dc.contributor.author | Tyvand, Peder A. | |
dc.contributor.author | Nøland, Jonas Kristiansen | |
dc.date.accessioned | 2021-02-23T07:51:37Z | |
dc.date.available | 2021-02-23T07:51:37Z | |
dc.date.created | 2020-03-19T00:43:00Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Transport in Porous Media. 2020, 132 (3), 535-559. | en_US |
dc.identifier.issn | 0169-3913 | |
dc.identifier.uri | https://hdl.handle.net/11250/2729633 | |
dc.description.abstract | The analytical theory on Darcy–Bénard convection is dominated by normal-mode approaches, which essentially reduce the spatial order from four to two. This paper goes beyond the normal-mode paradigm of convection onset in a porous rectangle. A handpicked case where all four corners of the rectangle are non-analytical is therefore investigated. The marginal state is oscillatory with one-way horizontal wave propagation. The time-periodic convection pattern has no spatial periodicity and requires heavy numerical computation by the finite element method. The critical Rayleigh number at convection onset is computed, with its associated frequency of oscillation. Snapshots of the 2D eigenfunctions for the flow field and temperature field are plotted. Detailed local gradient analyses near two corners indicate that they hide logarithmic singularities, where the displayed eigenfunctions may represent outer solutions in matched asymptotic expansions. The results are validated with respect to the asymptotic limit of Nield (Water Resour Res 11:553–560, 1968). | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.relation.uri | https://link.springer.com/article/10.1007/s11242-020-01403-2 | |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Oscillatory Convection Onset in a Porous Rectangle with Non-analytical Corners | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.pagenumber | 535-559 | en_US |
dc.source.volume | 132 | en_US |
dc.source.journal | Transport in Porous Media | en_US |
dc.source.issue | 3 | en_US |
dc.identifier.doi | 10.1007/s11242-020-01403-2 | |
dc.identifier.cristin | 1802322 | |
dc.description.localcode | Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creat iveco mmons .org/licen ses/by/4.0/. | en_US |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |