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Discrete Model of Combustion of a Donor–Acceptor Mixture

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Combustion, Explosion, and Shock Waves Aims and scope

Abstract

The numerical simulation method is used to analyze the influence of a unit cell size on the burning rate of a donor–acceptor system. The cell size determines the fragmentation of a combustion wave. It is determined during calculations that, with an increase in the unit cell size, the average burning rate of the sample decreases. The combustion limits of a cellular system with external heat removal from the sample surface are determined: an increase in the unit cell size contributes to expansion of the combustion limits of the sample. The principal possibility of the synthesis in a chemical furnace for the cellular formation of the structure of the reacting system is shown.

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REFERENCES

  1. A. S. Rogachev and A. S. Mukas’yan, “Experimental Verification of Discrete Models for Combustion of Microheterogeneous Compositions Forming Condensed Combustion Products (Review)," Fiz. Goreniya Vzryva 51 (1), 66–76 (2015) [Combust., Expl., Shock Waves51 (1), 53–62 (2015)].

  2. P. S. Grinchuk and O. S. Rabinovich, “Percolation Phase Transition in Combustion of Heterogeneous Mixtures," Fiz. Goreniya Vzryva40 (4), 41–53 (2004) [Combust., Expl., Shock Waves40 (4), 408–418 (2004)].

  3. P. S. Grinchuk, “Combustion of Heterogeneous Systems with a Stochastic Spatial Structure near the Propagation Limits," Inzh.-Fiz. Zh. 86 (4), 819–831 (2013)J. Eng. Phys. Thermophys. 86 (4), 875–887 (2013)].

  4. P. M. Krishenik, S. A. Rogachev, and K. G. Shkadinsky, “Unsteady Transformations in Thin Two-Component Films: A Model Taking Into Account Random Particle Size Distribution," Int. J. SHS 21 (2), 75–82 (2012).

  5. J. M. Pauls, C. E. Shuck, A. S. Rogachev, and A. S. Mukasyan, “Micro-Heterogeneous Regimes for Gasless Combustion of Composite Materials," Combust. Sci. Technol. 182 (8), 1009–1028 (2010).

  6. A. G. Merzhanov, “Thermally Coupled Processes of Self-Propagating High-Temperature Synthesis," Dokl. Akad. Nauk 434(4), 489–492 (2010).

  7. G. I. Ksandopulo and A. N. Baidel’dinova, “Combustion in a System of Conjugated Layers and High-Temperature Synthesis of Materials," Zh. Prikl. Khim. 77 (3), 370–374 (2004) [Russian J. of Appl. Chem. 77 (3), 364–368 (2004)].

  8. A. A. Samarskii and B. D. Moiseenko, “Cost-Effective Shock Capturing Scheme for a Multidimensional Stefan Problem," Zh. Vychisl. Mat. Mat. Fiz. 5 (5), 816–827 (1965).

  9. B. G. Prokofiev and V. K. Smolyakov, “Gasless Combustion of a System of Thermally Coupled Layers," Fiz. Goreniya Vzryva52 (1), 70–75 (2016) [Combust., Expl., Shock Waves52 (1), 62–66 (2016)].

  10. A. G. Merzhanov and B. I. Khaikin, Theory of Combustion Waves in Homogeneous Media (Izd. Inst. Strukt. Makrokinet. Probl. Materialoved., Chernogolovka, 1992) [in Russian].

  11. V. G. Prokof’ev, A. V. Pisklov, and V. K. Smolyakov, “Effect of a Heat-Conducting Element on the Gasless Combustion of Cylindrical Samples under Nonadiabatic Conditions," Fiz. Goreniya Vzryva43 (1), 66–71 (2007) [Combust., Expl., Shock Waves43 (1), 56–61 (2007)].

  12. M. Plaud, S. Gallier, and M. Morel, “Simulations of Heterogeneous Propellant Combustion: Effect of Particle Orientation and Shape," Proc. Combust. Inst. 35, 2447–2454 (2015).

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Correspondence to V. G. Prokof’ev.

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Prokof’ev, V. Discrete Model of Combustion of a Donor–Acceptor Mixture. Combust Explos Shock Waves 56, 142–147 (2020). https://doi.org/10.1134/S0010508220020045

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  • DOI: https://doi.org/10.1134/S0010508220020045

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