Analytical solution and flow topology in a lid-driven S-shaped cavity

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dc.authorid0000-0002-8329-5806
dc.authorid0000-0002-0807-320X
dc.authorid0000-0001-5662-4670
dc.contributor.authorBilgil, Halis
dc.contributor.authorŞafak, İbrahim
dc.contributor.authorÖztürk, Zafer
dc.date.accessioned2023-01-10T05:44:38Z
dc.date.available2023-01-10T05:44:38Z
dc.date.issued2022
dc.departmentSabire Yazıcı Fen Edebiyat Fakültesi
dc.description.abstractIn this study, the Stokes flow problem in an S-shaped double lid-driven cavity filled with fluid was analyzed. Side edges of the cavity were considered as immovable walls. The flow region was divided into two sub-regions, and the streamfunction in each sub-region was considered as an extension of Papkovich-Faddle eigenfunctions. Parameters in the analytical solution were obtained using biorthogonality conditions. The Newton iteration method was used to obtain the eigenvalues of the problem, and integrals were calculated with the Gaussian quadrature method. It was ensured that solutions made separately for the two sub-regions converge on the interface, which is the intersection of these sub-regions. The two parameters controlling the flow structure were determined as the speed ratio of movable lids (S) and the aspect ratio of the cavity (A). The effects of these parameters on flow structures were shown. New eddy formation mechanisms and bifurcations were observed in the cavity by keeping the speed ratio of the lids constant and slowly changing the aspect ratio.
dc.identifier.doi10.1063/5.0134448
dc.identifier.endpage-en_US
dc.identifier.issn1070-6631
dc.identifier.issue12en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage-en_US
dc.identifier.urihttps:/dx.doi.org/10.1063/5.0134448
dc.identifier.urihttps://hdl.handle.net/20.500.12451/9848
dc.identifier.volume34en_US
dc.identifier.wosWOS:000900769200003
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.ispartofPhysics of Fluids
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectAnalytical Solution
dc.subjectFlow Topology
dc.titleAnalytical solution and flow topology in a lid-driven S-shaped cavity
dc.typeArticle

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