Abstract
The model of a multivelocity heterogeneous medium is used for one- and two-dimensional numerical calculations of the deflagration-to-detonation transition for charges of a porous explosive enclosed in a casing. Calculation results are compared with experimental data. Depending on the charge diameter, different explosion regimes — detonation and low-velocity explosive transformation — are registered in both the two-dimensional calculations and experiments.
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References
A. F. Belyaev, V. K. Bobolev, A. I. Korotkov, et al.Deflagration-to-Detonation Transition for Condensed Systems [in Russian], Nauka, Moscow (1973).
S. M. Bakhrakh, B. N. Krasnov, S. V. Tsykin, and C. A. Shaverdov, “Numerical study of deflagration-to-detonation transition for PETN,”Fiz. Goreniya Vzryva,32, No. 6, 96–107 (1996).
R. I. Nigmatulin,Fundamentals of the Mechanics of Heterogeneous Media [in Russian], Nauka, Moscow (1978).
R. I. Nigmatulin,Dynamics of Multiphase Media, Part 1, Hemisphere Publ., New York (1991).
P. S. Gough and F. J. Swarts, “Modeling heterogeneous two-phase reacting flow,”AIAA J. 17, No. 1, 17–25 (1979).
S. J. Hoffman and H. Kriert, “Fluid Mechanics of deflagration-to-detonation transition in porous explosive and propellant,”AIAA J.,19, No. 12, 1571–1579 (1981).
D. Pilcher, M. Beckstead, L. Christensen, and A. King, in:Proc. 6th Symp. (Int.) on Detonation, August 22–27, Coronado, CA (1976).
I. Sh. Akhatov and P. B. Vainshtein, “Unsteady regimes of combustion of porous powders,”Fiz. Goreniya Vzryva,19, No. 3, 53–61 (1983).
I. Sh. Akhatov and P. B. Vainshtein, “Deflagration-to-detonation transition in porous explosives,”Fiz. Goreniya Vzryva,20, No. 1, 70–77 (1984).
H. J. Verbeek, “Modelling of DDT in granular explosives,” in:The Eighth Symp. (Int.) on Detonation, Albuquerque, New Mexico, July 15–19 (1971).
M. R. Baer and J. W. Nunziato, “Compressive combustion of granular materials induced by low-velocity impact,” in:The Ninth Symp. (Int.) on Detonation, Columbia River Portland, Oregon, August 28–September 1 (1989).
R. Saurel, M. Larini, and J. C. Loraud, “Numerical modelling of deflagration-to-detonation transition produced by laser impact on granular explosives,”Comp. Fluid Dyn. J.,1, No. 2, 155–174 (1992).
A. N. Ishchenko and Yu. P. Khomenko, “Effect of force interphase interaction on the characteristics of convective combustion of porous media,”Fiz. Goreniya Vzryva,33, No. 4, 65–77 (1997).
A. K. Kapila, S. F. Son, and D. S. Stewart, “Two-phase modeling of DDT: Structure of the velocity-relaxation zone,”Phys. Fluids,9, No. 12, 3885–3897 (1997).
A. I. Korotkov, A. A. Sulimov, and A. V. Obmenin, et al. “Transition from combustion to detonation in porous explosives,”Fiz. Goreniya Vzryva,5, No. 3, 315–325 (1969).
A. V. Obmenin, A. I. Korotkov, A. A. Sulimov, and V. F. Dubovitsky, “Propagation character of predetonation regimes in porous explosives,”Fiz. Goreniya Vzryva,5, No. 4, 461–470 (1969).
N. V. Ashchepkov and V. V. Sten’gatch, “Predetonation stage of deflagration-to-detonation transition in PETN,”Fiz. Goreniya Vzryva,10, No. 6, 873–877 (1974).
Yu. V. Yaninkin, A. A. Shanin, N. P. Kovalev, et al., “The ÉGAK program package for calculations of two-dimensional multicomponent media,”Vopr. Atom. Nauki Tekh., Ser. Mat. Model. Fiz. Prots., No. 4, 69–75 (1993).
S. N. Bakhrakh, Yu. P. Glagoleva, M. S. Samigulin, et al., “Calculation of gas-dynamic flows using the method of concentrations,”Dokl. Akad. Nauk SSSR,257, No. 3, 566–569 (1981).
N. S. Darova, O. A. Dibirov, G. V. Zharova, et al., “The ÉGAK program package. Lagrangian-Eulerian method for calculations of two-dimensional gas-dynamic flows of multicomponent media,”Vopr. Atom. Nauki Tekh., Ser. Mat. Model. Fiz. Prots., No. 2, 51–58 (1994).
M. S. Samigulin, Yu. V. Yanilkin, E. S. Gavrilova, and A. A. Shanin, “A method for numerical modeling of two-dimensional flows of disperse media in a continuum approximation,”Vopr. Atom. Nauki Tekh., Ser. Mat. Model. Fiz. Prots., No. 1, 3–8 (1995).
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Translated fromFizika Goreniya i Vzryva, Vol. 36, No. 3, pp. 97–106, May–June, 2000.
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Dibirov, O.A., Tsikin, S.V. & Yanilkin, Y.V. Two-dimensional numerical simulation of deflagration-to-detonation transition for a porous explosive using a model of a multivelocity heterogeneous medium. Combust Explos Shock Waves 36, 374–383 (2000). https://doi.org/10.1007/BF02699390
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DOI: https://doi.org/10.1007/BF02699390