On the Dynamics of Nearly-Extinguished Non-Adiabatic Cellular Flames

30 March 1983

journal article
research article
Published by Taylor & Francis in Combustion Science and Technology

Vol. 31 (1-2) , 75-90
https://doi.org/10.1080/00102208308923631

Abstract

We study the dynamics of a nearly-extinguished and weakly unstable non-adiabalic flame For simplicity sake, the analysis is conducted in the framework of a thermal-diffusional flame model Using high activation energy techniques and bifurcation methods, we derive a non-linear partial differential evolution equation for the changes of front shape and velocity By solving it approximately in a particular case, we show that the spontaneously growing front corrugations, due to diffusive instability, are sufficient to prevent flame quenching: a diffusively unstable flame front can still propagate with heat-loss intensities that would quench a planar one.

Keywords

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