Skip to main content
Log in

Determination of the critical size of a particle cloud necessary for suppression of gas detonation

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

Abstract

Conditions of detonation suppression by inserting inert particles into a reacting gas mixture through which a detonation wave propagates are considered. The pattern of the detonation flow and the scenario of its suppression are determined. The minimum length of the particle cloud that completely suppresses the detonation wave is calculated. The influence of the volume fraction of particles in the cloud on the detonation suppression efficiency is studied. The governing parameter is found to be the length of the cloud that ensures quenching of the ignition/combustion wave formed during detonation wave decomposition rather than the particle mass and the gradient of the volume fraction of particles. It is demonstrated that this length is approximately identical for different distributions of the volume fraction of particles in the cloud.

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. P. Laffitte and R. Bouchet, “Suppression of explosion waves in gaseous mixtures by means of fine powders,” in: Proc. 7th Int. Symp. on Combustion (1958).

  2. M. Wolinski and P. Wolanski, “Gaseous detonation processes in presence of inert particles,” Arch. Combust., 7, Nos. 3–4, 353–370 (1987).

    Google Scholar 

  3. P. Wolanski, J. C. Liu, C. W. Kauffmann, J. A. Nicholls, and M. Sichel, “The effects of inert particles on methane-air detonations,” Arch. Combust., 8, No. 1, 15–32 (1988).

    Google Scholar 

  4. A. A. Borisov, B. E. Gel’fand, S. A. Gubin, and S. M. Kogarko, “Effect of inert solid particles on detonation in a combustible gas mixture,” Combust., Expl., Shock Waves, 11, No. 6, 774–777 (1975).

    Article  Google Scholar 

  5. Yu. V. Kazakov, A. V. Fedorov, and V. M. Fomin, “Detonation dynamics of gas suspensions,” Preprint No. 23-87, Inst. Theor. Appl. Mech., Sib. Branch, Acad, of Sci. of the USSR, Novosibirsk (1987).

    Google Scholar 

  6. Yu. V. Kazakov, A. V. Fedorov, and V. M. Fomin, “Normal detonation regimes in relaxing media,” Combust., Expl., Shock Waves, 25, No. 1, 109–116 (1989).

    Article  Google Scholar 

  7. Yu. V. Kazakov, Yu. V. Mironov, and A. V. Fedorov, “Calculation of detonation of the gas mixture with inert solid particles,” in: Modeling in Mechanics (collected scientific papers) [in Russian], Vol. 5 (22), No. 3 (1991).

  8. A. V. Fedorov and V. M. Fomin, “Detonation of the gas mixtures with inert solid particles,” in: Proc. IUTAM Symp. on Combustion in Supersonic Flows (1997), pp. 147–191.

  9. M. V. Papalexandris, “Numerical simulation of detonations in mixtures of gases and solid particles,” J. Fluid Mech., 507, 95–142 (2004).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. P. A. Fomin and J.-R. Chen, “Effect of chemically inert particles on parameters and suppression of detonation in gases,” Combust., Expl., Shock Waves, 45, No. 3, 303–313 (2009).

    Article  Google Scholar 

  11. A. V. Fedorov, D. A. Tropin, and I. A. Bedarev, “Mathematical modeling of detonation suppression in a hydrogen-oxygen mixture by inert particles,” Combust., Expl., Shock Waves, 46, No. 3, 332–343 (2010).

    Article  Google Scholar 

  12. I. A. Bedarev and A. V. Fedorov, “Testing the method of adaptive grids by computing one-dimensional detonation waves,” Vychisl. Tekhnol., No. 3 (2009).

  13. I. A. Bedarev and A. V. Fedorov, “Comparative analysis of three mathematical models of hydrogen ignition,” Combust., Expl., Shock Waves, 42, No. 1, 19–26 (2006).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. V. Fedorov.

Additional information

__________

Translated from Fizika Goreniya i Vzryva, Vol. 47, No. 4, pp. 100–108, July–August, 2011.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fedorov, A.V., Tropin, D.A. Determination of the critical size of a particle cloud necessary for suppression of gas detonation. Combust Explos Shock Waves 47, 464–472 (2011). https://doi.org/10.1134/S0010508211040101

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0010508211040101

Keywords

Navigation