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Combustion of heterogeneous systems with a stochastic spatial structure near the propagation limits

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Journal of Engineering Physics and Thermophysics Aims and scope

Extinction of a heterogeneous reactant mixture in the vicinity of thermal and concentration limits of propagation is considered. The consideration is based on an analysis of analytical solutions of combustion-theory problems and on their comparison with both the results of mathematical modeling and a number of experimental works on self-propagating high-temperature synthesis. It is shown that solid-phase-combustion models based on the approximation of a continuous medium are only applicable away from the extinction limits. It is demonstrated that it is fluctuations of the spatial reactant distribution that play a decisive role on the limit of propagation of a combustion wave; these fluctuations must be allowed for, among other factors, when self-sustaining combustion waves are investigated. A percolation model that enables one to explain a number of distinctive features found in the behavior of a combustion wave near the propagation limit is presented.

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  1. A.V. Luikov Heat and Mass Transfer Institute, National Academy of Sciences of Belarus, 15 P. Brovka Str., Minsk, 220072, Belarus

    P. S. Grinchuk

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Correspondence to P. S. Grinchuk.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 86, No. 4, pp. 819–831, July–August, 2013.

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Grinchuk, P.S. Combustion of heterogeneous systems with a stochastic spatial structure near the propagation limits. J Eng Phys Thermophy 86, 875–887 (2013). https://doi.org/10.1007/s10891-013-0907-y

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