Skip to main content
Log in

Effect of the Phase Transition on the Ignition Process

  • Published:
Combustion, Explosion and Shock Waves Aims and scope

Abstract

A direct relation in the form of a first‐order differential equation is obtained between the phase‐transformation depth (phase‐boundary position) and the Frank‐Kamenetskii parameter characterizing the intensity of chemical heat release. As a particular case, this equation yields a solution of the problem obtained previously for cylindrical and plane‐parallel reactors. The presence of a stable intermediate position of the interphase boundary is generalized to symmetric regions of an arbitrary (even fractional) dimension, which appears to have some physical meaning.

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

REFERENCES

  1. S. I. Khudyaev and A. M. Stolin, “Analysis of self-ignition conditions in a cylindrical volume in the frontal phase transformation,” Khim. Fiz., 3, No. 11, 1616-1621 (1984).

    Google Scholar 

  2. S. I. Khudyaev, A. M. Stolin, and S. V. Maklakov, “Thermal explosion under phase transformation conditions,” Combust. Expl. Shock Waves, 19, No. 5, 610-614 (1983).

    Google Scholar 

  3. D. A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  4. A. I. Volpert and S. I. Khudyaev, Analysis in Classes of Discontinuous Functions and Equations of Mathematical Physics [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  5. S. I. Khudyaev, “Some estimates of eigenfunctions of spherically symmetric problems,” in: Numerical Methods of Solving Problems of Mathematical Physics [in Russian], Nauka, Moscow (1966), pp. 68-74.

    Google Scholar 

  6. S. A. Bostandzhiyan, A. G. Merzhanov, and S. I. Khudyaev, “Hydrodynamic thermal explosion,” Dokl. Akad. Nauk SSSR, 163, No. 1, 133-136 (1965).

    Google Scholar 

  7. S. A. Bostandzhiyan, A. G. Merzhanov, and S. I. Khudyaev, “Some problems of nonisothermal steady flow of a viscous liquid,” J. Appl. Mech. Tech. Phys., No. 5, 30-33 (1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khudyaev, S.I. Effect of the Phase Transition on the Ignition Process. Combustion, Explosion, and Shock Waves 39, 644–649 (2003). https://doi.org/10.1023/B:CESW.0000007676.33964.03

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:CESW.0000007676.33964.03

Navigation