Droplet breakage and coalescence models for the flow of water-in-oil emulsions through a valve-like element

Modeling and simulation of mixing in water-in-oil emulsion flow through a valve-like element using a population balance model

“…Recently, Mitre et al (2014) developed models for coalescence and breakage of droplets for the flow of water-in-oil emulsions through valve-like elements. They used a homogeneous population balance model (Lagrangian model) to predict the evolution of the droplet size distribution.…”

“…Mitre et al (2014) used two models for the coalescence efficiency. The first assumes that the coalescence efficiency is constant, whose value was included in the estimated value of C c .…”

“…Ca crit is the critical capillary number that was obtained by Mitre et al (2014) as a function of the maximum Reynolds number in the valve-like element, Re max , and the Stokes number using the Kolmogorov timescale, St k :…”

“…They used a homogeneous population balance model (Lagrangian model) to predict the evolution of the droplet size distribution. The parameters of the proposed models were adjusted using their own experimental data (Mitre et al, 2014). The model for the coalescence frequency of droplets having diameters d˛and dˇis given by:…”

“…Recently, Mitre et al (2014) developed models for coalescence and breakage of droplets in emulsion flow using an homogeneous population balance model, that is, a lumped Lagrangian model where the dependence of the particle number distribution on the position in the physical space (external variables) was ignored. This work has two main goals.…”