Application of homotopy perturbation and numerical methods to the circular porous slider

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dc.contributor.authorMadani, M.
dc.contributor.authorKhan, Yasir
dc.contributor.authorMahmodi, Gh.
dc.contributor.authorFaraz, Naeem
dc.contributor.authorYildirim, Ahmet
dc.contributor.authorNasernejad, B.
dc.date.accessioned2019-10-27T21:33:52Z
dc.date.available2019-10-27T21:33:52Z
dc.date.issued2012
dc.departmentEge Üniversitesien_US
dc.description.abstractPurpose - The purpose of this paper is to present the problem of three-dimensional flow of a fluid of constant density forced through the porous bottom of a circular porous slider moving laterally on a flat plate. Design/methodology/approach - The transformed nonlinear ordinary differential equations are solved via the homotopy perturbation method (HPM) for small as well as moderately large Reynolds numbers. The convergence of the obtained RPM solution is carefully analyzed. Finally, the validity of results is verified by comparing with numerical methods and existing numerical results. Findings - Close agreement of the two sets of results is observed, thus demonstrating the accuracy of the HPM approach for the particular problem considered. Originality/value - Interesting conclusions which can be drawn from this study are that HPM is very effective and simple compared to the existing solution method, able to solve problems without using Pade approximants and can therefore be considered as a clear advantage over the N.M. Bujurke and Phan-Thien techniques.en_US
dc.identifier.doi10.1108/09615331211244844
dc.identifier.endpage717en_US
dc.identifier.issn0961-5539
dc.identifier.issn1758-6585
dc.identifier.issn0961-5539en_US
dc.identifier.issn1758-6585en_US
dc.identifier.issue06.Julen_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage705en_US
dc.identifier.urihttps://doi.org/10.1108/09615331211244844
dc.identifier.urihttps://hdl.handle.net/11454/45447
dc.identifier.volume22en_US
dc.identifier.wosWOS:000310411700001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherEmerald Group Publishing Ltden_US
dc.relation.ispartofInternational Journal of Numerical Methods For Heat & Fluid Flowen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHomotopy perturbation method (HPM)en_US
dc.subjectSimilarity transformationen_US
dc.subjectCircular porous slideren_US
dc.subjectReynolds numberen_US
dc.subjectFinite difference methodsen_US
dc.subjectFourth-order Runge-Kuttaen_US
dc.subjectNumerical analysisen_US
dc.titleApplication of homotopy perturbation and numerical methods to the circular porous slideren_US
dc.typeArticleen_US

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