Optimal placement of the multiple magnetic sources for the MHD flow in a rectangular duct

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dc.authorscopusid57202775796
dc.authorscopusid23994756900
dc.authorscopusid35071900400
dc.contributor.authorEvcin, Cansu
dc.contributor.authorUğur, Ö.
dc.contributor.authorTezer-Sezgin, M.
dc.date.accessioned2023-05-06T17:20:50Z
dc.date.available2023-05-06T17:20:50Z
dc.date.issued2023
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper, we consider the optimal control of the fully developed, steady, laminar, unidirectional flow of an incompressible electrically conducting fluid in a long channel of rectangular cross-section (duct). The magnetic field is generated by thin wires carrying electric current and placed along, below and/or above the channel, forming magnetic sources at the bottom and top walls of the duct. Control problem is designed to find the optimal placement of magnetic sources by using the axis coordinates of the sources as control variables to achieve the desired fluid behavior. Optimality conditions are obtained via adjoint method following discretize-then-optimize procedure. Optimization is performed by a gradient-based algorithm with bounds on the controls. The coupled system of magnetohydrodynamic (MHD) flow equations is solved by using FEM with quadratic elements. Control simulations are conducted by one, two and multiple sources for various values of the Hartmann number. © 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
dc.identifier.doi10.1007/s11081-023-09796-x
dc.identifier.issn1389-4420
dc.identifier.scopus2-s2.0-85151258092
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s11081-023-09796-x
dc.identifier.urihttps://hdl.handle.net/20.500.11776/11976
dc.identifier.wosWOS:000967615400002
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorEvcin, Cansu
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofOptimization and Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectFEM
dc.subjectMHD
dc.subjectOptimal control
dc.subjectFinite element method
dc.subjectMagnetohydrodynamics
dc.subjectElectrically conducting fluids
dc.subjectMagnetic sources
dc.subjectMagnetic-field
dc.subjectMagnetohydrodynamics flows
dc.subjectOptimal controls
dc.subjectOptimal placements
dc.subjectRectangular cross-sections
dc.subjectRectangular ducts
dc.subjectThin wires
dc.subjectUnidirectional flow
dc.subjectDucts
dc.titleOptimal placement of the multiple magnetic sources for the MHD flow in a rectangular duct
dc.typeArticle

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