A finite element analysis of the steady state population balance equation for particulate systems: Aggregation and growth

Collocation and Galerkin finite element algorithms are developed to solve the steady state population balance equation. Unlike previously proposed schemes, the algorithms are derived over an unscaled domain which permits accurate prediction of both the moments and the density distribution over domai...

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Bibliographic Details
Published inComputers & chemical engineering Vol. 20; pp. S261 - S266
Main Authors Nicmanis, M., Hounslow, M.J.
Format Journal Article Conference Proceeding
LanguageEnglish
Published Oxford Elsevier Ltd 1996
Elsevier
Subjects
Applied sciences
Chemical engineering
Crystallization, leaching, miscellaneous separations
Exact sciences and technology
Aggregation
Crystal growth
Continuous process
Finite element method
Crystallization
Numerical simulation
Galerkin method
Collocation method
Population balance
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Summary:Collocation and Galerkin finite element algorithms are developed to solve the steady state population balance equation. Unlike previously proposed schemes, the algorithms are derived over an unscaled domain which permits accurate prediction of both the moments and the density distribution over domains large enough to reduce finite domain errors to negligibly small values. Simulations are performed for a large range of indices of aggregation for the two cases of i) aggregation alone and ii) combined growth and aggregation. In each case predictions are made of density distributions and the moments of the distributions, both of which are compared with analytical solutions.
Bibliography:SourceType-Scholarly Journals-2
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ObjectType-Conference Paper-1
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ISSN:0098-1354
1873-4375
DOI:10.1016/0098-1354(96)00054-3