Bifurcations and eddy genesis of Stokes flow within a sectorial cavity PART II: Co-moving lids

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dc.contributor.authorGurcan, Fuat
dc.contributor.authorBilgil, Halis
dc.contributor.authorSahin, A.
dc.date.accessioned13.07.201910:50:10
dc.date.accessioned2019-07-16T08:36:17Z
dc.date.available13.07.201910:50:10
dc.date.available2019-07-16T08:36:17Z
dc.date.issued2016
dc.department[Gurcan, F.] Int Univ Sarajevo, Hrasnicka Cesta 15, Sarajevo, Bosnia & Herceg -- [Bilgil, H. -- Sahin, A.] Aksaray Univ, Dept Math, TR-68100 Aksaray, Turkey
dc.description.abstractThis paper is a complementary study to earlier work (Gurcan, 2013), concerning eddy genesis and bifurcations in a sectorial driven cavity for Stokes flow, consisting of a pair of curved stationary side walls and two straight translating lids moving in the same radial direction with speeds U-1 and U-2. The flow is governed by two physical control parameters: the cavity aspect ratio A = r(2)/r(1) where r(1) and r(2) are the radii of the inner and outer curved side-walls, respectively and the ratio of the upper and lower lid speeds (S = U-1/U-2). In previous work (Gurcan, 2013), focus was on lids moving in the opposite direction or a single moving lid. By considering different A values for each S, the streamline patterns and their bifurcations are studied; occurrence of stagnation point bifurcations and transformation of the local flow topology are observed at critical values of A and S. The key results are shown in an (S, A) control space diagram which exhibits an intricate structure due to the intersection and confluence of eight bifurcation curves representing flow bifurcations at degenerate critical points. Six different eddy genesis mechanisms are observed for S is an element of (0, 1] and A is an element of (1.45. 20). In each case the flow structures and eddy genesis mechanisms are illustrated in detail with figures and bifurcation diagrams. The study also serves as a benchmark problem for testing new numerical algorithms. (C) 2015 Elsevier Masson SAS. All rights reserved.
dc.identifier.doi10.1016/j.euromechflu.2015.02.008
dc.identifier.endpage210en_US
dc.identifier.issn0997-7546
dc.identifier.issn1873-7390
dc.identifier.scopusqualityQ1
dc.identifier.startpage200en_US
dc.identifier.urihttps://doi.org/10.1016/j.euromechflu.2015.02.008
dc.identifier.urihttps://hdl.handle.net/20.500.12451/3235
dc.identifier.volume56en_US
dc.identifier.wosWOS:000378100300019
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier Science Bv
dc.relation.ispartofEuropean Journal Of Mechanics B-Fluids
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBifurcation
dc.subjectCavity
dc.subjectEddy
dc.subjectFlow Structure
dc.subjectStagnation Point
dc.subjectStokes Flow
dc.titleBifurcations and eddy genesis of Stokes flow within a sectorial cavity PART II: Co-moving lids
dc.typeArticle

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