dc.contributor.author | Faltinsen, Odd Magnus | |
dc.contributor.author | Timokha, Alexander | |
dc.date.accessioned | 2019-12-19T08:32:58Z | |
dc.date.available | 2019-12-19T08:32:58Z | |
dc.date.created | 2019-06-24T16:46:46Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Journal of Fluid Mechanics. 2019, 865 884-903. | nb_NO |
dc.identifier.issn | 0022-1120 | |
dc.identifier.uri | http://hdl.handle.net/11250/2634072 | |
dc.description.abstract | An inviscid analytical theory of a slow steady liquid mass rotation during the swirl-type sloshing in a vertical circular cylindrical tank with a fairly deep depth is proposed by utilising the asymptotic steady-state wave solution by Faltinsen et al. (J. Fluid Mech., vol. 804, 2016, pp. 608–645). The tank performs a periodic horizontal motion with the forcing frequency close to the lowest natural sloshing frequency. The azimuthal mass transport (first observed in experiments by Prandtl (Z. Angew. Math. Mech., vol. 29(1/2), 1949, pp. 8–9)) is associated with the summarised effect of a vortical Eulerian-mean flow, which, as we show, is governed by the inviscid Craik–Leibovich equation, and an azimuthal non-Eulerian mean. Suggesting the mass-transport velocity tends to zero when approaching the vertical wall (supported by existing experiments) leads to a unique non-trivial solution of the Craik–Leibovich boundary problem and, thereby, gives an analytical expression for the summarised mass-transport velocity within the framework of the inviscid hydrodynamic model. The analytical solution is validated by comparing it with suitable experimental data. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Cambridge University Press | nb_NO |
dc.title | An inviscid analysis of the Prandtl azimuthal mass transport during swirl-type sloshing | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.pagenumber | 884-903 | nb_NO |
dc.source.volume | 865 | nb_NO |
dc.source.journal | Journal of Fluid Mechanics | nb_NO |
dc.identifier.doi | 10.1017/jfm.2019.94 | |
dc.identifier.cristin | 1707367 | |
dc.description.localcode | © 2019. This is the authors' accepted and refereed manuscript to the article. Locked until 27 August 2019 due to copyright restrictions. The final authenticated version is available online at: https://doi.org/10.1017/jfm.2019.94 | nb_NO |
cristin.unitcode | 194,64,20,0 | |
cristin.unitname | Institutt for marin teknikk | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |