LAPSE:2019.1120
Published Article
LAPSE:2019.1120
Application of Transformation Matrices to the Solution of Population Balance Equations
Vasyl Skorych, Nilima Das, Maksym Dosta, Jitendra Kumar, Stefan Heinrich
November 5, 2019
The development of algorithms and methods for modelling flowsheets in the field of granular materials has a number of challenges. The difficulties are mainly related to the inhomogeneity of solid materials, requiring a description of granular materials using distributed parameters. To overcome some of these problems, an approach with transformation matrices can be used. This allows one to quantitatively describe the material transitions between different classes in a multidimensional distributed set of parameters, making it possible to properly handle dependent distributions. This contribution proposes a new method for formulating transformation matrices using population balance equations (PBE) for agglomeration and milling processes. The finite volume method for spatial discretization and the second-order Rungeāˆ’Kutta method were used to obtain the complete discretized form of the PBE and to calculate the transformation matrices. The proposed method was implemented in the flowsheet modelling framework Dyssol to demonstrate and prove its applicability. Hence, it was revealed that this new approach allows the modelling of complex processes involving materials described by several interconnected distributed parameters, correctly taking into consideration their interdependency.
Keywords
agglomeration, dynamic flowsheet simulation, milling, multidimensional distributed parameters, population balance equation, process modelling, solids, transformation matrix
Suggested Citation
Skorych V, Das N, Dosta M, Kumar J, Heinrich S. Application of Transformation Matrices to the Solution of Population Balance Equations. (2019). LAPSE:2019.1120
Author Affiliations
Skorych V: Institute of Solids Process Engineering and Particle Technology, Hamburg University of Technology, Denickestrasse 15, 21073 Hamburg, Germany [ORCID]
Das N: Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India
Dosta M: Institute of Solids Process Engineering and Particle Technology, Hamburg University of Technology, Denickestrasse 15, 21073 Hamburg, Germany [ORCID]
Kumar J: Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India
Heinrich S: Institute of Solids Process Engineering and Particle Technology, Hamburg University of Technology, Denickestrasse 15, 21073 Hamburg, Germany
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Journal Name
Processes
Volume
7
Issue
8
Article Number
E535
Year
2019
Publication Date
2019-08-14
Published Version
ISSN
2227-9717
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Original Submission
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PII: pr7080535, Publication Type: Journal Article
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LAPSE:2019.1120
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doi:10.3390/pr7080535
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Nov 5, 2019
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Calvin Tsay
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