Bounds for the propagation speed of combustion flames

Joaquim Fort, Daniel Campos, Josep R. González, Joaquim Velayos

Research output: Contribution to journalReview articleResearchpeer-review

12 Citations (Scopus)


We focus on a combustion model for premixed flames based on two coupled equations determining the spatial dynamics of temperature and fuel density. We rewrite these equations as a classical reaction-diffusion model, so that we can apply some known methods for the prediction of lower and upper bounds to the front speed. The predictions are compared to simulations, which show that our new bounds substantially improve those following from the linearization method, used in the previous work of Fort et al (2000 J. Phys. A: Math. Gen. 33 6953). Radiative losses lead to pulses rather than fronts. We find a bound for their speed which (in contrast to the linearization one) correctly predicts the order of magnitude of the flame speed.
Original languageEnglish
Pages (from-to)7185-7198
JournalJournal of Physics A: Mathematical and General
Issue number29
Publication statusPublished - 23 Jul 2004


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