Publisher DOI: 10.1007/978-3-030-45168-4_14
Title: Numerical methods for coupled population balance systems applied to the dynamical simulation of crystallization processes
Language: English
Authors: Ahrens, Robin 
Lakdawala, Zahra 
Voigt, Andreas 
Wiedmeyer, Viktoria 
John, Volker 
Le Borne, Sabine  
Sundmacher, Kai 
Issue Date: 21-Jun-2020
Publisher: Springer, Cham.
Source: Dynamic Flowsheet Simulation of Solids Processes. Springer, Cham.: 475-518 (2020-06-21)
Abstract (english): 
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 flowtube crystallizer are presented.Asurvey 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.
ISBN: 978-303045168-4
Institute: Mathematik E-10 
Document Type: Chapter (Book)
Appears in Collections:Publications without fulltext

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