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dc.contributor.authorLupi, V.
dc.contributor.authorCanton, J.
dc.contributor.authorRinaldi, E.
dc.contributor.authorÖrlü, Ramis
dc.contributor.authorSchlatter, P.
dc.date.accessioned2024-05-29T12:05:23Z
dc.date.available2024-05-29T12:05:23Z
dc.date.created2024-05-24T11:55:01Z
dc.date.issued2024
dc.identifier.citationJournal of Fluid Mechanics. 2024, 987 .en_US
dc.identifier.issn0022-1120
dc.identifier.urihttps://hdl.handle.net/11250/3131876
dc.description.abstractThe present study investigates the modal stability of the steady incompressible flow inside a toroidal pipe for values of the curvature δ (ratio between pipe and torus radii) approaching zero, i.e. the limit of a straight pipe. The global neutral stability curve for 10−7 ≤ δ ≤ 10−2 is traced using a continuation algorithm. Two different families of unstable eigenmodes are identified. For curvatures below 1.5 × 10−6 , the critical Reynolds number Recr is proportional to δ−1/2 . Hence, the critical Dean number is constant, De cr = 2 Re cr √δ ≈ 113. This behaviour confirms that the Hagen–Poiseuille flow is stable to infinitesimal perturbations for any Reynolds number and suggests that a continuous transition from the curved to the straight pipe takes place as far as it regards the stability properties. For low values of the curvature, an approximate self-similar solution for the steady base flow can be obtained at a fixed Dean number. Exploiting the proposed semi-analytic scaling in the stability analysis provides satisfactory results.en_US
dc.language.isoengen_US
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.titleModal stability analysis of toroidal pipe flow approaching zero curvatureen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionpublishedVersionen_US
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode2
dc.identifier.doi10.1017/jfm.2024.324
dc.identifier.cristin2270700
dc.source.journalJournal of Fluid Mechanicsen_US
dc.source.volume987en_US
dc.source.pagenumber20en_US


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