dc.contributor.author | Tyvand, Peder A. | |
dc.contributor.author | Nøland, Jonas Kristiansen | |
dc.date.accessioned | 2020-08-24T08:57:20Z | |
dc.date.available | 2020-08-24T08:57:20Z | |
dc.date.created | 2020-06-28T10:28:18Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Transport in Porous Media. 2020, 134, 77-95 | en_US |
dc.identifier.issn | 0169-3913 | |
dc.identifier.uri | https://hdl.handle.net/11250/2673542 | |
dc.description.abstract | The onset of Darcy–Bénard convection in an unlimited horizontal porous layer is studied theoretically. The thermomechanical boundary conditions of Dirichlet or Neumann type at the lower and upper plane are switched from one type to another, at certain values of the horizontal x-coordinate. A semi-infinite portion of the lower boundary is defined as thermally conducting and impermeable, while the remaining boundary is open and with given heat flux. At the upper boundary, the same thermomechanical conditions are applied, but with a relative spatial displacement L and in the opposite spatial order. A domain of local destabilization around the origin is generated between the lines of discontinuity =±/2 x = ± L / 2 . The marginal state of convection is triggered centrally, while it is penetrative in the domains exterior to the central domain. The onset problem is solved numerically, with a general 3D mode of disturbance, but 2D disturbances are preferred in most cases. The critical Rayleigh number is given as a function of the dimensionless gap width L and the wavenumber k in the y direction along the lines of discontinuity in the boundary conditions. An asymptotic formula for 2D penetrative eigenfunctions is shown to be in agreement with the numerical results. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer Nature | en_US |
dc.relation.uri | https://link.springer.com/content/pdf/10.1007/s11242-020-01437-6.pdf | |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.subject | Multifysikk | en_US |
dc.subject | Multiphysics | en_US |
dc.subject | Matematisk fysikk | en_US |
dc.subject | Mathematical physics | en_US |
dc.title | Laterally Penetrative Onset of Convection in a Horizontal Porous Layer | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.subject.nsi | VDP::Fysikk: 430 | en_US |
dc.subject.nsi | VDP::Physics: 430 | en_US |
dc.source.pagenumber | 19 | en_US |
dc.source.volume | 134 | en_US |
dc.source.journal | Transport in Porous Media | en_US |
dc.source.issue | 77-95 | en_US |
dc.identifier.doi | https://doi.org/10.1007/s11242-020-01437-6 | |
dc.identifier.cristin | 1817416 | |
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://creativecommons.org/licenses/by/4.0/. | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |