Novel approaches to improve the particle size distribution prediction of a classical emulsion polymerization model

作者: Alireza Hosseini , Ala Eldin Bouaswaig , Sebastian Engell

DOI: 10.1016/J.CES.2012.11.021

关键词: Statistical physicsKernel (statistics)Stochastic differential equationProbability distributionDiscretizationPopulation balance equationMathematicsPopulationFokker–Planck equationInverse problem

摘要: Abstract A recent investigation on the homopolymerization of styrene ( Hosseini et al., 2012a ) showed that classical population balance models are incapable predicting evolution breadth experimental particle size distributions correctly when a high resolution discretization method is used to suppress numerical errors. Also by re-tuning model parameters predictions did not fit results which points structural inadequacy conventional deterministic growth in describing experimentally observed broadening phenomenon. Two novel approaches suggested this work improve predictions. In first approach, possibly dependent stochastic term added kernel account for inhomogeneities process. The probability distribution resulting differential equation evolves over time based Fokker–Planck equation. (possibly dependent) dispersion as tuning results. second extracted from characteristics transient distributions. described terms states system affect advantages and disadvantages both highlighted.

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