Two-mode spray combustion and its simulation

It is well known that up to now the cold droplets evaporating in hot continuous gas flames are treated as the mechanism of spray combustion both in RANS modeling, LES and point-particle DNS. However, still in the 50's years of the last century, experiments indicate that the spray combustion has different modes, including brush-like droplet diffusion flame-lets and cold droplets evaporating in blue gas flames. Many years ago, the first author of this paper gave theoretical analysis of two-mode spray combustion. In this paper the present authors suggest more reasonably simulate the two-mode spray combustion using a droplet ignition model and give the equations for multiphase turbulent reacting flows with two-mode spray combustion for future LES and RANS modeling.