dc.contributor.author | Lupi, V. | |
dc.contributor.author | Canton, J. | |
dc.contributor.author | Rinaldi, E. | |
dc.contributor.author | Örlü, Ramis | |
dc.contributor.author | Schlatter, P. | |
dc.date.accessioned | 2024-05-29T12:05:23Z | |
dc.date.available | 2024-05-29T12:05:23Z | |
dc.date.created | 2024-05-24T11:55:01Z | |
dc.date.issued | 2024 | |
dc.identifier.citation | Journal of Fluid Mechanics. 2024, 987 . | en_US |
dc.identifier.issn | 0022-1120 | |
dc.identifier.uri | https://hdl.handle.net/11250/3131876 | |
dc.description.abstract | The 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.iso | eng | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Modal stability analysis of toroidal pipe flow approaching zero curvature | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |
dc.identifier.doi | 10.1017/jfm.2024.324 | |
dc.identifier.cristin | 2270700 | |
dc.source.journal | Journal of Fluid Mechanics | en_US |
dc.source.volume | 987 | en_US |
dc.source.pagenumber | 20 | en_US |