Abstract
Based on the mathematical model of a reacting two-phase medium in the two-velocity, two-temperature approximation, the process of planar shock wave entering a cloud of aluminum particles is numerically studied. The incident shock wave may have either a rectangular or a triangular profile, i.e., it may be accompanied by a rarefaction wave. An analysis of numerical data allowed us to determine conditions of possible establishment of a steady detonation regime in the cloud. Scenarios of initiation and types of detonation flows in the cloud are determined as functions of the amplitude of the incident shock wave and initiation energy. Criteria of detonation initiation for various fractions of particles are obtained, which express the dependence of the energy stored in the shock wave on its Mach number.
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REFERENCES
W. A. Strauss, “Investigation of the detonation of aluminum powder-oxygen mixtures” AIAA J., 6, No. 12, 1753–1761 (1968).
A. J. Tulis and J. R. Selman, “Detonation tube studies of aluminum particles dispersed in air” in: Proc. 19th Int. Symp. on Combustion (Haifa, Aug. 8–13, 1982), The Combustion Inst., Pittsburgh, Pa (1982), pp. 652–662.
A. J. Tulis and J. R. Selman, “Unconfined aluminum particle two-phase detonation in air” in: J. R. Bowen, N. Manson, A. K. Openheim, and R. I. Soloukhin (eds.), Progress in Astronautics and Aeronautics, Vol. 94: Dynamics of Shock Waves, Explosions, and Detonations (1985), pp. 277–292.
A. A. Borisov, B. A. Khasainov, B. Veyssiere, et al., “Detonation of aluminum suspensions in air and oxygen” Khim. Fiz., 10, No. 2, 250–272 (1991).
A. V. Fedorov and E. V. Tetenov, “Initiation of the heterogeneous detonation of aluminum particles dispersed in oxygen” Fiz. Goreniya Vzryva, 28, No. 3, 83–89 (1992).
A. V. Fedorov and T. A. Khmel', “Numerical simulation of shock-wave initiation of heterogeneous detonation in aerosuspensions of aluminum particles” Fiz. Goreniya Vzryva, 35, No. 3, 81–88 (1999).
A. V. Fedorov, “Structure of heterogeneous detonation of aluminum particles dispersed in oxygen” Fiz. Goreniya Vzryva, 28, No. 3, 72–83 (1992).
A. V. Fedorov and T. A. Khmel', “Types and stability of detonation ows of aluminum particles in oxygen” Fiz. Goreniya Vzryva, 32, No. 2, 74–85 (1996).
A. V. Fedorov and T. A. Khmel', “Mathematical modeling of detonation of an aluminum dust in oxygen with allowance for velocity nonequilibrium of the particles” Fiz. Goreniya Vzryva, 33, No. 6, 80–91 (1997).
A. V. Fedorov and T. A. Khmel', “Interaction of detonation and rarefaction waves in aluminum particles dispersed in oxygen” Fiz. Goreniya Vzryva, 33, No. 2, 102–110 (1997).
A. V. Fedorov and T. A. Khmel', “Determination of nonideal self-sustained detonation regimes of aluminum particles in air” Fiz. Goreniya Vzryva, 34, No. 5, 95–102 (1998).
W. Ingignoli, B. Veyssiere, and B. A. Khasainov, “Study of detonation initiation in unconfined aluminum dust clouds” in: G. Roy et al. (eds.), Gaseous and Heterogeneous Detonations. Science to Applications, ENAS Publishers, Moscow (1999), pp. 337–350.
V. M. Boiko, V. P. Kiselev, S. P. Kiselev, et al., “Interaction of a shock wave with a cloud of particles” Fiz. Goreniya Vzryva, 32, No. 2, 86–99 (1996).
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Fedorov, A.V., Khmel', T.A. Numerical Simulation of Detonation Initiation with a Shock Wave Entering a Cloud of Aluminum Particles. Combustion, Explosion, and Shock Waves 38, 101–108 (2002). https://doi.org/10.1023/A:1014070320498
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DOI: https://doi.org/10.1023/A:1014070320498