Premixed flames, from linear regime to non linear complex dynamics
Basile Radisson  1@  , Muhammad Tayyab  2@  , Pierre Boivin  2@  , Bruno Denet  1@  , Christophe Almarcha  1@  
1 : Institut de Recherche sur les Phénomènes Hors Equilibre  (IRPHE)  -  Website
Aix Marseille Université : UMR7342, Ecole Centrale de Marseille : UMR7342, Centre National de la Recherche Scientifique : UMR7342
Technopole de Chateau-Gombert - 49 rue Joliot Curie - BP 146 - 13384 MARSEILLE cedex 13 -  France
2 : Laboratoire de Mécanique, Modélisation et Procédés Propres  (M2P2)  -  Website
Aix Marseille Université : UMR7340, Ecole Centrale de Marseille : UMR7340, Centre National de la Recherche Scientifique : UMR7340
Technopôle de Château-Gombert38, rue Frédéric Joliot-Curie13 451 Marseille cedex 13 -  France

A premixed flame is a thin reactive layer that propagates into a reactive mixture and eventually folds due to hydrodynamic instabilities. Both linear destabilization and non linear evolution are studied theoretically, numerically with a Lattice Boltzmann Method, and experimentally in a Hele-Shaw cell.
We estimate the exact evolution at any time and for any initial condition, by taking into consideration all the roots of the dispersion relation in the linear regime, and by exploring the non linear evolution in comparison with analytical pole trajectories. We demonstrate that it is experimentally possible to impose the whole evolution of the flame in the late non linear regime, up to times at which additional stochastic processes are at play. For later times, when a steady stochastic dynamics is reached, we demonstrate that it is still possible to describe precisely the size distribution of the pattern.


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