The effects of heterogeneity on Darcy-Benard convection saturated with a ferrofluid
This study investigates how the vertical magnetic field influences the stability of the ferrofluid in a heterogeneous porous layer with the vertical flow. The layer, confined between two impermeable walls, is subject to different heat flux conditions on each side. The behavior of the ferrofluid gove...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2025-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2025/01/e3sconf_icegc2024_00095.pdf |
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| author | Moussa Rachida Lagziri Hajar El Khanoussi Fadoua El Fakiri Hanae |
| author_facet | Moussa Rachida Lagziri Hajar El Khanoussi Fadoua El Fakiri Hanae |
| author_sort | Moussa Rachida |
| collection | DOAJ |
| description | This study investigates how the vertical magnetic field influences the stability of the ferrofluid in a heterogeneous porous layer with the vertical flow. The layer, confined between two impermeable walls, is subject to different heat flux conditions on each side. The behavior of the ferrofluid governed by Darcy’s law and the Oberbeck-Boussinesq approximation, while the magnetic field is modeled using Maxwell’s equations. A dimensionless formulation and linear stability analysis are employed to derive an ordinary differential equation, which is solved using the shooting method and a Runge-Kuttasolver. The results indicate that the transition of the wave number from zero to a nonzero value is connected to the Peclet number and other magnetic parameters. |
| format | Article |
| id | doaj-art-9cbe27556dce4926b6f26fbfefee16b0 |
| institution | Kabale University |
| issn | 2267-1242 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj-art-9cbe27556dce4926b6f26fbfefee16b02025-02-05T10:46:26ZengEDP SciencesE3S Web of Conferences2267-12422025-01-016010009510.1051/e3sconf/202560100095e3sconf_icegc2024_00095The effects of heterogeneity on Darcy-Benard convection saturated with a ferrofluidMoussa Rachida0Lagziri Hajar1El Khanoussi Fadoua2El Fakiri Hanae3Research team AMSCG, Laboratory ICST, National School of Applied Sciences, Abdelmalek Essaadi UniversityResearch team AMSCG, Laboratory ICST, National School of Applied Sciences, Abdelmalek Essaadi UniversityResearch team AMSCG, Laboratory ICST, National School of Applied Sciences, Abdelmalek Essaadi UniversityEnergy Laboratory, Faculty of Sciences, Abdelmalek Essaadi UniversityThis study investigates how the vertical magnetic field influences the stability of the ferrofluid in a heterogeneous porous layer with the vertical flow. The layer, confined between two impermeable walls, is subject to different heat flux conditions on each side. The behavior of the ferrofluid governed by Darcy’s law and the Oberbeck-Boussinesq approximation, while the magnetic field is modeled using Maxwell’s equations. A dimensionless formulation and linear stability analysis are employed to derive an ordinary differential equation, which is solved using the shooting method and a Runge-Kuttasolver. The results indicate that the transition of the wave number from zero to a nonzero value is connected to the Peclet number and other magnetic parameters.https://www.e3s-conferences.org/articles/e3sconf/pdf/2025/01/e3sconf_icegc2024_00095.pdf |
| spellingShingle | Moussa Rachida Lagziri Hajar El Khanoussi Fadoua El Fakiri Hanae The effects of heterogeneity on Darcy-Benard convection saturated with a ferrofluid E3S Web of Conferences |
| title | The effects of heterogeneity on Darcy-Benard convection saturated with a ferrofluid |
| title_full | The effects of heterogeneity on Darcy-Benard convection saturated with a ferrofluid |
| title_fullStr | The effects of heterogeneity on Darcy-Benard convection saturated with a ferrofluid |
| title_full_unstemmed | The effects of heterogeneity on Darcy-Benard convection saturated with a ferrofluid |
| title_short | The effects of heterogeneity on Darcy-Benard convection saturated with a ferrofluid |
| title_sort | effects of heterogeneity on darcy benard convection saturated with a ferrofluid |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2025/01/e3sconf_icegc2024_00095.pdf |
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