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dc.contributor.authorBarletta, Antonio
dc.contributor.authordi Schio, Eugenia Rossi
dc.contributor.authorStoresletten, Leiv
dc.date.accessioned2010-12-15T14:40:31Z
dc.date.available2010-12-15T14:40:31Z
dc.date.issued2010
dc.identifier.citationBarletta, A., di Schio, E. R., & Storesletten, L. (2010). Convective Roll Instabilities of Vertical Throughflow with Viscous Dissipation in a Horizontal Porous Layer. Transport in Porous Media, 81(3), 461-477. doi: 10.1007/s11242-009-9417-yen_US
dc.identifier.issn0169-3913
dc.identifier.urihttp://hdl.handle.net/11250/138161
dc.descriptionPublished version of an article from the journal: Transport in Porous Media. The original publication is available at Spingerlink. http://dx.doi.org/10.1007/s11242-009-9417-yen_US
dc.description.abstractThe vertical throughflow with viscous dissipation in a horizontal porous layer is studied. The horizontal plane boundaries are assumed to be isothermal with unequal temperatures and bottom heating. A basic stationary solution of the governing equations with a uniform vertical velocity field (throughflow) is determined. The temperature field in the basic solution depends only on the vertical coordinate. Departures from the linear heat conduction profile are displayed by the temperature distribution due to the forced convection effect and to the viscous dissipation effect. A linear stability analysis of the basic solution is carried out in order to determine the conditions for the onset of convective rolls. The critical values of the wave number and of the Darcy-Rayleigh number are determined numerically by the fourth-order Runge-Kutta method. It is shown that, although generally weak, the effect of viscous dissipation yields an increase of the critical value of the Darcy-Rayleigh number for downward throughflow and a decrease in the case of upward throughflow. Finally, the limiting case of a vanishing boundary temperature difference is discussed.en_US
dc.language.isoengen_US
dc.publisherSpringeren_US
dc.titleConvective Roll Instabilities of Vertical Throughflow with Viscous Dissipation in a Horizontal Porous Layeren_US
dc.typeJournal articleen_US
dc.typePeer revieweden_US
dc.subject.nsiVDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413en_US
dc.subject.nsiVDP::Technology: 500::Materials science and engineering: 520en_US
dc.source.pagenumber461-477en_US


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