Abstract
A mathematical model was constructed for the nonisothermal synthesis of precursors in a mixture of two reagents during mechanical treatment in mills. The model takes into account the grinding and agglomeration of particles, the formation of a reaction interface, the kinetics of chemical transformation, the change in the excess energy in the components of the mixture and temperature.
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V. K. Smolyakov, O. V. Lapshin, and V. V. Boldyrev, “Mathematical model of mechanochemical synthesis in the macroscopic approximation,” Theor. Osnovy Khim. Tekhnol., 42, No. 1, 57–62 (2008).
V. K. Smolyakov, O. V. Lapshin, and V. V. Boldyrev, “Nonisothermal dynamics of mechanochemical synthesis in heterogeneous systems,” Theor. Osnovy Khim. Tekhnol., 42, No. 2, 1–10 (2008).
A. V. Perov and A. A. Vasilyeva, “Kinetics of grinding of binary mixtures in ball mills,” Gorn. Zh., No. 7, 69–70 (1961).
G. S. Khodakov, Physics of Grinding [in Russian], Nauka, Moscow (1972).
V. V. Boldyrev, Experimental Methods in Mechanochemistry of Solid Inorganic Substances [in Russian], Nauka, Novosibirsk (1983).
M. A. Korchagin, T. F. Grigor’eva, A. P. Barinova, and N. Z. Lyakhov, “Solid-state regime of self-propagating high-temperature synthesis,” Dokl. Akad. Nauk, 372, No. 1, 40–42 (2000).
M. B. Biver, “On the thermodynamics and kinetics of recovery,” in: Creep and Recovery [in Russian], Gos. Nauch.-Tekh. Izd. Lit. Chern. Tsvet. Metallurg., Moscow (1961), pp. 21–61.
M. A. Korchagin, T. F. Grigor’eva, A. P. Barinova, and N. Z. Lyakhov, “The effect of mechanical treatment on the rate and limits of combustion in SHS processes,” Int. J. SHS, 9, No. 3, 307–320 (2000).
V. K. Smolyakov, O. V. Lapshin, and Yu. V. Maksimov, “Mechanochemical synthesis of precursors (Part II). Determination of effective kinetic constants,” Gorenie Plazmakhim., 7, No. 1, 31–36 (2009).
A. A. Samarskii, Theory of Difference Schemes[in Russian], Nauka, Moscow (1977).
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Translated from Fizika Goreniya i Vzryva, Vol. 47, No. 5, pp. 63–74, September–October, 2011.
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Lapshin, O.V., Smolyakov, V.K. Modeling the synthesis of mechanocomposites in binary systems. Combust Explos Shock Waves 47, 553–562 (2011). https://doi.org/10.1134/S0010508211050091
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DOI: https://doi.org/10.1134/S0010508211050091