Abstract
The process of explosive initiation of spherical, heterogeneous detonation waves in monodisperse, homogeneous aerocolloids of a unitary fuel is modeled mathematically. It is shown that regimes of decaying and detonating combustion of the reacting disperse mixtures are possible, depending on the initial mass concentration and initial particle size in the mixture. It is established that the laws governing the mass transfer of burning particles have a significant influence on the patterns of explosive generation and propagation of detonation waves in unitary fuel aerocolloids. The critical (maximum) diameter of the unitary fuel particles, below which the shock initiation of heterogeneous combustion is possible, is determined as a function of the particular value of their relative mass concentration in the mixture.
Similar content being viewed by others
References
P. B. Vainshtein, R. I. Nigmatulin, and V. V. Popov, “Transition of the convective combustion of unitary fuel aerocolloids to detonation,” Fiz. Goreniya Vzryva,16, No. 5, 102–106 (1980).
I. Sh. Akhatov, “Hydrodynamic problems of combustion and detonation of disperse unitary fuel systems,” Dissertation for the Degree of Candidate of Physicomathematical Sciences [in Russian], Moscow (1983).
A. G. Kutushev, “Numerical study of shock and detonation waves in gas mixtures containing solid or liquid particles,” Dissertation for the Degree of Doctor of Physicomathematical Sciences [in Russian], Tyumen (1993).
A. I. Ivandaev, A. G. Kutushev, and R. I. Nigmatulin, “Gas dynamics of multiphase media: shock and detonation waves in aerocolloids,” Itogi Nauki Tekh. Ser. Mekh. Zhidk. Gaza (VINITI),16, 209–293 (1981).
R. I. Nigmatulin, Dynamics of Multiphase Media [in Russian], Part 1, Nauka, Moscow (1987).
F. A. Williams, Combustion Theory, Addison-Wesley, Reading, MA (1965).
Ya. B. Zel'dovich, G. I. Barenblatt, V. B. Librovich, and G. M. Makhviladze, Mathematical Theory of Combustion and Explosion [in Russian], Nauka, Moscow (1980).
B. V. Novozhilov, Unsteady Combustion of Solid Rocket Fuels [in Russian], Nauka, Moscow (1973).
Kh. S. Kestenboim, G. S. Roslyakov, and L. A. Chudov, Point Detonation [in Russian], Nauka, Moscow (1974).
L. I. Sedov, Similarity and Dimensional Methods in Mechanics [in Russian], Nauka, Moscow (1977).
V. P. Korobeinikov, Problems in the Theory of Point Detonation [in Russian], Nauka, Moscow (1985).
O. M. Belotserkovskii and Yu. M. Davydov, The Particle-in-Cell Method in Gas Dynamics [in Russian], Nauka, Moscow (1982).
I. N. Zverev and N. N. Smirnov, Gas Dynamics of Combustion [in Russian], Izd. Mosk. Univ., Moscow (1987).
Additional information
Institute of Mechanics of Multiphase Systems, Siberian Branch of the Russian Academy of Sciences. Translated from Fizika Goreniya i Vzryva, Vol. 31, No. 3, pp. 83–91, May–June, 1995.
Rights and permissions
About this article
Cite this article
Ivandaev, A.I., Kutushev, A.G. & Rodionov, S.P. Explosive generation of heterogeneous detonation waves in aerocolloids of a unitary fuel. Combust Explos Shock Waves 31, 345–351 (1995). https://doi.org/10.1007/BF00742681
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00742681