Abstract
Detonation initiation is investigated in aluminium/oxygen and aluminium/air mixtures. Critical conditions for initiation of spherical detonations are examined in analogy with the criteria defined for gaseous mixtures, which correlate critical parameters of detonation initiation to the characteristic size of the cellular structure. However, experimental data on the detonation cell size in these two-phase mixtures are very scarce, on account of the difficulty to perform large-scale experiments. Therefore, 2D numerical simulations of the detonation cellular structure have been undertaken, with the same combustion model for Al/air and Al/O2 mixtures. The cell size is found to be λ = 37.5 cm for a rich (r = 1.61) aluminium–air mixture, and λ = 7.5 cm for a stoichiometric aluminium-oxygen mixture, which is in reasonable agreement with available experimental data. Calculations performed in large-scale configurations (up to 25 m in length and 1.5 m in lateral direction) suggest that the critical initiation energy and predetonation radius for direct initiation of the unconfined detonation in the aluminium–air mixture are, respectively, 10 kg of TNT and 8 m. Moreover, numerical simulations reveal that the structure of the detonation wave behind the leading front is even more complicated than in pure gaseous mixtures, due to two-phase flow effects.
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References
Veyssiere, B.: Detonations in gas–particle mixtures. AIAA J. Propul. Power 22(6), 1269–1288 (2006)
Khasainov, B.A., Veyssiere, B.: Initiation of detonation regimes in hybrid two-phase mixtures. Shock Waves 6, 9–15 (1996)
Strauss, W.A.: Investigation of the detonation of aluminum powder–oxygen mixture. AIAA J. 6(9), 1753–1756 (1968)
Lee, J.H.S.: Dynamic parameters of gaseous detonations. Annu. Rev. Fluid Mech. 16, 311–336 (1984)
Benedick, W.B., Guirao, C.M., Knystautas, R., Lee, J.H.S.: Critical charge for the direct initiation of detonation in gaseous fuel–air mixtures. In: Bowen, J.R., Leyer, J.-C., Soloukhin, R.I.(eds) AIAA Progress in Astronautics and Aeronautics, vol. 106., pp. 181–202. AIAA, New York (1986)
Desbordes, D.: Correlation between shock flame predetonation zone size and cell spacing in critically initiated spherical detonations. AIAA Progress in Astronautics and Aeronautics, vol. 106, pp. 166--180, AIAA, New York (1986)
Ingignoli, W., Veyssiere, B., Khasainov, B.A.: Shock initiation of detonations in aluminium – oxygen mixtures. In: Roy, G.D., Frolov, S.M., Sinibaldi, J.(eds) Pulsed and Continuous Detonations, ISBN 5-94588-040-X, pp. 218–224. Torus Press, Moscow (2006)
Vasiliev, A.A., Grigoriev, V.V.: Critical conditions for gas detonations in sharply expanding channels. Fizika Gorenyia i Vzryva 16, 117–125 (1980)
Ingignoli, W., Veyssiere, B., Khasainov, B.A.: Study of detonation initiation in unconfined aluminium dust clouds. In: Roy, G.D., Frolov, S.M., Kailasanath, K., Smirnov, N.N.(eds) Gaseous and Heterogeneous Detonations, ISBN 5-89055-016-0, pp. 337–350. ENAS Publishers, Moscow (1999)
Zhang, F., Grönig, H., Van De Ven, A.: DDT and detonation waves in dust–air mixtures. Shock Waves 11, 53–71 (2001)
Tulis, A.J.: On the unconfined detonation of aluminium powder – air clouds. In: 1stInternational Colloquium on Explosibility of Industrial Dusts, Baranow, Poland, pp. 178–186 (1984)
Matsui, H.: On the measure of the relative detonation hazards of gaseous fuel-oxygen and air mixtures. In: 17th Symposium (International) on Combustion, Leeds University, Leeds, 20–25 August 1978, pp. 1269–1280 (1979)
Makeev, V.I., Gostintsev, Yu.A., Strogonov, V.V., Bokhon, Yu.A., Chernushkin, Yu.N., Kulikov, V.N.: Combustion and detonation of hydrogen-air mixtures in free spaces. Combus. Explos. Shock Waves 19(5), 548–550 (1983)
Nigmatulin, R.I.: Prikl. Matemat. Mekh. 34, 1097–1112 (1970)
Merzhanov, A.G., Grigorijev, Yu.M., Gal’Chenko, Yu.A.: Aluminium ignition. Combus. Flame 29, 1–14 (1977)
Ingignoli, W.: Etude de la formation et de la propagation des détonations dans des suspensions de particules d’aluminium en atmosphère oxydante ou réactive. Thèse de Doctorat, ENSMA, University of Poitiers, France (1999)
Price, E.W.: Combustion of metallized propellants. In: Kuo, K.K., Summerfield, M.M.(eds) Fundamentals of Solid Propellant Combustion. Progress in Astronautics and Aeronautics, vol. 90, pp. 479–513. AIAA, New York (1984)
Benkiewicz, K., Hayashi, A.K.: Two-dimensional numerical simulations of multi-headed detonations in oxygen aluminium mixtures using an adaptative mesh refinement. Shock Waves 13, 385–402 (2003)
Khmel, T.A., Fedorov, A.V.: Numerical investigation of detonation cell size dependence on flow scales in aluminum particle–oxygen suspensions. In: Roy, G.D., Berlin, A.A., Frolov, S.M., Shepherd, J.E., Tsyganov, S.A. (eds.) International Colloquium on Application of Detonations to Propulsion, St Petersburg, Russia, Torus Press, Moscow (2004)
Zhang, F., Murray, S.B., Gerrard, K.B.: Aluminium particles-air detonation at elevated pressures. Shock Waves 15, 313–324 (2006)
Zhang, F., Gerrard, K.B., Ripley, R.C., Tanguay, V.: Unconfined aluminum particles-air detonation. In: Proceedings of the 26th International Symposium on Shock Waves. July 2007, Goettingen, Germany, 15–20 (2007)
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Communicated by L. Bauwens.
This paper is based on work that was presented at the 21st International Colloquium on the Dynamics of Explosions and Reactive Systems, Poitiers, France, July 23–27, 2007.
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Veyssiere, B., Khasainov, B.A. & Briand, A. Investigation of detonation initiation in aluminium suspensions. Shock Waves 18, 307–315 (2008). https://doi.org/10.1007/s00193-008-0136-z
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DOI: https://doi.org/10.1007/s00193-008-0136-z