On the instability of Ekman boundary-layer flow over a rough disk with a wavy surface profile

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dc.authorid0000-0003-2699-9898en_US
dc.contributor.authorAlveroğlu, Burhan
dc.date.accessioned2021-03-20T20:09:18Z
dc.date.available2021-03-20T20:09:18Z
dc.date.issued2020
dc.departmentBTÜ, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe apply the method of lines and the backward difference method to solve highly nonlinear governing mean flow equations of the Ekman boundary-layer flow over a rough disk with a wavy surface profile. These equations are derived using the YHP roughness model that imposes a wavy surface profile in terms of the radial position r, assuming rotational symmetry. Our main interest is to determine the effect of roughness on the local linear convective instability of the Ekman flow, and we solve the local linear stability equations of the disturbances stationary relative to the disk using the Chebyshev polynomials. The crossflow and viscous types of instability modes, the Type I and Type II modes respectively, are analyzed. Our theoretical findings prompts that an adequately designed rough disk can be a useful tool for a passive flow-control method for the Ekman flow. The underlying physical mechanisms are investigated applying a fundamental energy analysis.en_US
dc.identifier.doi10.1002/num.22593en_US
dc.identifier.endpage1505en_US
dc.identifier.issn0749-159X
dc.identifier.issn1098-2426
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1495en_US
dc.identifier.urihttp://doi.org/10.1002/num.22593
dc.identifier.urihttps://hdl.handle.net/20.500.12885/354
dc.identifier.volume37en_US
dc.identifier.wosWOS:000583774000001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAlveroğlu, Burhan
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofNumerical Methods For Partial Differential Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectEkman flowen_US
dc.subjectlinear convective instabilityen_US
dc.subjectrotating disk flowsen_US
dc.titleOn the instability of Ekman boundary-layer flow over a rough disk with a wavy surface profileen_US
dc.typeArticleen_US

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