Reaction-diffusion pulses: A combustion model

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Abstract

We focus on a reaction-diffusion approach proposed recently for experiments on combustion processes, where the heat released by combustion follows first-order reaction kinetics. This case allows us to perform an exhaustive analytical study. Specifically, we obtain the exact expressions for the speed of the thermal pulses, their maximum temperature and the condition of self-sustenance. Finally, we propose two generalizations of the model, namely, the case of several reactants burning together, and that of time-delayed heat conduction. We find an excellent agreement between our analytical results and simulations.
Original languageEnglish
Pages (from-to)6609-6621
JournalJournal of Physics A: Mathematical and General
Volume37
DOIs
Publication statusPublished - 2 Jul 2004

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