Diffusion Limited Propagation Of Burning Fronts
Author(s)
M. Conti & U. M. B. Marconi
Abstract
In this numerical study we simulate burning propagation when the limiting
transport mechanisms is the diffusion of oxygen and heat. This situation may be
representative of smouldering combustion in the forest ground, when the intricate
vegetation structure prevents the onset of large scale convection. The interplay
between the diffusion processes results in a dynamical instability with a tendency
of the burning front to develop cellular or dendritic patterns. The length scale
associated with the observed patterns results to be a combination of the diffusion
lengths associated with the two competing processes.
Keywords: flames propagation, pattern instability.
1 Introduction
Flame propagation is a complex process involving chemical reactions and transport
phenomena [1]. The advancing of the combustion front is sustained by the selfproduced
heat and is rate limited by the availability of both fuel and oxidant.
In general, the transport phenomena in the environment where the burning front
propagates involve both heat and oxygen convection. However, in the smoldering
combustion of the forest ground, when the intricate vegetation structure prevents
the onset of large scale convection processes, diffusion may become the rate
limiting mechanism. Diffusion limited growth is the situation observed in a
variety of growth phenomena such as solidification processes, viscous fingering,
electrochemical deposition, diffusion limited aggregation, dielectric breakdown
[2]. In such phenomena the front of the growing phase is morphologically unstable
and evolves into a complex pattern, with production of fingers, grooves, sidebranches
and dendritic structures. For many of these phenomena typical properties
such as the velocity of the front and the length of the patterns can be related to
well studied quantities such as surface tension, chemical potential differences,
Keywords
flames propagation, pattern instability
Related Book
Other papers in this volume
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