Linear stability analysis of laminar premixed spray flames (Q2748139)

This is very good paper. The authors present an analysis of instability to transverse perturbations of laminar premixed plane spray flames. To this end, they introduce a thermal-diffusional model of a flame front propagating through an overall fuel-rich or fuel-lean droplet-vapour-air mixture. The fuel droplets are permitted to vaporize at a finite rate so that their interaction with the flame front is accounted for. After establishing steady-state solutions by means of high activation energy asymptotics, a detailed linear stability analysis is carried out in order to determine neutral stability boundaries. Finally, the cellularity of the spray flames, with their attendant increase in flame front area, suggests a plausible rationale for those circumstances in which burning velocity enhancement, induced by the use of a spray of droplets, was observed experimentally.