EVALUATION OF BREAKAGE KERNELS FOR LIQUID-LIQUID SYSTEMS: SOLUTION OF THE POPULATION BALANCE EQUATION BY THE LEAST-SQUARES METHOD

The breakage frequency and daughter size distribution functions by Coulaloglou and Tavlarides([1]) are frequently adopted closures in population balance (PB) modelling. A survey of the extensions and modifications of the Coulaloglou and Tavlarides([1]) breakage frequency function is provided. Furthermore, the daughter size distribution functions within the statistical category, herein the model proposed by Coulaloglou and Tavlarides([1]), are outlined. Most of the breakage models available in literature commonly assume binary breakage only. Thus, the daughter size distribution function suggested by Diemer and Olson([2]) is of interest as higher order breakage can be modelled. The breakage closures are evaluated solving the population balance equation (PBE) for a liquid-liquid emulsification system in a stirred tank. The results obtained from a least-squares solver are compared with the experimental data when available.