Combustion, Explosion and Shock Waves

, Volume 32, Issue 4, pp 420–423 | Cite as

Development of a diffusion-controlled solid-state reaction from an initial nucleus

  • A. G. Knyazeva
Article

Abstract

A mathematical model for the growth of a nucleus of a solid-state reaction product is analyzed that takes into account explicitly stresses and strains. Different regimes of the reaction course are found. The solid-state diffusion equation derived for slow reactions can be useful for describing more complex processes.

Keywords

Physical Chemistry Mathematical Model Dynamical System Diffusion Equation Slow Reaction 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    D. Delmon,Kinetics of Heterogeneous Reactions [Russian translation], Mir, Moscow (1972).Google Scholar
  2. 2.
    E. V. Boldyreva, “Feedback in solid-state chemical reactions,”Sib. Khim. Zh., No. 1, 41–50 (1991).Google Scholar
  3. 3.
    B. Ya. Lyubov,Diffusion Processes in Heterogeneous Solids [in Russian], Nauka, Moscow (1981).Google Scholar
  4. 4.
    V. S. Eremeev,Diffusion and Stresses [in Russian], Energoatomizdat, Moscow (1984).Google Scholar
  5. 5.
    A. G. Knyazeva and V. E. Zarko, “Modeling of combustion of energetic materials with chemically induced mechanical processes,”J. Propul. Power,11, 791–803 (1995).CrossRefGoogle Scholar
  6. 6.
    I. N. Frantsevich, F. F. Voronov, and S. A. Bakuta,Elastic Constants and Modulus of Metals and Nonmetals [in Russian], Naukova Dumka, Kiev (1982).Google Scholar
  7. 7.
    I. M. Dubrovskii, B. V. Egorov, and K. P. Ryaboshapka,Handbook on Physics [in Russian], Naukova Dumka, Kiev (1986).Google Scholar
  8. 8.
    A. A. Matvienko, A. A. Sidel'nikov, and V. V. Boldyrev, “Dimensional effect in the polymorphic transformation of tin due to mechanical-stress relaxation,”Fiz. Tverd. Tela,36, No. 11, 3194–3201 (1994).Google Scholar
  9. 9.
    R. Dodd, J. Eilbeck, J. Gibbson, and H. Morris (eds.),Solitons and Nonlinear Wave Equations [Russian translation], Mir, Moscow (1988).Google Scholar
  10. 10.
    G. A. Malygin, “Self-organization of dislocations and localization of slipping in plastically deformed crystals,”Fiz. Tverd. Tela,37, No. 1, 3–42 (1995).Google Scholar
  11. 11.
    A. A. Samarskii,Theory of Difference Schemes [in Russian], Nauka, Moscow (1983).Google Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • A. G. Knyazeva
    • 1
  1. 1.Tomsk State UniversityTomsk

Personalised recommendations