Volume 83, Number 5, September 2008
Article Number 54003
Number of page(s) 5
Section Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics
Published online 27 August 2008
EPL, 83 (2008) 54003
DOI: 10.1209/0295-5075/83/54003

Combustion dynamics in steady compressible flows

S. Berti1, D. Vergni2 and A. Vulpiani3

1  Laboratoire de Spectrométrie Physique, Université Joseph Fourier Grenoble I and CNRS BP 87, 38402 Saint Martin d'Hères, France, EU
2  Istituto Applicazioni del Calcolo (IAC) - CNR - Viale del Policlinico, 137, I-00161 Roma, Italy, EU
3  Dipartimento di Fisica, CNISM, and INFN Università di Roma "La Sapienza" P.le Aldo Moro 2, I-00185 Rome, Italy, EU

received 3 July 2008; accepted in final form 18 July 2008; published September 2008
published online 27 August 2008

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 $\ell < \ell _{c}$ one has quenching, i.e., flame extinction, where $\ell _{c}$ is a characteristic length scale depending on the system parameters (reacting time, molecular diffusivity and velocity field). We derive an expression for $\ell _{c}$ in terms of these parameters and relate our results to those obtained by other authors for different flow settings.

47.70.Fw - Chemically reactive flows.
05.60.-k - Transport processes.
05.45.-a - Nonlinear dynamics and chaos.

© EPLA 2008