Uniqueness of traveling fronts in premixed flames with stepwise ignition-temperature kinetics and fractional reaction order
Langue
en
Article de revue
Ce document a été publié dans
Physica D: Nonlinear Phenomena. 2023-11-15, vol. 454, p. 133859
Elsevier
Résumé en anglais
In this paper, we consider a reaction-diffusion system describing the propagation of flames under the assumption of ignition-temperature kinetics and fractional reaction order. It was shown in [3] that this system admits ...Lire la suite >
In this paper, we consider a reaction-diffusion system describing the propagation of flames under the assumption of ignition-temperature kinetics and fractional reaction order. It was shown in [3] that this system admits a traveling front solution. In the present work, we show that this traveling front is unique up to translations. We also study some qualitative properties of this solution using the combination of formal asymptotics and numerics. Our findings allow conjecture that the velocity of the propagation of the flame front is a decreasing function of all of the parameters of the problem: ignition temperature, reaction order and an inverse of the Lewis number.< Réduire
Mots clés en anglais
Reaction-diffusion systems
traveling front solution
uniqueness of solution
Origine
Importé de halUnités de recherche