Coordinatefree description of corrugated flames with realistic density drop at the front
Abstract
The complete set of hydrodynamic equations for a corrugated flame front is reduced to a system of coordinatefree equations at the front using the fact that the vorticity effects remain relatively weak even for corrugated flames. It is demonstrated how small but finite flame thickness may be taken into account in the equations. Similar equations are obtained for turbulent burning in the flamelet regime. The equations for a turbulent corrugated flame are consistent with the Taylor hypothesis of “stationary” external turbulence.
 Publication:

Physical Review E
 Pub Date:
 August 2003
 DOI:
 10.1103/PhysRevE.68.026312
 arXiv:
 arXiv:1210.7927
 Bibcode:
 2003PhRvE..68b6312B
 Keywords:

 47.20.k;
 47.27.i;
 82.33.Vx;
 Flow instabilities;
 Turbulent flows;
 Reactions in flames combustion and explosions;
 Mathematical Physics;
 Physics  Fluid Dynamics
 EPrint:
 24 pages, 2 figures