dc.contributor.author | Tyvand, Peder A. | |
dc.contributor.author | Nøland, Jonas Kristiansen | |
dc.date.accessioned | 2019-11-19T09:59:42Z | |
dc.date.available | 2019-11-19T09:59:42Z | |
dc.date.created | 2019-11-10T00:16:00Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Transport in Porous Media. 2019, PP (99), . | nb_NO |
dc.identifier.issn | 0169-3913 | |
dc.identifier.uri | http://hdl.handle.net/11250/2629246 | |
dc.description.abstract | The 4th order Darcy-Benard eigenvalue problem for the onset of thermal convection in a 3D rectangular porous box is investigated. We start from a recent 2D model for a rectangle with hand-picked boundary conditions defying separation of variables so that the eigenfunctions are of non-normal mode type. In this paper, the previous 2D model is extended to 3D by a Fourier component with wavenumber $k$ in the horizontal y-direction, due to insulating and impermeable sidewalls. As a result, the eigenvalue problem is 2D in the vertical xz-plane, with k as a parameter. The transition from a preferred 2D mode to 3D mode of convection onset is studied with a 2D non-normal mode eigenfunction. We study the 2D eigenfunctions for a unit width in the lateral y direction to compare the four lowest modes k_m = m \pi~(m=0,1,2,3), to see whether the 2D mode (m=0) or a 3D mode (m >= 1) is preferred. Further, a continuous spectrum is allowed for the lateral wavenumber $k$, searching for the global minimum Rayleigh number at k=k_c and the transition between 2D and 3D flow at k=k*. Finally, these wavenumbers k_c and k* are studied as functions of the aspect ratio. | nb_NO |
dc.description.abstract | A Non-normal-mode Marginal State of Convection in a Porous Box with Insulating End-Walls | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Springer Verlag | nb_NO |
dc.relation.uri | https://link.springer.com/article/10.1007/s11242-019-01361-4 | |
dc.title | A Non-normal-mode Marginal State of Convection in a Porous Box with Insulating End-Walls | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.pagenumber | 19 | nb_NO |
dc.source.volume | PP | nb_NO |
dc.source.journal | Transport in Porous Media | nb_NO |
dc.source.issue | 99 | nb_NO |
dc.identifier.doi | https://doi.org/10.1007/s11242-019-01361-4 | |
dc.identifier.cristin | 1745703 | |
dc.description.localcode | This is a post-peer-review, pre-copyedit version of an article published in [Transport in Porous Media] Locked until 9.11.2020 due to copyright restrictions. The final authenticated version is available online at: https://doi.org/10.1007/s11242-019-01361-4 | nb_NO |
cristin.unitcode | 194,63,0,0 | |
cristin.unitname | Fakultet for informasjonsteknologi og elektroteknikk | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |