dc.contributor.author | Barletta, Antonio | |
dc.contributor.author | Rossi di Schio, Eugenia | |
dc.contributor.author | Storesletten, Leiv | |
dc.date.accessioned | 2015-03-03T08:05:12Z | |
dc.date.available | 2015-03-03T08:05:12Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Barletta, A., Rossi di Schio, E., & Storesletten, L. (2014). On the thermal instability in a horizontal rectangular porous channel heated from below by a constant flux. Journal of Physics: Conference Series, 501(1), 1-10. doi: 10.1088/1742-6596/501/1/012003 | nb_NO |
dc.identifier.issn | 1742-6596 | |
dc.identifier.uri | http://hdl.handle.net/11250/278203 | |
dc.description | Published version of an article in the journal: Journal of Physics: Conference Series. Also available from the publisher at: http://dx.doi.org/10.1088/1742-6596/501/1/012003 Open Access | nb_NO |
dc.description.abstract | The onset of thermoconvective instability in a rectangular horizontal channel filled with a fluid-saturated porous medium is studied. The channel is heated from below with a constant flux. The top wall is maintained at a uniform constant temperature, while the lateral boundaries are permeable and perfectly conducting. The stability of the basic motionless state is analysed with respect to small-amplitude disturbances. The eigenvalue problem for the neutral stability condition is solved analytically for the normal modes. A closed-form expression is obtained for the implicit neutral stability relation between the Darcy-Rayleigh number and the longitudinal wave number. The critical condition, viz. the absolute minimum of the Darcy-Rayleigh number for the instability, is determined for different aspect ratios of the rectangular cross-section. The preferred modes under critical conditions are detected. It is found that the selected patterns of instability at the critical Rayleigh number may be 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. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Institute of Physics Publishing | nb_NO |
dc.title | On the thermal instability in a horizontal rectangular porous channel heated from below by a constant flux | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.subject.nsi | VDP::Mathematics and natural science: 400::Physics: 430 | nb_NO |
dc.source.pagenumber | 1-10 | nb_NO |
dc.source.volume | 501 | nb_NO |
dc.source.journal | Journal of Physics: Conference Series | nb_NO |
dc.identifier.doi | 10.1088/1742-6596/501/1/012003 | |