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dc.contributor.authorTyvand, Peder A.
dc.contributor.authorNøland, Jonas Kristiansen
dc.date.accessioned2019-11-04T09:19:46Z
dc.date.available2019-11-04T09:19:46Z
dc.date.created2019-09-19T00:33:56Z
dc.date.issued2019
dc.identifier.citationTransport in Porous Media. 2019, PP (99), .nb_NO
dc.identifier.issn0169-3913
dc.identifier.urihttp://hdl.handle.net/11250/2626303
dc.description.abstractThis paper investigates a peculiar case of thermal convection in a vertical porous prism with impermeable and partially conducting walls. We facilitate the analysis in the numerical finite-element environment alongside with analytical considerations, in special cases where direct solutions are feasible. The present eigenvalue problem results in a non-normal-mode behaviour in the horizontal cross-sectional plane. Further, it is identified that the stagnation points for the horizontal flow are displaced from the extremal points of the temperature perturbation, for both symmetric and antisymmetric eigenfunctions. In addition, the corresponding normal-mode counterparts are provided from an analogy solution. We show that the critical Rayleigh number decreases with increasing Robin parameter values for all of the investigated aspect ratios. Finally, the influence of the aspect ratio on the critical Rayleigh number for the fully conducting wall case is identified. An asymptotic benchmark case of the Robin condition is validated from well-known analytical solutions which confirm the effectiveness of the predictions made in this paper. In fact, this is the first contribution that reports a three-dimensional geometry with a two-dimensional non-normal mode.nb_NO
dc.language.isoengnb_NO
dc.publisherSpringer Verlagnb_NO
dc.relation.urihttps://link.springer.com/article/10.1007/s11242-019-01337-4
dc.titleOnset of Convection in a Triangular Porous Prism with Robin-Type Thermal Wall Conditionnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionacceptedVersionnb_NO
dc.source.pagenumber17nb_NO
dc.source.volumePPnb_NO
dc.source.journalTransport in Porous Medianb_NO
dc.source.issue99nb_NO
dc.identifier.doi10.1007/s11242-019-01337-4
dc.identifier.cristin1726498
dc.description.localcodeThis is a post-peer-review, pre-copyedit version of an article published in [Transport in Porous Media] Locked until 18.9.2020 due to copyright restrictions. The final authenticated version is available online at: https://doi.org/10.1007/s11242-019-01337-4nb_NO
cristin.unitcode194,63,0,0
cristin.unitnameFakultet for informasjonsteknologi og elektroteknikk
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode2


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