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dc.contributor.authorTyvand, Peder A.
dc.contributor.authorNøland, Jonas Kristiansen
dc.date.accessioned2020-07-09T08:11:25Z
dc.date.available2020-07-09T08:11:25Z
dc.date.created2020-06-28T10:28:18Z
dc.date.issued2020
dc.identifier.citationTransport in Porous Media. 2020, 99en_US
dc.identifier.issn0169-3913
dc.identifier.urihttps://hdl.handle.net/11250/2661540
dc.description.abstractThe 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.isoengen_US
dc.relation.urihttps://link.springer.com/content/pdf/10.1007/s11242-020-01437-6.pdf
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.no*
dc.subjectMultifysikken_US
dc.subjectMultiphysicsen_US
dc.subjectMatematisk fysikken_US
dc.subjectMathematical physicsen_US
dc.titleLaterally Penetrative Onset of Convection in a Horizontal Porous Layeren_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionpublishedVersionen_US
dc.subject.nsiVDP::Fysikk: 430en_US
dc.subject.nsiVDP::Physics: 430en_US
dc.source.pagenumber19en_US
dc.source.volume99en_US
dc.source.journalTransport in Porous Mediaen_US
dc.source.issuePPen_US
dc.identifier.doihttps://doi.org/10.1007/s11242-020-01437-6
dc.identifier.cristin1817416
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode2


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Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal
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