Mémoire de Maîtrise
DOI
10.11606/D.3.2007.tde-09082007-181813
Document
Auteur
Nom complet
Murilo Uliana
Unité de l'USP
Domain de Connaissance
Date de Soutenance
Editeur
São Paulo, 2007
Directeur
Jury
Giudici, Reinaldo (Président)
Araujo, Pedro Henrique Hermes de
Guardani, Roberto
Titre en portugais
Soluções de equação de balanço populacional pelo método de classes com aplicação a processo de polimerização em suspensão.
Mots-clés en portugais
Equações algébricas diferenciais
Modelagem matemática
Polimerização
Polímeros (química orgânica)
Resumé en portugais
Titre en anglais
Solution of population balance equation using the method of classes applied to suspension polymerization process.
Mots-clés en anglais
Algebraic differential equations
Mathematical modeling
Polymerization
Polymers (organic chemistry)
Resumé en anglais
The mathematical modeling of suspension polymerization of styrene accounting for the population balance equation to predict the dynamic behavior of particle size distribution was studied. In this process, the population balance is determined by the rates of breakage and coalescence. Different methods for solving population balance (BP) equations were studied and, for the case of suspension polymerization, the numerical solution was obtained using the discretized BP by the method of classes and the fixed pivot technique. The effect of the number of discretization elements (number of classes) was investigated. In order to model the initial particle size distribution (PSD), which was not measured experimentally, an initial normal distribution with high average and low variance was assumed and the agitation process with breakage and coalescence was simulated until a constant PSD is reached. This PSD is then used as the initial condition for the process simulation. Simulation results were validated by comparison with experimental data taken from the literature. The first data set involves the dispersion process of styrene droplets in water, without polymerization. The second data set refers to the process of suspension polymerization of styrene carried out in a laboratory-scale batch reactor, in which the effects of agitation speed, amount of stabilizer (surface-active agent) and disperse phase holdup were studied. In both cases, the model was able to represent correctly the trends of the experimental data.

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Date de Publication
2007-08-29

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• ULIANA, Murilo, et al. Mathematical modeling of particle size distribution in suspension polymerization of styrene. Comparison with experimental data. In Vingtièmes Entretiens du Centre Jacques Cartier Modeling, Monitoring and Control of Polymer Properties, Lyon, 2007. Proceedings., 2007. Abstract.
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Centro de Informática de São Carlos
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