Skip to main content
Log in

Asymptotic analysis of stationary distribution of the front of a two-stage consecutive exothermic reaction in a condensed medium

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

An approximate theory of the stationary distribution of the plane front of a two-stage exothermic consecutive chemical reaction in a condensed medium is developed in the article. The method of joined asymptotic expansions is used in constructing the solutions. The ratio of the sum of the activation energies of the reactions to the final adiabatic combustion temperature is a parameter of the expansion. The characteristic limiting states of the stationary distribution of the wave corresponding to different values of the parameters figuring in the problem are shown. Approximate analytical expressions for the wave velocity and distribution of concentrations are obtained for each of the states.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. Ya. B. Zel'dovich and D. A. Frank-Kamenetskii, “Theory of thermal propagation of a flame,” Zh. Fiz. Khim.,12, No. 1 (1938).

  2. S. S. Novikov and Yu. S. Ryazantsev, “Theory of combustion of condensed systems,” Dokl. Akad. Nauk SSSR,157, No. 6 (1964).

  3. M. Van Dyke, Perturbation Methods in Fluid Mechanics, Academic Press (1964).

  4. V. S. Berman and Yu. S. Ryazantsev, “Application of the method of joined asymptotic expansions to the calculation of the stationary thermal propagation of an exothermic reaction front in a condensed medium,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 5 (1972).

  5. B. I. Khaikin, A. K. Filonenko, and S. I. Khudyaev, “Propagation of a flame when two consecutive reactions take place in a gas,” Fiz. Goreniya i Vzryva,4, No. 4, 591–594 (1968).

    Google Scholar 

  6. A. G. Merzhanov, E. I. Rumanov, and B. I. Khaikin, “Multiregion combustion of condensed systems,” Zh. Prikl. Mekh. i Tekh. Fiz., No. 6 (1972).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 1, pp. 75–87, January–February, 1973.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Berman, V.S., Ryazantsev, Y.S. Asymptotic analysis of stationary distribution of the front of a two-stage consecutive exothermic reaction in a condensed medium. J Appl Mech Tech Phys 14, 60–70 (1973). https://doi.org/10.1007/BF00850578

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00850578

Keywords

Navigation