Combustion dynamics in steady compressible flows

Details Combustion dynamics in steady compressible flows Combustion dynamics in steady compressible flows

2008-07-03

arxiv.org/abs/0807.0542v1

Europhys. Lett. 83, 54003 (2008)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 5 figures

Scientific paper

10.1209/0295-5075/83/54003

We study the evolution of a reactive field advected by a one-dimensional compressible velocity field and subject to an ignition-type nonlinearity. In the limit of small molecular diffusivity the problem can be described by a spatially discretized system, and this allows for an efficient numerical simulation. If the initial field profile is supported in a region of size l < lc one has quenching, i.e., flame extinction, where lc is a characteristic length-scale depending on the system parameters (reacting time, molecular diffusivity and velocity field). We derive an expression for lc in terms of these parameters and relate our results to those obtained by other authors for different flow settings.

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