L. Pliner and G. F. Ignatenko, Recovery of Metal Oxides of Aluminum [in Russian], Metallurgiya, Moscow (1967).Google Scholar
  10. 10.
    Thermometallic Processes in Chemistry and Metallurgy. Materials of Conference [in Russian], Nauka, Novosibirsk (1971).Google Scholar
  11. 11.
    A. G. Merzhanov and I. P. Borovinskaya, “Self-propagating high-temperature synthesis of refractory inorganic compounds,” Dokl. Akad. Nauk SSSR,204, No. 2 (1972).Google Scholar
  12. 12.
    A. P. Aldushin and B. I. Khaikin, “Propagation of a combustion front during reactive diffusion in condensed mixtures,” in: Eleventh All-Union Conference on Problems of Vaporization, Combustion, and Gasdynamics of Dispersed Systems, Materials of Conference [in Russian], Izd. Odessk. Un-ta, Odessa (1972).Google Scholar
  13. 13.
    Ya. B. Zel'dovich, “Theory of flame propagation,” Zh. Fiz. Khimii,22, No. 1 (1948).Google Scholar
  14. 14.
    D. A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics [in Russian], Nauka, Moscow (1967).Google Scholar
  15. 15.
    P. P. Budnikov and A. M. Ginstling, Reactions in Mixtures of Solid Substances [in Russian], Stroiizdat, Moscow (1971).Google Scholar
  16. 16.
    The Oxidation of Metals, Vol. 1. Theoretical Foundations [in Russian], Metallurgiya, Moscow (1968).Google Scholar

Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • A. P. Aldushin
    • 1
  1. 1.Moscow

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