dc.contributor.author | Tyvand, Peder A. | |
dc.contributor.author | Nøland, Jonas Kristiansen | |
dc.date.accessioned | 2021-01-25T12:20:20Z | |
dc.date.available | 2021-01-25T12:20:20Z | |
dc.date.created | 2020-12-16T16:28:45Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Transport in Porous Media. 2020, . | en_US |
dc.identifier.issn | 0169-3913 | |
dc.identifier.uri | https://hdl.handle.net/11250/2724544 | |
dc.description.abstract | This is the first study reporting a full three-dimensional (3D) non-normal-mode onset of convection in a porous medium. In this paper, the onset of thermal convection in a vertical porous cylinder is investigated theoretically. In particular, the contribution includes the following novelties. The homogeneous cylinder has a circular cross section. The eigenvalue problem is non-separable in space because of a constant heat flux condition at the upper boundary. In addition, a partly conducting cylinder wall is represented by a Robin parameter a. All boundaries are impermeable. The eigenvalue problem is solved numerically in the COMSOL Multiphysics environment. The critical Rayleigh number for the lowest onset modes is reported as a function of the ratio of the cylinder radius and its height. The only mode number, m, represents azimuthal dependency. The axisymmetric mode m=0 corresponds to the preferred mode of convection for a small-cylinder radii. The numerical onset criterion is validated with the well-known analytical limit case, a→∞. Finally, we performed a visual comparison of the thermo-mechanical eigenfunctions against an established problem, where the only difference is the thermal condition at the upper boundary. The present 3D analysis is a step toward a full adequate modeling of experimental reality for convection onset, beyond the standard constraints of mathematical convenience. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.title | Non-normal-Mode Onset of Convection in a Vertical Porous Cylinder | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.source.pagenumber | 23 | en_US |
dc.source.journal | Transport in Porous Media | en_US |
dc.identifier.doi | 10.1007/s11242-020-01513-x | |
dc.identifier.cristin | 1860690 | |
dc.description.localcode | This is a post-peer-review, pre-copyedit version of an article. Locked until 24/11-2021 due to copyright restrictions. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11242-020-01513-x | en_US |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |