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Combustion dynamics in steady compressible flows

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2008
auteur(s) Berti Stefano; Vergni Davide; Vulpiani Angelo
journal (abréviation) Europhysics Letters (Europhys Lett)
volume (numéro) 83 (5)
numéro de papier 54003
  
résumé 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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