Abstract
The process of diffraction of a plane detonation wave in a uniform stoichiometric suspension of small aluminum particles in oxygen on a backward-facing step in a plane channel is studied. The effect of the particle size and channel geometry on the wave pattern and wave-propagation regimes is analyzed. Analogies with the corresponding flows in gas mixtures are established. Typical differences caused by the processes of interaction between the phases are found.
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G. D. Roy, S. M. Frolov., A. A. Borisov, and D. W. Netzer, “Pulse detonation propulsion: challenges, current status, and future perspective,” Prog. Energ. Combust. Sci., 30, 545–672 (2004).
J. E. Shepherd, E. Schultz, and R. Akbar, “Detonation diffraction,” in: G. Ball, R. Hillier, and G. Roberts (eds.), Proc. 22nd Int. Symp. on Shock Waves, Vol. 1 (2000), pp. 41–48.
E.G. Pantow, M. Fischer, and Th. Kratzel, “Decoupling and recoupling of detonation waves associated with sudden expansion,” Shock Waves, 6, 131–137 (1996).
M. Arienti and J. E. Shepherd, “A numerical study of detonation diffraction,” J. Fluid Mech., 529, 117–146 (2005).
V. A. Levin, V. V. Markov, T. A. Zhuravskaya, and S. F. Osinkin, “Initiation and propagation of detonation in channels of complex shape,” in: G. Roy and S. Frolov (eds.), Pulse and Continuous Detonation Propulsion, Torus, Moscow (2006), pp. 97–106.
A. V. Fedorov, Yu. V. Kratova, and T. A. Khmel’, “Numerical study of shock-wave diffraction in variable-section channels in gas suspensions,” Combust., Expl., Shock Waves, 44, No. 1, 76–85 (2008).
A. G. Kutushev and L. V. Shorokhova, “Numerical study of combustion and detonation of air suspensions of a unitary fuel in suddenly expanding tubes,” Khim. Fiz., 22, No. 8, 94–99 (2003).
A. K. Kapila, D. W. Schwendeman, J. B. Bdzil, and W. D. Henshaw, “A study of detonation diffraction in the ignition-and-growth model,” Combust. Theory Model., No. 11, 781–822 (2007).
A. V. Fedorov and T. A. Khmel’, “Numerical simulation of formation of cellular heterogeneous detonation of aluminum particles in oxygen,” Combust., Expl., Shock Waves, 41, No. 4, 435–448 (2005).
T. A. Khmel’ and A. V. Fedorov, “Numerical simulation of detonation initiation with a shock wave entering a cloud of aluminum particles,” Combust., Expl., Shock Waves, 38, No. 1, 101–108 (2002).
V. M. Boiko, V. P. Kiselev, S. P. Kiselev, A. N. Papyrin, S. V. Poplavskii, and V. M. Fomin, “Interaction of a shock wave with a cloud of particles,” Combust., Expl., Shock Waves, 32, No. 2, 191–203 (1996).
A. V. Fedorov, “Structure of heterogeneous detonation of aluminum particles dispersed in oxygen,” Combust., Expl., Shock Waves, 28, No. 3, 277–286 (1992).
A. V. Fedorov, V. M. Fomin, and T. A. Khmel’, “Nonequilibrium model of steady detonations in aluminum particle-oxygen suspensions,” Shock Waves, 9, No. 5, 313–318 (1999).
T. A. Khmel’ and A. V. Fedorov, “Interaction of a shock wave with a cloud of aluminum particles in a channel,” Combust., Expl., Shock Waves, 38, No. 2, 206–214 (2002).
Ya. B. Zel’dovich, S. M. Kogarko, and N. N. Simonov, “Experimental study of spherical gas detonation,” Zh. Tekh. Fiz., 26, No. 8, 1744–1769 (1956).
R. Hillier, “Computation of shock wave diffraction at a ninety degrees convex edge,” Shock Waves, 1, 89–98 (1991).
H. O. Barthel, “Predicted spacings in hydrogen-oxygenargon detonations,” Phys. Fluids, 17, No. 8, 1547–1553 (1974).
A. V. Fedorov and T. A. Khmel’, “Formation and degeneration of cellular detonation in bidisperse gas suspensions of aluminum particles,” Combust., Expl., Shock Waves, 44, No. 3, 343–353 (2008).
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Translated from Fizika Goreniya i Vzryva, Vol. 45, No. 5, pp. 95–107, September–October, 2009.
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Kratova, Y.V., Fedorov, A.V. & Khmel’, T.A. Diffraction of a plane detonation wave on a back-facing step in a gas suspension. Combust Explos Shock Waves 45, 591–602 (2009). https://doi.org/10.1007/s10573-009-0071-z
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DOI: https://doi.org/10.1007/s10573-009-0071-z