Abstract
Following the drop oscillation breakup mechanism, a theoretical model
for drop breakup probability is proposed based on the three-dimensional
Maxwell velocity distribution. The model considers both the interfacial
energy increase constraint and viscous energy increase constraint. The
model shows that for low-viscous drops, the breakup probability is
determined by the Weber number (WeL), and
for intermediate or high viscous drops, the breakup probability is
determined by the combined influence of the Weber number
(WeL) and the Ohnesorge number
(Oh). By combining the theoretical model of drop breakup time
constructed in our previous work, the breakup frequency model is
obtained based on the statistical description framework. The accuracy
and generality of the model were then validated using the direct
experimental data. Moreover, effects of the drop diameter, turbulent
energy dissipation rate, and interfacial tension on the predicted drop
breakup frequency were analyzed in detail.