On the Dynamics of Fluid Particle Breakage Induced by Hydrodynamic Instabilities: A Review of Modelling Approacheso

Abstract A review of the models concerning instability of the interface between a fluid particle and continuous phase is provided to assist elucidating the role of particle oscillations and shape deformations in breakage phenomena. There appear to exist two main approaches for a fluid particle instability analysis; one is based on velocity potential and energy balance, and the other one is based on application of normal-mode perturbation analysis in relevant transport equations. The former shows deficiencies in accounting for the effect of viscosity, whereas the latter, although somewhat more difficult to apply, appears to provide more reliable predictions. The current review aims to facilitate evaluating the assumptions and concepts used in conventional breakage models and possibly improving them by implementing an instability analysis. The influence of the fluid particle oscillations on breakage and the application of such studies, as well as nonlinear instability analyses, in modeling the breakage events is discussed.