Population Balances Involving Aggregation and Breakage Through Homotopy Approaches

Basit Öğe Kaydı
dc.authorid0000-0002-6826-6185
dc.authorid0000-0002-0714-1119
dc.authorid0000-0002-9344-7308
dc.authorwosidConstales, Denis/A-5797-2009
dc.authorwosidDutta, Abhishek/ABB-7958-2020
dc.authorwosidPINAR, Zehra/ABA-1990-2020
dc.contributor.authorDutta, Abhishek
dc.contributor.authorPınar, Zehra
dc.contributor.authorConstales, Denis
dc.contributor.authorÖziş, Turgut
dc.date.accessioned2022-05-11T14:31:23Z
dc.date.available2022-05-11T14:31:23Z
dc.date.issued2018
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractHomotopy techniques in nonlinear problems are getting increasingly popular in engineering practice. The main reason is because the homotopy method deforms continuously a difficult problem under study into a simple problem, which then can be easy to solve. This study explores several homotopy approaches to obtain semi- or approximate analytical solutions for various cases involving mechanistic phenomena such as aggregation and breakage. The well-established approximate analytical methods namely, the Homotopy Perturbation Method (HPM), the Homotopy Analysis Method (HAM), and the more recent forms of homotopy approaches such as the Optimal Homotopy Asymptotic Method (OHAM) and the Homotopy Analysis Transform Method (HATM) have been used to solve using a general mathematical framework based on population balances. In this study, several test cases have been discussed such as conditions in which the aggregation kernel is not only constant, but also sum or product dependent. Furthermore cases involving pure breakage, pure aggregation and a combined aggregation-breakage have been studied to understand the sensitivity of these homotopy-based methods in solving PBM. In all these cases, the solutions have been analytically studied and compared with literature. Using symbolic computation and carefully chosen perturbation parameters, the approximate analytical solutions are compared with each other and with the available analytical solution. A convergence analysis of the solution methods is made in comparison to the available solution. The case studies indicate that OHAM performs slightly better than both HATM and HPM in solving nonlinear equations such as the PBEs.
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)
dc.description.sponsorshipIt is important to note that certain parts of the study were presented in the 6th International Conference on Advanced Computational Methods in Engineering, ACOMEN 23-28th June 2014, Gent, Belgium. Zehra Pinar wishes to express her sincere thanks to the Scientific and Technological Research Council of Turkey (TUBITAK) for a scholarship to attend ACOMEN.
dc.identifier.doi10.1515/ijcre-2017-0153
dc.identifier.issn2194-5748
dc.identifier.issn1542-6580
dc.identifier.issue6en_US
dc.identifier.urihttps://doi.org/10.1515/ijcre-2017-0153
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7432
dc.identifier.volume16
dc.identifier.wosWOS:000435366100005
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.institutionauthorPınar, Zehra
dc.language.isoen
dc.publisherWalter De Gruyter Gmbh
dc.relation.ispartofInternational Journal of Chemical Reactor Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectPopulation balance equation
dc.subjectAggregation
dc.subjectBreakage
dc.subjectHomotopy
dc.subjectLaplace transform
dc.subjectEquations
dc.titlePopulation Balances Involving Aggregation and Breakage Through Homotopy Approaches
dc.typeArticle

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
7432.pdf
Boyut:
1.82 MB
Biçim:
Adobe Portable Document Format
Açıklama:
Tam Metin / Full Text
İndir

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Fen Edebiyat Fakültesi Koleksiyonu