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dc.contributor.authorStoresletten, Leiv
dc.contributor.authorBarletta, Antonio
dc.date.accessioned2010-01-21T16:15:47Z
dc.date.issued2009
dc.identifier.citationStoresletten, L., & Barletta, A. (2009). Linear instability of mixed convection of cold water in a porous layer induced by viscous dissipation. International Journal of Thermal Sciences, 48(4), 655-664. doi: 10.1016/j.ijthermalsci.2008.06.012en
dc.identifier.issn1290-0729
dc.identifier.urihttp://hdl.handle.net/11250/138140
dc.descriptionAccepted version of an article published in the journal: International Journal of Thermal Sciences, Elsevier Published version available on Science Direct: http://dx.doi.org/10.1016/j.ijthermalsci.2008.06.012en
dc.description.abstractAn analysis of linear stability of the stationary laminar Darcy flow in a horizontal porous layer is performed. The porous layer is saturated with cold water. The upper plane boundary is assumed to be subject to heat transfer with finite conductance to an environment at the temperature of maximum density of cold water. The lower plane boundary is adiabatic. Convective instabilities are caused by flow viscous dissipation, inducing a basic temperature distribution that decreases in the upward direction. For prescribed values of the Biot number Bi and the Gebhart number Ge, the critical values of the product , where Pe is the Péclet number associated to the basic flow solution, are determined. Disturbances in the form of oblique rolls are analyzed. It is shown that: transverse rolls are preferred at the onset of convection; critical values of R are almost independent of Ge for realistic values of this parameter; critical values of R depend on Bi and lie in an interval .en
dc.format.extent766293 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoengen
dc.publisherElsevieren
dc.titleLinear instability of mixed convection of cold water in a porous layer induced by viscous dissipationen
dc.typeJournal articleen
dc.typePeer revieweden
dc.subject.nsiVDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413en
dc.subject.nsiVDP::Mathematics and natural science: 400::Physics: 430en
dc.source.pagenumber665-664en
dc.source.volume48en
dc.source.journalInternational Journal of Thermal Sciencesen
dc.source.issue4en


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