Flame propagation in random media

Journal Article · Mon May 01 00:00:00 EDT 1995 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.51.4232· OSTI ID:165199

Provatas, N; Ala-Nissila, T; Grant, M; Elder, K R; Piche, L ^[1]

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1. McGill University, Physics Department and Centre for the Physics of Materials, 3600 rue University, Montreal, Quebec, H3A 2T8 (Canada)

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

• OSTI ID: 165199
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 5 Vol. 51; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
COMBUSTION KINETICS
DIFFUSION
FLAME PROPAGATION
MATHEMATICAL MODELS
MEAN-FIELD THEORY
NUMERICAL SOLUTION
PHASE TRANSFORMATIONS