Combustion dynamics in steady compressible flowsS. 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 one has quenching, i.e., flame extinction, where is a characteristic length scale depending on the system parameters (reacting time, molecular diffusivity and velocity field). We derive an expression for 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