Bifurcation and multiplicity of solutions of the navier-stokes equations in driven semi-elliptical cavity flow

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dc.authoridTofigh Allahviranloo / 0000-0002-6673-3560en_US
dc.authorscopusidTofigh Allahviranloo / 8834494700en_US
dc.authorwosidTofigh Allahviranloo / V-4843-2019en_US
dc.contributor.authorErtürk, Ercan
dc.contributor.authorAllahviranloo, Tofigh
dc.date.accessioned2022-12-12T10:49:13Z
dc.date.available2022-12-12T10:49:13Z
dc.date.issued2022en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, bifurcations in the solution of the Navier-Stokes equations are studied and multiple solutions of the driven semi-elliptical cavity flow are presented. The two-dimensional steady incompressible driven viscous flow in a semi-elliptical cavity is solved numerically. To this end, the problem is formulated using an elliptic coordinate system that transforms the geometry conformally and provides a body fitted coordinate system. The presented results show that above a bifurcation Reynolds number the solution of the governing flow equations bifurcates and there exist multiple solutions for a particular Reynolds number when the aspect ratio of the semi-elliptical cavity geometry is 0.26 <= D <= 0.8. The bifurcation Reynolds numbers for different aspect ratios and also multiple solutions at different Reynolds numbers are presented in detail.en_US
dc.identifier.citationErturk, E., & Allahviranloo, T. (2022). Bifurcation and Multiplicity of Solutions of the Navier–Stokes Equations in Driven Semi-Elliptical Cavity Flow. Mathematics, 10(22), 4242.en_US
dc.identifier.doi10.3390/math10224242en_US
dc.identifier.issn2227-7390en_US
dc.identifier.issue22en_US
dc.identifier.scopus2-s2.0-85142524373en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttp://dx.doi.org/10.3390/math10224242
dc.identifier.urihttps://hdl.handle.net/20.500.12713/3465
dc.identifier.volume10en_US
dc.identifier.wosWOS:000888122900001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAllahviranloo, Tofigh
dc.language.isoenen_US
dc.publisherMDPIen_US
dc.relation.ispartofMATHEMATICSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectNavier-Stokes Equationsen_US
dc.subjectSemi-Elliptical Cavity Flowen_US
dc.subjectBifurcation Reynolds Numberen_US
dc.subjectMultiplicity Of Solutionsen_US
dc.titleBifurcation and multiplicity of solutions of the navier-stokes equations in driven semi-elliptical cavity flowen_US
dc.typeArticleen_US

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