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dc.contributor.authorPanaseti, Pandelitsaen
dc.contributor.authorGeorgiou, Georgios C.en
dc.creatorPanaseti, Pandelitsaen
dc.creatorGeorgiou, Georgios C.en
dc.date.accessioned2019-12-02T10:37:14Z
dc.date.available2019-12-02T10:37:14Z
dc.date.issued2017
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57352
dc.description.abstractThe flow development of a Herschel–Bulkley fluid in a horizontal channel is considered assuming that slip occurs only on the upper wall due to slip heterogeneities. Hence, the velocity profile is allowed to be asymmetric as was the case in recent experiments on softy glassy suspensions [13]. A power-law slip equation is employed, which generalizes the Navier-slip law. The one-dimensional fully-developed solutions are derived and the different flow regimes are identified. The two-dimensional development flow is solved numerically using finite elements along with the Papanastasiou regularization for the constitutive equation. Due to the asymmetry and the viscoplastic character of the flow, the classical definition of the development length is not applicable. The global and upper-wall development lengths are thus considered and the combined effects of slip and the Bingham number are investigated. Numerical results are presented for two values of the power-law exponent, i.e. n = 1 (Bingham plastic) and n = 1/2 (Herchel–Bulkley fluid). It is demonstrated that the global development length increases with the Bingham number and that flow development is slower near the no-slip wall. The global development length increases with slip exhibiting two plateaus and an intermediate rapid increase zone and doubles in the limit of infinite slip. © 2017 Elsevier B.V.en
dc.sourceJournal of Non-Newtonian Fluid Mechanicsen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85028605814&doi=10.1016%2fj.jnnfm.2017.08.008&partnerID=40&md5=a454cae43ba13e8ca35ebb417b5f19eb
dc.subjectMechanicsen
dc.subjectMaterials scienceen
dc.subjectFinite element methoden
dc.subjectBinsen
dc.subjectNon Newtonian flowen
dc.subjectFinite elementsen
dc.subjectBingham plasticen
dc.subjectMechanical engineeringen
dc.subjectCondensed matter physicsen
dc.subjectNavier slipen
dc.subjectWall slipen
dc.subjectDevelopment lengthen
dc.subjectChemical engineeringen
dc.subjectFlow developmenten
dc.subjectPlane Poiseuille Flowen
dc.titleViscoplastic flow development in a channel with slip along one wallen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1016/j.jnnfm.2017.08.008
dc.description.volume248
dc.description.startingpage8
dc.description.endingpage22
dc.author.facultyΣχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.departmentΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtypeArticleen
dc.source.abbreviationJ.Non-Newton.Fluid Mech.en
dc.contributor.orcidGeorgiou, Georgios C. [0000-0002-7451-224X]
dc.gnosis.orcid0000-0002-7451-224X


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