Skip to main content
SpringerLink
Log in

Estimation of critical conditions for the detonation-to-deflagration transition

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

Abstract

An estimate is proposed for the critical Mach number of the shock wave that can ensure the deflagration-to-detonation transition (DDT): Mmin ≈ 0.56M0 for expanding waves and Mmin ≈ 0.33M0 for plane waves propagating in a constant-section straight tube (M0 is the Mach number of an ideal Chapman—Jouguet detonation wave). The condition M > Mmin ensures the DDT mode, whereas only laminar or turbulent burning without the DDT is observed for lower Mach numbers. The estimate is based on the equiprobable transition from the compressed state of the initial mixture both to the detonation and to the deflagration branch of the adiabat of reaction products (with respect to the initial state of the combustible mixture).

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. A. Vasil’ev, “Near-critical regimes of gas detonation,” Doct. Dissertation in Phys.-Math. Sci., Inst. of Hydrodynamics, Sib. Div., Russian Acad. of Sci., Novosibirsk (1995).

    Google Scholar 

  2. Ya. B. Zel’dovich and A. S. Kompaneets, Detonation Theory [in Russian], Gostekhizdat, Moscow (1955).

    Google Scholar 

  3. Ya. B. Zel’dovich, “Fluctuations of the induction period in a branched chain reactions,” Dokl. Akad. Nauk SSSR, 257, No. 5, 1173–1174 (1981).

    MathSciNet  Google Scholar 

  4. B. E. Gel’fand, S. M. Frolov, and S. A. Tsyganov, “Criterion of excitation of shock and detonation waves in a reactive medium,” Khim. Fiz., 8, No. 5, 655–666 (1989).

    Google Scholar 

  5. A. A. Vasil’ev, A. I. Valishev, V. A. Vasil’ev, and L. V. Panfilova, “Combustion and detonation characteristics of hydrazine and its methyl derivatives,” Combust., Expl., Shock Waves, 36, No. 3, 358–373 (2000).

    Google Scholar 

  6. A. A. Vasil’ev, Parameters of Shock Waves in Gases [in Russian], Izd. Novosib. Gos. Univ., Novosibirsk (1990).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090

    A. A. Vasil’ev

Authors
  1. A. A. Vasil’ev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Fizika Goreniya i Vzryva, Vol. 42, No. 2, pp. 91–96, March–April, 2006.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vasil’ev, A.A. Estimation of critical conditions for the detonation-to-deflagration transition. Combust Explos Shock Waves 42, 205–209 (2006). https://doi.org/10.1007/s10573-006-0039-1

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10573-006-0039-1

Key words

Search

Navigation