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Process Modeling for Dynamic Disperse Particle Separation and Deposition Processes Read chapter Read first chapter

2020 | OriginalPaper | Chapter

14. Numerical Methods for Coupled Population Balance Systems Applied to the Dynamical Simulation of Crystallization Processes

Authors : Robin Ahrens, Zahra Lakdawala, Andreas Voigt, Viktoria Wiedmeyer, Volker John, Sabine Le Borne, Kai Sundmacher

Published in: Dynamic Flowsheet Simulation of Solids Processes

Publisher: Springer International Publishing

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Abstract

Uni- and bi-variate crystallization processes are considered that are modeled with population balance systems (PBSs). Experimental results for uni-variate processes in a helically coiled flow tube crystallizer are presented. A survey on numerical methods for the simulation of uni-variate PBSs is provided with the emphasis on a coupled stochastic-deterministic method. In this method, the equations of the PBS from computational fluid dynamics are solved deterministically and the population balance equation is solved with a stochastic algorithm. With this method, simulations of a crystallization process in a fluidized bed crystallizer are performed that identify appropriate values for two parameters of the model such that considerably improved results are obtained than reported so far in the literature. For bi-variate processes, the identification of agglomeration kernels from experimental data is briefly discussed. Even for multi-variate processes, an efficient algorithm for evaluating the agglomeration term is presented that is based on the fast Fourier transform (FFT). The complexity of this algorithm is discussed as well as the number of moments that can be conserved.

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previous chapter Morphological Modelling and Simulation of Crystallization Processes
next chapter Compartmental Population Balances by Means of Monte Carlo Methods
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Metadata
Title
Numerical Methods for Coupled Population Balance Systems Applied to the Dynamical Simulation of Crystallization Processes
Authors
Robin Ahrens
Zahra Lakdawala
Andreas Voigt
Viktoria Wiedmeyer
Volker John
Sabine Le Borne
Kai Sundmacher
Copyright Year
2020
Book
Dynamic Flowsheet Simulation of Solids Processes

Print ISBN: 978-3-030-45167-7

Electronic ISBN: 978-3-030-45168-4

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-45168-4_14