Improved orthokinetic coagulation model for fractal colloids: Aggregation and breakup

An improved discretized population balance equation (PBE) is proposed in this study. This improved discretized PBE has new probability distribution functions for aggregates produced in non-uniform discrete coagulation modeling. The authors extended an improved particle coagulation model previously developed to an adjustable geometric size interval (q), where q is a volume ratio of class k+1 particles to class k particles ((Upsilon)k+1/(Upsilon)k=q). This model was compared with exact numerical solutions of continuous (uniform discretized) PBEs and applied to simulate the particle aggregation and breakup with fractal dimensions lower than 3. Further, comparisons were made using the fractal aggregate collision mechanisms of orthokinetic coagulation with the inclusion of flow induced breakup.