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Processes 2018, 6(10), 195; https://doi.org/10.3390/pr6100195

Mathematical Modelling and Simulation of a Spray Fluidized Bed Granulator

1
Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India
2
Pharmaceutical Process Analytical Technology, Department of Pharmaceutical Analysis, Faculty of Pharmaceutical Sciences, Ghent University, 9000 Ghent, Belgium
3
Department of Chemical Sciences, University of Limerick, V94T9PX Limerick, Ireland
4
BIOMATH, Department of Mathematical Modelling, Statistics and Bioinformatics, Faculty of Bioscience Engineering, Ghent University, 9000 Ghent, Belgium
*
Author to whom correspondence should be addressed.
Received: 11 September 2018 / Revised: 9 October 2018 / Accepted: 16 October 2018 / Published: 18 October 2018
(This article belongs to the Special Issue Recent Advances in Population Balance Modeling)
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Abstract

In this present work, a study of the modelling and simulation for a top-sprayed fluidized bed granulator (SFBG) is presented, which is substantially used by the pharmaceutical industry to prepare granules. The idea is to build a number-based mathematical model using the notion of population balances by dividing a top SFBG into two different zones, namely the wet zone and dry zone. To solve a two-compartment model, an existing accurate and efficient finite volume scheme is implemented. In order to validate the compartmental model, a new class of analytical moments is derived corresponding to various combinations of aggregation and breakage kernels. To verify the accuracy of a modified finite volume scheme, the zeroth and first order moments computed using the finite volume scheme are compared with the newly-derived analytical results. Moreover, the stability of the compartmental model and the numerical scheme is tested by varying the size of the wet zone. It is also shown that the relative errors in both order moments increase with the increase in the size of the wet zone. View Full-Text
Keywords: agglomeration; breakage; compartmental modelling; sprayed fluidized bed granulation; population balance equation; finite volume scheme agglomeration; breakage; compartmental modelling; sprayed fluidized bed granulation; population balance equation; finite volume scheme
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Kaur, G.; Singh, M.; Kumar, J.; De Beer, T.; Nopens, I. Mathematical Modelling and Simulation of a Spray Fluidized Bed Granulator. Processes 2018, 6, 195.

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