Application of population balance equation for continuous granulation process in spherodizers and rotary drums

Ludmila Vesjolaja
Department of Electrical Engineering, IT and Cybernetics, University of South-Eastern Norway

Bjørn Glemmestad
Process Modeling and Control Department, Yara Technology Center, Norway

Bernt Lie
Department of Electrical Engineering, IT and Cybernetics, University of South-Eastern Norway

Ladda ner artikelhttps://doi.org/10.3384/ecp20176172

Ingår i: Proceedings of The 61st SIMS Conference on Simulation and Modelling SIMS 2020, September 22-24, Virtual Conference, Finland

Linköping Electronic Conference Proceedings 176:24, s. 172-179

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Publicerad: 2021-03-03

ISBN: 978-91-7929-731-2

ISSN: 1650-3686 (tryckt), 1650-3740 (online)


In this paper, a dynamic model for a granulation process is developed. A population balance is used to capture dynamic particle size distribution in the spherodizer model and in the rotary drum granulator model. Particle growth due to layering is assumed in the spherodizer simulation model, while particle binary agglomeration is taken as the main granulation mechanism in the rotary drum simulation model. The developed models are 2-dimensional (2D) models that are discretized in terms of its internal coordinate (particle diameter), external coordinate (axial length of the granulators). Simulations using the developed models provide valuable data on dynamic fluctuations in the outlet particle size distribution for the granulators. In addition, the simulations results give a valuable information for the control studies of the granulation process. The simulation results showed that the extension of the model from 1D model to 2D model using the discretization of the external coordinate in the model, introduces a transport delay that is important in control studies.


spherodizer, rotary drum, population balance, dynamic model, time delay


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