Abstract
Results of investigations performed by the authors in the field of theoretical and numerical modeling of heterogeneous detonation of reacting gas suspensions since 2005 are systematized.
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A. V. Fedorov, V. M. Fomin, and T. A. Khmel’, “Theoretical and numerical study of detonation processes in gas suspensions with aluminum particles,” Combust., Expl., Shock Waves, 42, No. 6, 735–745 (2006).
M. A. Nettleton and R. Stirling, “Detonation in suspensions of coal dust in oxygen,” Combust. Flame, 21, 307–314 (1973).
D. H. Edwards, P. J. Fearnley, and M. A. Nettleton, “Detonation limits of clouds of coal dust in mixtures of oxygen and nitrogen,” Combust., Expl., Shock Waves, 23, No. 2, 239–245 (1987).
A. V. Fedorov and T. A. Khmel’, “Mathematical simulation of detonation processes in a coal-particle suspension,” Combust., Expl., Shock Waves, 38, No. 6, 700–708 (2002).
A. A. Borisov, B. E. Gelfand, S. A. Tsyganov, et al., “Ignition of dusts behind shock waves,” Khim. Fiz., No. 8, 1127–1128 (1983).
M. Sichel, S. M. Baek, C. W. Kauffman, et al., “The shock wave ignition of dusts,” AIAA J., 23, 1375–1380 (1985).
V. M. Boiko, A. N. Papyrin, and S. V. Poplavskii, “Effect of volatiles on ignition delay in coal dust gas suspensions within shock waves,” Combust., Expl., Shock Waves, 27, No. 2, 223–231 (1991).
V. M. Boiko, A. N. Papyrin, and S. V. Poplavskii, “Mechanism of dust ignition in incident shock waves,” Combust., Expl., Shock Waves, 29, No. 3, 389–394 (1993).
A. V. Fedorov and T. A. Khmel’, “Mathematical simulation of heterogeneous detonation of coal dust in oxygen with allowance for the ignition stage,” Combust., Expl., Shock Waves, 41, No. 1, 78–87 (2005).
L. D. Smoot, M. D. Horton, and G. A. Williams, “Propagation of laminar pulverized coal-air flames,” in: Proc. 16th Int. Symp. on Combustion, The Combustion Inst., Pittsburgh (1977), pp. 375–387.
V. V. Koren’kov and V. N. Okhitin, “Numerical determination of effect of explosive density on parameters of air shock waves,”J. Appl. Mech. Tech. Phys., 24, No. 3, 403–406 (1983).
S. K. Ubhayakar, D. B. Stickler, C. W. von Rosenberg, Jr., and R. E. Gannon, “Rapid devolatilization of pulverized coal in hot combustion gases,” in: Proc. 16th Symp. (Int.) on Combustion, The Combustion Inst., Pittsburgh (1977), pp. 427–436.
T. W. Lester, W. R. Seeker, and J. F. Merklin, “The influence of oxygen and total pressure on the surface oxidation rate of bituminous coal,” in: Proc. 18th Int. Symp. on Combustion, The Combustion Inst., Pittsburgh (1981), pp. 1257–1265.
I. W. Smith, “The combustion rates of coal chars: A review,” in: Proc. Nineteenth Symp. (Int.) on Combustion, The Combustion Inst., Pittsburgh (1982), pp. 11045–1065.
P. A. Libby and T. A. Blake, “Theoretical study of burning carbon particles,” Combust. Flame, 36, 139–169 (1979).
Yu. A. Gosteev and A. V. Fedorov, “Ignition of the gascoal dust mixture. Pointwise approximation,” Combust., Expl., Shock Waves, 37, No. 6, 646–654 (2001).
A. E. Medvedev, A. V. Fedorov, and V. M. Fomin, “Description of ignition and combustion of gas mixtures with solid particles by methods of mechanics of continuous media,” Combust., Expl., Shock Waves, 20, No. 2, 127–132 (1984).
A. V. Fedorov, “Structure of heterogeneous detonation of aluminum particles dispersed in oxygen,” Combust., Expl., Shock Waves, 28, No. 3, 277–286 (1992).
R. I. Nigmatulin, Dynamics of Multiphase Media, Part 1, Hemisphere Publ., New York (1991).
A. V. Fedorov and T. A. Khmel’, “Types and stability of detonation flows of aluminum particles in oxygen,” Combust., Expl., Shock Waves, 32, No. 2, 181–190 (1996).
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, “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).
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).
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).
A. V. Fedorov and T. A. Khmel’, “Structure and initiation of plane detonation waves in a bidisperse gas suspension of aluminum particles,” Combust., Expl., Shock Waves, 44, No. 2, 163–171 (2008).
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, ENAS, Moscow (1999), pp. 337–350.
F. Zhang, H. Grönig, and A. van de Ven, “DDT and detonation waves in two-phase mixtures,” Shock Waves, 11, 53–71 (2001).
F. Zhang, K. B. Gerrard, R. C. Ripley, and V. Tanguay, “Unconfined aluminum particles-air detonation,” in: Proc. 26th Int. Symp. on Shock Waves, Göttingen, Germany, July (2007), pp. 15–20.
F. Zhang, K. B. Gerrard, and R. C. Ripley, “Reaction mechanism of aluminum particles-air detonation,” in: Proc. of the 7th Int. Symp. on Hazard, Prevention, and Mitigation of Industrial Explosions (July 2008, St. Petersburg, Russia), Vol. II (2008), pp. 223–237.
K. Benkiewicz and A. K. Hayashi, “Two-dimensional numerical simulations of multi-headed detonations in oxygen-aluminum mixtures using an adaptive mesh refinement,” Shock Waves, 13, 385–402 (2003).
B. Veyssiere, B. A. Khasainov, and A. Briand, “Investigation of detonation initiation in aluminum suspensions,” Shock Waves, 18, 307–315 (2008).
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).
T. A. Khmel’, “Numerical simulation of two-dimensional detonation flows in a gas suspension of reacting solid particles,” Mat. Model., 16, No. 6, 73–77 (2004).
A. V. Fedorov and T. A. Khmel’, “Numerical technologies for studying heterogeneous detonation in gas suspensions,” Mat. Model., No. 8, 49–63 (2006).
H. O. Barthel, “Predicted spacings in hydrogen-oxygenargon detonations,” Phys. Fluids, 17, No. 8, 1547–1553 (1974).
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Translated from Fizika Goreniya i Vzryva, Vol. 45, No. 4, pp. 166–177, July–August, 2009.
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Fedorov, A.V., Fomin, V.M. & Khmel’, T.A. Mathematical modeling of heterogeneous detonation in gas suspensions of aluminum and coal-dust particles. Combust Explos Shock Waves 45, 495–505 (2009). https://doi.org/10.1007/s10573-009-0060-2
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DOI: https://doi.org/10.1007/s10573-009-0060-2