Flame propagation in random media

Abstract

We introduce a phase-field model to describe the dynamics of a self-sustaining propagating combustion front within a medium of randomly distributed reactants. Numerical simulations of this model show that a flame front exists for reactant concentration $c>c^{\ast }>0$, while its vanishing at $c^{\ast }$ is consistent with mean-field percolation theory. For $c>c^{\ast }$, we find that the interface associated with the diffuse combustion zone exhibits kinetic roughening characteristic of the Kardar-Parisi-Zhang equation.

4, LR5413

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