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Rapidly rotating precessing cylinder flows: forced triadic resonances
dc.contributor.author | Lopez Moscat, Juan Manuel |
dc.contributor.author | Marqués Truyol, Francisco |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física |
dc.date.accessioned | 2019-03-01T10:17:36Z |
dc.date.issued | 2018-03-25 |
dc.identifier.citation | Lopez, J. M.; Marques, F. Rapidly rotating precessing cylinder flows: forced triadic resonances. "Journal of fluid mechanics", 25 Març 2018, vol. 839, p. 239-270. |
dc.identifier.issn | 0022-1120 |
dc.identifier.uri | http://hdl.handle.net/2117/129982 |
dc.description.abstract | Rapidly rotating cylinder flows subjected to low-amplitude precessional forcing are studied numerically over a range of cylinder and precessional rotation rates. For sufficiently small rotation rates, viscous effects lead to a forced overturning flow that is steady in the precession (table) frame of reference. Increasing the rotation rates, this forced flow loses stability in a Hopf bifurcation, which can be either supercritical or subcritical, and may preserve or break the symmetry of the system, depending on the parameter regime studied. Regardless of these details of the Hopf bifurcation, it is found that the Hopf instability is associated with a slightly detuned triadic resonance between the forced overturning flow and two free Kelvin modes (inviscid eigenmodes of the rotating cylinder). Further increases in rotation rates lead to a sequence of secondary instabilities which also follow a generic pattern irrespective of the parameter regime investigated. The relationship between this sequence of instabilities and the resultant nonlinear dynamics with the experimentally observed phenomenon of resonant collapse is discussed. |
dc.format.extent | 32 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Física |
dc.subject.lcsh | Nonlinear systems |
dc.subject.lcsh | Nonlinear waves |
dc.subject.other | nonlinear dynamical systems |
dc.subject.other | nonlinear instability |
dc.subject.other | waves in rotating fluids |
dc.title | Rapidly rotating precessing cylinder flows: forced triadic resonances |
dc.type | Article |
dc.subject.lemac | Ones no lineals |
dc.contributor.group | Universitat Politècnica de Catalunya. DF - Dinàmica de Fluids: formació d'estructures i aplicacions geofísiques |
dc.identifier.doi | 10.1017/jfm.2017.922 |
dc.relation.publisherversion | https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/rapidly-rotating-precessing-cylinder-flows-forced-triadic-resonances/5C4267ECB392C73425C4F2071378B23B |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 23537589 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Lopez, Juan M.; Marques, F. |
local.citation.publicationName | Journal of fluid mechanics |
local.citation.volume | 839 |
local.citation.startingPage | 239 |
local.citation.endingPage | 270 |
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