Acta Mechanica Sinica

, Volume 23, Issue 4, pp 343–349 | Cite as

Detonation initiation developing from the Richtmyer–Meshkov instability

Research Paper

Abstract

Detonation initiation resulting from the Richtmyer–Meshkov instability is investigated numerically in the configuration of the shock/spark-induced-deflagration interaction in a combustive gas mixture. Two-dimensional multi-species Navier–Stokes equations implemented with the detailed chemical reaction model are solved with the dispersion-controlled dissipative scheme. Numerical results show that the spark can create a blast wave and ignite deflagrations. Then, the deflagration waves are enhanced due to the Richtmyer–Meshkov instability, which provides detonation initiations with local environment conditions. By examining the deflagration fronts, two kinds of the initiation mechanisms are identified. One is referred to as the deflagration front acceleration with the help of the weak shock wave, occurring on the convex surfaces, and the other is the hot spot explosion deriving from the deflagration front focusing, occurring on the concave surfaces.

Keywords

Hot spot Deflagration front acceleration Detonation initiation Richtmyer–Meshkov instability 

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References

  1. 1.
    Urtiew P., Oppenheim A.K. (1966). Experimental observations of the transition to detonation in an exploding gas. Proc. R. Soc. Lond. A 295: 13–18 CrossRefGoogle Scholar
  2. 2.
    Lee J.H.S., Moen I.O. (1980). The mechanism of transition from deflagration to detonation in vapor cloud explosions. Prog. Energy Combust. Sci. 6: 359–389 CrossRefGoogle Scholar
  3. 3.
    Oran E.S., Khokhlov A.M. (1999). Deflagrations, hot spots and the transition to detonation. Phil. Trans. R. Soc. Lond. A 357: 3539–3551 MATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    Khokhlov A.M., Oran E.S., Thomas G.O. (1999). Numerical simulation of deflagration-to-detonation transition: the role of shock–flame interactions in turbulent flames. Combust. Flame 117: 323–339 CrossRefGoogle Scholar
  5. 5.
    Lee, J.H.S.: Detonation waves in gaseous explosives. In: Ben-Dor G, Igra O, Elperin T (eds) Handbook of Shock Waves, vol. 3, pp. 309–415. Academic, San Diego (2001)Google Scholar
  6. 6.
    Thomas G.O., Jones A. (2000). Some observations of the jet initiation of detonation. Combust. Flame 120: 392–398 CrossRefGoogle Scholar
  7. 7.
    Khokhlov A.M., Oran E.S. (1999). Numerical simulation of detonation initiation in a flame brush: the role of hot spots. Combust. Flame 119: 400–416 CrossRefGoogle Scholar
  8. 8.
    Brown C.J., Thomas G.O. (1999). Experimental studies of shock-induced ignition and transition to detonation in ethylene and propane mixtures. Combust. Flame 117: 861–870 CrossRefGoogle Scholar
  9. 9.
    Kaplan C.R., Oran E.S. (1981). Mechanism of ignition and detonation formation in propane-air mixtures. Combust. Sci. Tech. 80: 185–205 CrossRefGoogle Scholar
  10. 10.
    Chan C.K. (1995). Collision of a shock wave with obstacles in a combustible mixture. Combust. Flame 100: 341–348 CrossRefGoogle Scholar
  11. 11.
    Brown C.J., Thomas G.O. (2000). Experimental studies of ignition and transition to detonation induced by the reflection and diffraction of shock waves. Shock Waves 10: 23–32 CrossRefGoogle Scholar
  12. 12.
    Gelfand B.E., Khomik S.V., Bartenev A.M., (2000). Detonation and deflagration initiation at the focusing of shock waves in combustible gaseous mixture. Shock Waves 10: 197–204 CrossRefGoogle Scholar
  13. 13.
    McBride, B.J., Zehe, M.J., Gordon, S.: NASA glenn coefficients for calculating thermodynamic properties of individual species. NASA TP 2002–211556 (2002)Google Scholar
  14. 14.
    Jiang Z. (2004). On dispersion-controlled principles for non-oscillatory shock-capturing schemes. Acta Mech. Sin. 20: 1–15 Google Scholar
  15. 15.
    Lee J.H.S., Higgins A.J. (1999). Comments on criteria for direct initiation of detonation. Phil. Trans. R. Soc. Lond. A 357: 3503–3521 MATHCrossRefMathSciNetGoogle Scholar
  16. 16.
    Kee, R.J., Rupley, F.M., Meeks, E., et al.: Chemkin-III: a fortran chemical kinetics package for the analysis of gas-phase chemical and plasma kinetics. UC-405, SAND96-8216, May 1996, Sandia National Laboratories, Livermore, CAGoogle Scholar
  17. 17.
    Brown P.N., Byrne G.D., (1989). VODE, a variable-coefficient ode solver. SIAM J. Sci. Stat. Comput. 10: 1038–1051 MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.LHD, Institute of MechanicsCASBeijingChina

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