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Characterization of simultaneous evolution of size and composition distributions using generalized aggregation population balance equation

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Show simple item record Singh, Mehakpreet Kumar, Ashish Shirazian, Saeed Ranade, Vivek V. Walker, Gavin M. 2020-12-03T12:22:14Z 2020-12-03T12:22:14Z 2020
dc.description peer-reviewed en_US
dc.description.abstract The application of multi-dimensional population balance equations (PBEs) for the simulation of granulation processes is recommended due to the multi-component system. Irrespective of the application area, numerical scheme selection for solving multi dimensional PBEs is driven by the accuracy in (size) number density prediction alone. However, mixing the components, i.e., the particles (excipients and API) and the binding liquid, plays a crucial role in predicting the granule compositional distribution during the pharmaceutical granulation. A numerical scheme should, therefore, be able to predict this accurately. Here, we compare the cell average technique (CAT) and finite volume scheme (FVS) in terms of their accuracy and applicability in predicting the mixing state. To quantify the degree of mixing in the system, the sum-square χ 2 parameter is studied to observe the deviation in the amount binder from its average. It has been illustrated that the accurate prediction of integral moments computed by the FVS leads to an inaccurate prediction of the χ 2 parameter for a bicomponent population balance equation. Moreover, the cell average technique (CAT) predicts the moments with moderate accuracy; however, it computes the mixing of components χ 2 parameter with higher precision than the finite volume scheme. The numerical testing is performed for some benchmarking kernels corresponding to which the analytical solutions are available in the literature. It will be also shown that both numerical methods equally well predict the average size of the particles formed in the system; however, the finite volume scheme takes less time to compute these results. en_US
dc.language.iso eng en_US
dc.publisher MDPI en_US
dc.relation.ispartofseries Pharmaceutics;12, 1152
dc.subject aggregation en_US
dc.subject finite volume scheme en_US
dc.subject cell average technique en_US
dc.title Characterization of simultaneous evolution of size and composition distributions using generalized aggregation population balance equation en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.identifier.doi 10.3390/pharmaceutics12121152
dc.contributor.sponsor Marie Curie-Sklodowska Action (MCSA) en_US
dc.relation.projectid 841906 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US

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