The instability of non-Newtonian boundary-layer flows over rough rotating disks

dc.authorid0000-0003-2699-9898en_US
dc.contributor.authorAlqarni, A. A.
dc.contributor.authorAlveroğlu, Burhan
dc.contributor.authorGriffiths, P. T.
dc.contributor.authorGarrett, S. J.
dc.date.accessioned2021-03-20T20:12:25Z
dc.date.available2021-03-20T20:12:25Z
dc.date.issued2019
dc.departmentBTÜ, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe are concerned with the local linear convective instability of the incompressible boundary-layer flows over rough rotating disks for non-Newtonian fluids. Using the Carreau model for a range of shear-thinning and shear-thickening fluids, we determine, for the first time, steady-flow profiles under the partial-slip model for surface roughness. The subsequent linear stability analyses of these flows (to disturbances stationary relative to the disk) indicate that isotropic and azimuthally-anisotropic (radial grooves) surface roughness leads to the stabilisation of both shear-thinning and -thickening fluids. This is evident in the behaviour of the critical Reynolds number and growth rates of both Type I (inviscid cross flow) and Type II (viscous streamline curvature) modes of instability. The underlying physical mechanisms are clarified using an integral energy equation.en_US
dc.description.sponsorshipSaudi Arabian Cultural Bureau in the UK; University of Bisha in Saudi Arabiaen_US
dc.description.sponsorshipAAA wishes to gratefully acknowledge financial support received from the Saudi Arabian Cultural Bureau in the UK and a scholarship sponsored by University of Bisha in Saudi Arabia.en_US
dc.identifier.doi10.1016/j.jnnfm.2019.104174en_US
dc.identifier.issn0377-0257
dc.identifier.issn1873-2631
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttp://doi.org/10.1016/j.jnnfm.2019.104174
dc.identifier.urihttps://hdl.handle.net/20.500.12885/549
dc.identifier.volume273en_US
dc.identifier.wosWOS:000503909000004en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAlveroğlu, Burhan
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofJournal Of Non-Newtonian Fluid Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLaminar boundary layeren_US
dc.subjectNon-Newtonianen_US
dc.subjectCarreau fluiden_US
dc.subjectConvective instabilityen_US
dc.titleThe instability of non-Newtonian boundary-layer flows over rough rotating disksen_US
dc.typeArticleen_US

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