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Determination of Critical Conditions for Detonation Initiation in a Finite Volume by a Converging Shock Wave

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Combustion, Explosion and Shock Waves Aims and scope

Abstract

Direct initiation of spherical and cylindrical detonation in a stoichiometric hydrogen–air mixture under normal conditions by a collapsing low-pressure region (cavity) in a space bounded by a rigid shell is considered. The study of the flow with allowance for the actual mechanism of chemical reactions was performed using the finite-difference method based on the Godunov scheme, with a moving computational grid and explicit capturing of the leading shock wave and contact surface. It is established that, for a fixed pressure in the collapsing region and for its radius equal to or exceeding the known critical radius for an unbounded space, there exists a minimum (critical) shell radius, on exceeding which a detonation wave emerges in the flow field under study. In the case of spherical symmetry, the excess internal energy of the spherical layer between the shell and the low-pressure region to be spent on initiation of detonation burning attains a minimum value that far exceeds the critical energy for detonation initiation by a TNT charge in an unbounded space. Key words: discontinuity decay, hydrogen–air mixture, detonation, shock wave, critical initiation energy.

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REFERENCES

  1. Ya. B. Zel'dovich, S. M. Kogarko, and N. N. Simonov, “Experimental study of spherical gas detonation," Zh. Tekh. Fiz., 26, No. 8, 1744–1769 (1956).

    Google Scholar 

  2. S. M. Kogarko, V. V. Adushkin, and A. G. Lyamin, “An experimental study of spherical detonation in gaseous mixtures," Nauch.-Tekh. Probl. Goreniya Vzryva, 1, No. 2, 22–35 (1965).

    Google Scholar 

  3. J. H. Lee, “Initiation of gaseous detonation," Ann. Rev. Phys. Chem., 28, 75–104 (1977).

    Google Scholar 

  4. V. A. Levin and V. V. Markov, “Initiation of detonation by concentrated release of energy," Combust. Expl. Shock Waves, 11, No. 4, 529–536 (1975).

    Google Scholar 

  5. V. A. Levin, V. V. Markov, and S. F. Osinkin, “Modeling of detonation initiated in an inflammable gas mixture by an electric discharge," Khim. Fiz., 3, No. 4, 611–613 (1984).

    Google Scholar 

  6. A. A. Borisov, V. M. Zamanskii, V. V. Lizyanskii, et al., “Estimates of the critical energy for initiation of gaseous detonation from the ignition delay," Khim. Fiz., 5, No. 12, 1683–1689 (1986).

    Google Scholar 

  7. V. A. Levin, V. V. Markov, and S. F. Osinkin, “Direct initiation of detonation in a hydrogen-oxygen mixture diluted with nitrogen," Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 6, 151–156 (1992).

  8. V. A. Levin, V. V. Markov, and S. F. Osinkin, “Initiation of detonation in hydrogen-air mixture by explosion of a spherical TNT charge," Combust. Expl. Shock Waves, 31, No. 2, 207–210 (1995).

    Google Scholar 

  9. V. A. Mikhel'son, Normal Ignition Velocity of Detonating Gaseous Mixtures [in Russian], Universitet. Tipograf., Moscow (1890).

    Google Scholar 

  10. V. A. Levin, V. V. Markov, and T. A. Zhuravskaya, “Direct initiation of detonation in hydrogen-air mixtures by a converging shock wave," in: Control of Detonation Processes, Elex-KM Publ., Moscow (2000), pp. 112–114.

    Google Scholar 

  11. R. Takai, K. Yoneda, and T. Hikita, “Study of detonation wave structure," in: Proc. of the 15th Int. Symp. on Combustion, Pittsburgh (1975), pp. 69–78.

  12. A. V. Gurvich, V. A. Medvedev, G. A. Khachkuruzov, et al., Thermodynamic Properties of Individual Substances [in Russian], Vol. 2, Nauka, Moscow (1982).

    Google Scholar 

  13. S. K. Godunov, A. V. Zabrodin, et al., Numerical Solution of Multidimensional Problems in Gas Dynamics [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  14. G. Guderley, “Starke kugelige und zylindrische Verdichtungsstösse in der Nähe des Kugelmittelpunktes bzw der Zylinderachse," Luftfahrtforschung, 19, No. 9, 302 (1942).

    Google Scholar 

  15. K. P. Stanyukovich, Unsteady Flow of a Continuum Medium [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  16. V. A. Levin and T. A. Zhuravskaya, “Formation of blast waves as a result of a low pressure domain decomposition," Shock Waves, 9, No. 3, 159–164 (1999).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mechanics at the Lomonosov Moscow State University, Moscow, 119192

    V. A. Levin, S. F. Osinkin & T. A. Zhuravskaya

  2. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, 119991

    V. V. Markov

Authors
  1. V. A. Levin
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  2. V. V. Markov
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  3. S. F. Osinkin
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  4. T. A. Zhuravskaya
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Levin, V.A., Markov, V.V., Osinkin, S.F. et al. Determination of Critical Conditions for Detonation Initiation in a Finite Volume by a Converging Shock Wave. Combustion, Explosion, and Shock Waves 38, 693–699 (2002). https://doi.org/10.1023/A:1021100613526

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