A system of equations that interaction of an isolated particle or a dense ensemble of particles with an oxidizing agent in the case of parabolic growth of the product layer is analytically treated in the one-temperature approximation. It is shown that a jumplike transition from the lower reacting mode (regime with a temperature maximum) to the upper reacting mode (regime with a monotonically increasing temperature) occurs with a continuously changing ignition parameter. The critical ignition parameter obtained differs from its numerically predicted value by 7%.
parabolic law phase trajectory critical conditions
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B. I. Khaikin, V. N. Bloshenko, and A. G. Merzhanov, “Ignition of metal particles,” Fiz. Goreniya Vzryva, 6, No. 4, 474–488 (1970).Google Scholar
V. I. Rozenband and E. V. Chernenko, “Calculation of the lower autoignition concentration limit of a gas suspension and a layer of metal powder,” Combust., Expl., Shock Waves, 18, No. 3, 265–271 (1982).CrossRefGoogle Scholar
E. A. Nekrasov, Yu. M. Maksimov, and A. P. Aldushin, “Calculation of critical thermal explosion conditions in hafnium-boron and tantalum-carbon systems using state diagrams,” Combust., Expl., Shock Waves, 16, No. 3, 342–347 (1980).CrossRefGoogle Scholar
D. A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics [in Russian], Nauka, Moscow (1967).Google Scholar