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dc.contributor.authorBarletta, Antonio
dc.contributor.authorRossi di Schio, Eugenia
dc.contributor.authorStoresletten, Leiv
dc.date.accessioned2013-07-24T12:42:47Z
dc.date.available2013-07-24T12:42:47Z
dc.date.issued2013
dc.identifier.citationBarletta, A., Rossi di Schio, E., & Storesletten, L. (2013). Convective instability in a horizontal porous channel with permeable and conducting side boundaries. Transport in Porous Media. doi: 10.1007/s11242-013-0198-yno_NO
dc.identifier.urihttp://hdl.handle.net/11250/138205
dc.descriptionPublished version of an article in the journal: Transport in Porous Media. Also available on Science Direct: http://dx.doi.org/10.1007/s11242-013-0198-yno_NO
dc.description.abstractThe stability analysis of the motionless state of a horizontal porous channel with rectangular cross-section and saturated by a fluid is developed. The heating from below is modelled by a uniform flux, while the top wall is assumed to be isothermal. The side boundaries are considered as permeable and perfectly conducting. The linear stability of the basic state is studied for the normal mode perturbations. The principle of exchange of stabilities is proved, so that only stationary normalmodes need to be considered in the stability analysis.The eigenvalue problem for the neutral stability condition is solved analytically, and a closed-form dispersion relation is obtained for the neutral stability. The Darcy–Rayleigh number is expressed as an implicit function of the longitudinalwave number and of the aspect ratio. The critical wave number and the critical Darcy–Rayleigh number are evaluated for different aspect ratios. The preferredmodes under critical conditions are detected. It is found that the selected patterns of instability at the critical Rayleigh number are two-dimensional, for slender or square cross-sections of the channel. On the other hand, instability is three dimensional when the critical width-to-height ratio, 1.350517, is exceeded. Eventually, the effects of a finite longitudinal length of the channel are discussed.no_NO
dc.language.isoengno_NO
dc.publisherSpringerno_NO
dc.titleConvective instability in a horizontal porous channel with permeable and conducting side boundariesno_NO
dc.typeJournal articleno_NO
dc.typePeer reviewedno_NO
dc.subject.nsiVDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413no_NO
dc.subject.nsiVDP::Mathematics and natural science: 400::Physics: 430no_NO
dc.source.pagenumber19 p.no_NO
dc.source.journalTransport in Porous Mediano_NO
dc.identifier.doi10.1007/s11242-013-0198-y


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