The drop size distribution of turbulent vaporizing sprays is determined by the thermo-fluid dynamics at the liquid-gas interface.After primary atomization,coalescences and fragmenting droplet collisions significantly alter the primary drop size distribution.While low Weber number collisions of small droplets lead to coalescence and droplet growth,high Weber number collisions of large droplets lead to fragmentation into smaller droplets.In between these regimes,droplets form an equilibrium distribution,where the rate of coalescence equals the rate of droplet fragmentation.In turbulent sprays,this equalization process affects the drop size distribution more than any other mechanism.Athough numerous studies exist to describe the outcome of binary droplet collisions,their influence on drop size distributions is mostly assessed descriptively.In this study,collisional effects on the drop size distribution are described by numerical simulations of a generic turbulent dispersion.Starting from a given degree of turbulence and an initial Weber number distribution,collision incidents and outcomes are described statistically by recent collision models.Based on the model predictions,droplet coalescences and fragmenting droplet collisions shift the drop size distributions towards an equilibrium Weber number of We ≈ 10 within a few collisions per droplet,which is found to be valid for various initial parameters.