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Three-dimensional cellular structure of detonations in suspensions of aluminium particles

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Abstract

Recently, we have used scarce available data on the detonation cell size in suspensions of aluminium particles in air and oxygen to adjust the kinetic parameters of our two-phase model of detonations in these mixtures. The calculated detonation cell width was derived by means of two-dimensional (2D) unsteady simulations using an assumption of cylindrical symmetry of the flow in the tube. However, in reality, the detonation cells are three-dimensional (3D). In this work, we have applied the same detonation model which is based on the continuous mechanics of two-phase flows, for 3D numerical simulations of cellular detonation structures in aluminium particle suspensions in oxygen. Reasonable agreement on the detonation cell width was obtained with the aforementioned 2D results. The range of tube diameters where detonations in \(\text{ Al/O}_2\) mixture at a given particle size and concentration would propagate in the spinning mode has been estimated (these results make a complement to our previous analysis of spinning detonations in Al/air mixtures). Coupling these results with the dependencies of detonation cell size on the mean particle diameter is of great interest for the understanding of fundamental mechanisms of detonation propagation in solid particle suspensions in gas and can help to better guide the experimental studies of detonations in aluminium suspensions. It is shown that the part of detonation wave energy used for transverse kinetic energy of both gas and particles is quite small, which explains why the propagation velocity of spinning and multi-headed detonations reasonably agrees with the ideal CJ values.

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References

  1. Zhang, F., Greilich, P., Grönig, H.: Propagation mechanism of dust detonations. Shock Waves 2, 81–88 (1992)

    Article  Google Scholar 

  2. Ingignoli, W., Veyssiòre, B., Khasainov, B.A.: Gaseous and Heterogeneous Detonations, chapter Study of detonation initiation in unconfined aluminium dust clouds, pp 337–350. ENAS Publishers, Moscow (1999) (ISBN 5-94588-040-X)

  3. Zhang, F., Gronig, H., Van de Ven, A.: DDT and detonation waves in dust-air mixtures. Shock Waves 11(1), 53–71 (2001)

    Google Scholar 

  4. Zhang, F., Gerrard, K., Ripley, R.C.: Reaction mechanism of aluminium-particle-air detonation. J. Propul. Power 25(6), 845–858 (2009)

    Google Scholar 

  5. Briand, A., Veyssière, B., Khasainov, B.: Modelling of detonation cellular structure in aluminium suspensions. Shock Waves 20, 521–529 (2010). doi:10.1007/s00193-010-0288-5

    Google Scholar 

  6. Khasainov, B.A., Veyssière, B.: Analysis of the steady double-front detonation structure for a detonable gas laden with aluminium particles. Arch. Combust. 7(3–4), 333–352 (1987)

    Google Scholar 

  7. Veyssière, B., Khasainov, B., Briand, A.: Investigation of detonation initiation in aluminium suspensions. Shock Waves 18, 307–315 (2008). doi:10.1007/s00193-008-0136-z

    Google Scholar 

  8. Virot, F., Briand, A., Khasainov, B., Veyssiére, B.: Numerical simulation of the spinning detonation in aluminium-air suspensions. In: 7th International Colloquium on Pulsed and Continuous Detonations (2010)

  9. Tsuboi, N., Hayashi, A.K., Matsumoto, Y.: Three-dimensional parallel simulation of cornstarch-oxygen two-phase detonation. Shock Waves 10(4), 277–285 (2000). doi:10.1007/s001930000054

    Article  MATH  Google Scholar 

  10. Nigmatulin, R.I.: Dynamics of multiphase media. Parts 1–2. Moscow Izdatel Nauka (1987)

  11. Lee, J.H.S.: The Detonation Phenomenon. Cambridge University Press, Cambridge (2008)

    Book  Google Scholar 

  12. Oran, E.S., Boris, J.P.: Numerical Simulation of Reactive Flow, 2nd edn. Cambridge University Press, Cambridge (2001)

    MATH  Google Scholar 

  13. Grib, A.A.: On propagation of plane shock wave. Appl. Math. Mech. 5, YIII (1944)

  14. Manson, N.: On the structure of so-called helical detonation waves in gaseous mixture. C. R. Hebd. Sceances Acad. Sci. 222, 46–48 (1946)

    Google Scholar 

  15. Fay, J.A.: A mechanical theory of spinning detonation. J. Chem. Phys. 20(6), 942–950 (1952)

    Article  Google Scholar 

  16. Chu, B.-T.: Vibration of the gaseous column behind a strong detonation wave. 1st Gas Dynamics Symposium on Areochemistry, pp. 95/111 (1956)

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Authors and Affiliations

  1. Département Fluides, Thermique, Combustion, Institut Pprime, UPR 3346 CNRS, ENSMA, 1 avenue Clément Ader, BP 40109, 86961 , Futuroscope Chasseneuil Cedex, France

    B. Khasainov, F. Virot & B. Veyssière

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  1. B. Khasainov
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  2. F. Virot
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  3. B. Veyssière
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Correspondence to B. Khasainov.

Additional information

Communicated by L. Bauwens.

This paper is based on work that was presented at the 23rd International Colloquium on the Dynamics of Explosions and Reactive System, Irvine, California, USA, July 24–29, 2011.

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Khasainov, B., Virot, F. & Veyssière, B. Three-dimensional cellular structure of detonations in suspensions of aluminium particles. Shock Waves 23, 271–282 (2013). https://doi.org/10.1007/s00193-012-0425-4

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  • DOI: https://doi.org/10.1007/s00193-012-0425-4

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