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Analytical approach for solving population balances: a homotopy perturbation method

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dc.contributor.author Kaur, Gurmeet
dc.contributor.author Singh, Randhir
dc.contributor.author Singh, Mehakpreet
dc.contributor.author Kumar, Jitendra
dc.contributor.author Matsoukas, Themis
dc.date.accessioned 2019-11-08T12:58:28Z
dc.date.issued 2019
dc.identifier.issn 1751-8113
dc.identifier.uri http://hdl.handle.net/10344/8219
dc.description peer-reviewed en_US
dc.description.abstract .In the present work, a new approach is proposed for finding the analytical solution of population balances for aggregation and fragmentation process. This approach is relying on the idea of the homotopy perturbation method (HPM). The HPM solves both linear and nonlinear initial and boundary value problems without nonphysical restrictive assumptions such as linearization and discretization. It gives the solution in the form of series with easily computable solution components. The outcome of this study reveals that the proposed method can avoid numerical stability problems which often characterize in general numerical techniques related to this area. Several examples including Austin's kernel, available in literature, are examined to demonstrate the accuracy and applicability of the proposed method. In addition, the analytical solution to two new kernels (the power-law kernel in fragmentation and the Ruckenstein/Pulvermacher kernel in aggregation) are also introduced. en_US
dc.language.iso eng en_US
dc.publisher IOP Publsihing en_US
dc.relation.ispartofseries Journal Of Physics A-Mathematical And Theoretical, 52 (38)
dc.relation.uri https://doi.org/10.1088/1751-8121/ab2cf5
dc.subject analytical solution en_US
dc.subject homotopy perturbation method en_US
dc.subject particles en_US
dc.subject population balance equation en_US
dc.title Analytical approach for solving population balances: a homotopy perturbation method 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.date.updated 2019-11-08T12:48:01Z
dc.identifier.doi 10.1088/1751-8121/ab2cf5
dc.date.embargoEndDate 2020-08-26
dc.embargo.terms 2020-08-26 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US
dc.internal.rssid 2928790
dc.internal.copyrightchecked Yes
dc.identifier.journaltitle Journal Of Physics A-Mathematical And Theoretical
dc.description.status peer-reviewed


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