Flame propagation in random media

Details Flame propagation in random media Flame propagation in random media

1994-05-13

arxiv.org/abs/cond-mat/9405040v1

Physics

Condensed Matter

4, LR5413

Scientific paper

10.1103/PhysRevE.51.4232

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 $c > c^* > 0$, while its vanishing at $c^*$ is consistent with mean-field percolation theory. For $c > c^*$, we find that the interface associated with the diffuse combustion zone exhibits kinetic roughening characteristic of the Kardar-Parisi-Zhang equation.

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