Effects of Neumann and Robin boundaries on the thermal instability
| dc.contributor.author | Lagziri, Hajar | |
| dc.contributor.author | El Fakiri, Hanae | |
| dc.contributor.author | El Bouardi, Abdelmajid | |
| dc.contributor.status | nem | |
| dc.date.accessioned | 2024-01-19T12:17:46Z | |
| dc.date.available | 2024-01-19T12:17:46Z | |
| dc.date.issued | 2023-10-10 | |
| dc.description.abstract | The thermo convective instability of the Darcy-Benard problem (DB) using Robin (third-kind) thermal conditions is investigated here. We consider a viscous Newtonian fluid saturating a porous layer in which the layer is sandwiched between two impermeable boundaries. The upper and the lower walls are modelled in the form of the Neumann (second-kind) and the Robin (third-kind) thermal conditions, respectively. The difference in the temperature distribution between both phases allows the lack of a local thermal equilibrium model to be present. As a consequence, the third kind of thermal condition brings about one extra dimensionless parameter of the Biot number to the usual one of the inter-heat transfer coefficient and the thermal conductivity ratio. The normal modes method adopted in a linear stability analysis gives rise to perturbed governing equations. The eigenvalue problem is handled numerically as a result of the perturbed governing equations leading to the marginal stability condition. | |
| dc.identifier.doi | 10.1556/1848.2022.00577 | |
| dc.identifier.issn | 2062-0810 | |
| dc.identifier.issue | 3 | |
| dc.identifier.jtitle | International Review of Applied Sciences and Engineering | |
| dc.identifier.uri | https://hdl.handle.net/2437/365287 | |
| dc.identifier.url | https://akjournals.com/view/journals/1848/14/3/article-p366.xml | |
| dc.identifier.volume | 14 | |
| dc.language.iso | en | |
| dc.publisher | Akadémiai Kiadó | |
| dc.subject | porous medium | |
| dc.subject | biot number | |
| dc.subject | heat flux | |
| dc.subject | local thermal non-equilibrium | |
| dc.subject | linear stability | |
| dc.title | Effects of Neumann and Robin boundaries on the thermal instability |