Skip to main content
SpringerLink
Log in

Non-dimensionalized distances and limits for the transition of deflagration to detonation

  • Original article
  • Published:
Shock Waves Aims and scope Submit manuscript

Abstract

This experimental work investigates the possibility to non-dimensionalize the limits and the distances of the deflagration-to-detonation transition process (DDT). The deflagration was ignited using jets of hot gases generated by the impact of a Chapman–Jouguet detonation on a multi-perforated plate. The tube was 1 m long with a square cross section \(40\times 40\)  mm\(^2\). The reactive mixtures were the stoichiometric compositions of hydrogen, methane, and oxygen (\(1-x\))\(\hbox {H}_2 + x\hbox {CH}_4 + 1/2(1 + 3x)\hbox {O}_2\) with the composition parameter x ranging from 0 to 1. The initial pressure \(p_0\) was varied from 12 to 35 kPa, and the initial temperature was 294 K. The widths of the detonation cells and the conditions and distances for DDT were obtained as functions of x, \(p_0\), the thickness of the plate, and the number and diameter of its perforations. The cell width was used as the reference length. The non-dimensional DDT distances correlate well with the non-dimensional number representing the surface re-ignition effect in the form of a concave increasing function. The non-dimensional DDT limits appear to be independent of the surface dissipation phenomena in the perforations. These trends are found to be independent of the regularity of the detonation cells. DDT processes are very dependent on the system configuration and the ignition conditions, but our analysis suggests that the proper selection of non-dimensional numbers based on the system characteristics can predict the DDT limits and distances to a reasonable approximation.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

Availability of data and materials

The data that support the findings of this study are available from the corresponding author upon reasonable request.

References

  1. Ciccarelli, G., Dorofeev, S.: Flame acceleration and transition to detonation in ducts. Prog. Energy Combust. Sci. 34, 499–550 (2008). https://doi.org/10.1016/j.pecs.2007.11.002

    Article  Google Scholar 

  2. Kuznetsov, M.S., Matsukov, I., Alekseev, V.I., Breitung, W., Dorofeev S.: Effect of boundary layer on flame acceleration and DDT. CDROM. 20th International Colloquium on the Dynamics of Explosions and Reactive Systems, Montreal (2005)

  3. Kuznetsov, M.S., Alekseev, V.I., Matsukov, I.: DDT in a smooth tube filled with a hydrogen-oxygen mixture. Shock Waves 14, 205–215 (2005). https://doi.org/10.1007/s00193-005-0265-6

    Article  Google Scholar 

  4. Yanez, J., Kuznetsov, M.S.: Experimental study and theoretical analysis of a ‘strange wave’. Combust. Flame. 167, 494–496 (2016). https://doi.org/10.1016/j.combustflame.2016.02.004

    Article  Google Scholar 

  5. Ssu, H.W., Wu, M.H.: Fomation and characterisation of composite reaction-shock clusters in narrow channels. Proc. Combust. Inst. 38, 3473–3480 (2021). https://doi.org/10.1016/j.proci.2020.07.069

    Article  Google Scholar 

  6. Ballossier, Y., Virot, F., Melguizo-Gavilanes, J.: Strange wave formation and detonation onset in narrow channels. J. Loss Prev. Process Ind. 72, 104535 (2021). https://doi.org/10.1016/j.jlp.2021.104535

    Article  Google Scholar 

  7. Ballossier, Y., Virot, F., Melguizo-Gavilanes, J.: Flame propagation and acceleration in narrow channels: sensitivity to facility specific parameters. Shock Waves 31, 307–321 (2021). https://doi.org/10.1007/s00193-021-01015-9

    Article  Google Scholar 

  8. Ali Cherif, M., Shcherbanev, S., Starikovskaia, S., Vidal, P.: Effect of non-equilibrium plasma on decreasing the detonation cell size. Combust. Flame. 217, 1–3 (2021). https://doi.org/10.1016/j.combustflame.2020.03.014

    Article  Google Scholar 

  9. Short, M., Sharpe, G.J.: Pulsating instability of detonation with a two-step chain-branching reaction model: theory and numerics. Combust. Theory Model. 7, 401–416 (2013). https://doi.org/10.1088/1364-7830/7/2/311

    Article  MathSciNet  MATH  Google Scholar 

  10. Radulescu, M.I., Sharpe, G.J., Bradley, D.: A universal parameter quantifying hazards, detonability and hot spot formation: the \(\chi \) number. Proceedings of the Seventh International Seminar on Fire and Explosion Hazards, Singapore (2013)

  11. Chao, J.: Critical deflagration waves that lead to the onset of detonation. PhD Thesis, McGill University. Montreal, DC, Canada (2006)

  12. Radulescu, M.I., Sharpe, G.J., Lee, J.H.J., Kiyanda, C.B., Higgins, A.J., Hanson, R.K.: The ignition mechanism in irregular structure gaseous detonations. Proc. Combust. Inst. 30, 1859–1867 (2005)

    Article  Google Scholar 

  13. Kuznetsov, M.S., Alekseev, V.I., Dorofeev, S.B.: Comparison of critical conditions for DDT in regular and irregular cellular detonation systems. Shock Waves 10, 217–223 (2000). https://doi.org/10.1007/s001930050009

    Article  Google Scholar 

  14. Maley, L., Bhattacharjee, R., Lau-Chapdelaine, S.M., Radulescu, M.I.: Influence of hydrodynamic instabilities on the propagation mechanism of fast flames. Proc. Combust. Inst. 35, 2117–2126 (2015)

    Article  Google Scholar 

  15. Obara, T., Sentanuhady, J., Tsukada, Y., Ohyagi, S.: Reignition process of detonation wave behind a slit-plate. Shock Waves 18, 63–83 (2008). https://doi.org/10.1007/s00193-008-0147-9

    Article  Google Scholar 

  16. Bhattacharjee, R.R., Lau-Chapdelaine, S.S.M., Maines, G., Maley, L., Radulescu, M.I.: Detonation re-initiation mechanism following the Mach reflection of a quenched detonation. Proc. Combust. Inst. 34, 1893–1901 (2013)

    Article  Google Scholar 

  17. Ciccarelli, G., Boccio, J.L.: Detonation wave propagation through a single orifice plate ina circular tube. Twenty-Seventh Symposium (International) on Combustion, 2233–2239 (1998)

  18. Zhang, Z., Wang, C., Luo, X., Guo, Y., Rui, S., Guo, W.: Effect of perforated plate with high blockage rate on detonation re-initiation in H2–O2–Ar mixture. Int. J. Hydrog. Energy. 46(42), 2208–2222 (2021). https://doi.org/10.1016/j.ijhydene.2021.04.025

    Article  Google Scholar 

  19. Medvedev, S.P., Khomik, S.V., Olivier, H., Polenov, A.N., Bartenev, A.M., Gelfand, B.E.: Hydrogen detonation and fast deflagration triggered by turbulent jet of combustion products. Shock Waves 14, 193–203 (2005). https://doi.org/10.1007/s00193-005-0264-7

  20. Sentanuhady, J., Tsukada, Y., Yoshihashi, T., Obara, T., Ohyagi, S.: Re-initiation of detonation waves behind a perforated plate. 20th International Colloquium on the Dynamics of Explosion and Reactive Systems, vol. 20, Montreal, pp. 1–4 (2005)

  21. Grondin, J.S., Lee, J.H.S.: Experimental observation of the onset of detonation downstream of a perforated plate. Shock Waves 20, 381–386 (2010). https://doi.org/10.1007/s00193-010-0267-x

    Article  Google Scholar 

  22. Khomik, S.V., Veyssiere, B., Medvedev, S.P., Montassier, V., Olivier, V.: Limits and mechanism of detonation re-initiation behind a multi-orifice plate. Shock Waves 22, 199–205 (2012). https://doi.org/10.1007/s00193-012-0358-y

    Article  Google Scholar 

  23. Khomik, S.V., Veyssiere, B., Medvedev, S.P., Montassier, V., Agafonov, G.L., Silnikov, M.V.: On some conditions for detonation initiation downstream of a perforated plate. Shock Waves 23, 207–211 (2013). https://doi.org/10.1007/s00193-012-0409-4

    Article  Google Scholar 

  24. Khomik, S.V., Medvedev, S.P., Veyssiere, B., Olivier, H., Maksimova, O.G., Silkikov, M.V.: Initiation and suppression of explosive processes in hydrogen-containing mixtures by means of permeable barriers. Russ. Chem. Bull. 63, 1666–1676 (2014). https://doi.org/10.1007/s11172-014-0652-1

  25. Manzhalei, V.I., Mitrofanov, V.V., Subbotin, V.A.: Measurement of inhomogeneities of a detonation front in gas mixtures at elevated pressures. Combust. Explos. Shock Waves 10, 89–95 (1974). https://doi.org/10.1007/BF01463793

    Article  Google Scholar 

  26. Strehlow, R.: Investigation of the structure of detonation waves in gases. Astronautica Acta. 15, 345–357 (1970)

    Google Scholar 

  27. Monnier, V., Rodriguez, V., Vidal, P., Zitoun, R.: Experimental analysis of cellular detonations: regularity and 3D patterns depending on the geometry of the confinement. Extended Abstract Accepted for Oral Presentation to the 28th International Colloquium on the Dynamics of Explosion and Reactive Systems, Napoli (2022)

  28. Monnier, V., Rodriguez, V., Vidal, P., Zitoun, R.: An analysis of three-dimensional patterns of experimental detonation cells. Submitted to Combustion and Flame (2022)

Download references

Acknowledgements

This work was supported by a CPER-FEDER Project of Région Nouvelle Aquitaine and the French National Agency (ANR) under the project ANR-21-CE05-0002-01.

Author information

Authors and Affiliations

  1. Institut Pprime, UPR 3346 CNRS, ENSMA, BP 40109, 86961, Futuroscope-Chasseneuil, France

    V. Rodriguez, V. Monnier, P. Vidal & R. Zitoun

Authors
  1. V. Rodriguez
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. Monnier
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. P. Vidal
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. R. Zitoun
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. Rodriguez.

Additional information

Communicated by G. Ciccarelli.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rodriguez, V., Monnier, V., Vidal, P. et al. Non-dimensionalized distances and limits for the transition of deflagration to detonation. Shock Waves 32, 417–425 (2022). https://doi.org/10.1007/s00193-022-01088-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00193-022-01088-0

Keywords

Search

Navigation