Analytical solution of population balance equation involving aggregation and breakage in terms of auxiliary equation method

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dc.authorscopusid35093185300
dc.authorscopusid57203557162
dc.authorscopusid56372880600
dc.authorscopusid55939079700
dc.contributor.authorPınar, Zehra
dc.contributor.authorDutta, Abhishek
dc.contributor.authorBeny, Guido
dc.contributor.authorÖziş, Turgut
dc.date.accessioned2022-05-11T14:31:15Z
dc.date.available2022-05-11T14:31:15Z
dc.date.issued2015
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractThis paper presents an effective analytical simulation to solve population balance equation (PBE), involving particulate aggregation and breakage, by making use of appropriate solution(s) of associated complementary equation via auxiliary equation method (AEM). Travelling wave solutions of the complementary equation of a nonlinear PBE with appropriately chosen parameters is taken to be analogous to the description of the dynamic behaviour of the particulate processes. For an initial proof-of-concept, a general case when the number of particles varies with respect to time is chosen. Three cases, i.e. (1) balanced aggregation and breakage, (2) when aggregation can dominate and (3) breakage can dominate, are selected and solved for their corresponding analytical solutions. The results are then compared with the available analytical solution, based on Laplace transform obtained from literature. In this communication, it is shown that the solution approach proposed via AEM is flexible and therefore more efficient than the analytical approach used in the literature. © Indian Academy of Sciences.
dc.identifier.doi10.1007/s12043-014-0838-y
dc.identifier.endpage21
dc.identifier.issn0304-4289
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84920989735
dc.identifier.scopusqualityQ2
dc.identifier.startpage9
dc.identifier.urihttps://doi.org/10.1007/s12043-014-0838-y
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7385
dc.identifier.volume84
dc.indekslendigikaynakScopus
dc.institutionauthorPınar, Zehra
dc.language.isoen
dc.publisherIndian Academy of Sciences
dc.relation.ispartofPramana - Journal of Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectAggregation
dc.subjectAuxiliary equation method
dc.subjectBreakage
dc.subjectLaplace transform
dc.subjectPopulation balance
dc.subjectAgglomeration
dc.subjectCoal breakage
dc.subjectLaplace transforms
dc.subjectAnalytical approach
dc.subjectAnalytical simulations
dc.subjectAuxiliary equation method
dc.subjectParticulate aggregation
dc.subjectParticulate process
dc.subjectPopulation balance equation
dc.subjectPopulation balances
dc.subjectTravelling wave solution
dc.subjectNonlinear equations
dc.titleAnalytical solution of population balance equation involving aggregation and breakage in terms of auxiliary equation method
dc.typeArticle

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