Forchheimer–Bénard Instability of the Non-Newtonian Fluid
The present paper examines the effect of vertical throughflow on the onset of convective instability in a horizontal porous layer filled with a non-Newtonian power-law fluid (PL). The permeable boundary layers are exposed to two different uniform constant temperature conditions, The Oberbeck-Boussin...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2023-01-01
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| Series: | E3S Web of Conferences |
| Subjects: | |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/106/e3sconf_icegc2023_00046.pdf |
| _version_ | 1797344981964292096 |
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| author | El Fakiri Hanae Lagziri Hajar Moussa Rachida El Bouardi Abdelmajid Lahlaouti Mohammed Lhassane |
| author_facet | El Fakiri Hanae Lagziri Hajar Moussa Rachida El Bouardi Abdelmajid Lahlaouti Mohammed Lhassane |
| author_sort | El Fakiri Hanae |
| collection | DOAJ |
| description | The present paper examines the effect of vertical throughflow on the onset of convective instability in a horizontal porous layer filled with a non-Newtonian power-law fluid (PL). The permeable boundary layers are exposed to two different uniform constant temperature conditions, The Oberbeck-Boussinesq hypothesis is considered with the Darcy-Forchheimer model. A fourth-order eigenvalue problem is stemmed from the performance of the linear stability analysis, and the critical values are obtained using the shooting method combined with the Runge-Kutta method. The non-Newtonian Darcy-Rayleigh number (R), the Péclet number (Pe), the Forchheimer number (G), and the power-law index (n) are the parameters whose value play a crucial role in the onset of instability. The finding shows more stabilizing effects arise in pseudoplastic fluid than dilatant one at Peclet number Pe << 1 where the inverse behaviour takes place at large Peclet number even with the existence of the drag number or without it. |
| first_indexed | 2024-03-08T11:10:52Z |
| format | Article |
| id | doaj.art-de497d5dd6c74941bf74348cffd97d9c |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-03-08T11:10:52Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-de497d5dd6c74941bf74348cffd97d9c2024-01-26T10:45:10ZengEDP SciencesE3S Web of Conferences2267-12422023-01-014690004610.1051/e3sconf/202346900046e3sconf_icegc2023_00046Forchheimer–Bénard Instability of the Non-Newtonian FluidEl Fakiri Hanae0Lagziri Hajar1Moussa Rachida2El Bouardi Abdelmajid3Lahlaouti Mohammed Lhassane4Energy Laboratory, Physics Department, Faculty of Sciences, Abdelmalek Essaadi UniversityEnergy Laboratory, Physics Department, Faculty of Sciences, Abdelmalek Essaadi UniversityAdvanced Materials, Structures and Civil Engineering Laboratory, National School of Applied Sciences at Tetouan, Abdelmalek Essaadi UniversityEnergy Laboratory, Physics Department, Faculty of Sciences, Abdelmalek Essaadi UniversityEnergy Laboratory, Physics Department, Faculty of Sciences, Abdelmalek Essaadi UniversityThe present paper examines the effect of vertical throughflow on the onset of convective instability in a horizontal porous layer filled with a non-Newtonian power-law fluid (PL). The permeable boundary layers are exposed to two different uniform constant temperature conditions, The Oberbeck-Boussinesq hypothesis is considered with the Darcy-Forchheimer model. A fourth-order eigenvalue problem is stemmed from the performance of the linear stability analysis, and the critical values are obtained using the shooting method combined with the Runge-Kutta method. The non-Newtonian Darcy-Rayleigh number (R), the Péclet number (Pe), the Forchheimer number (G), and the power-law index (n) are the parameters whose value play a crucial role in the onset of instability. The finding shows more stabilizing effects arise in pseudoplastic fluid than dilatant one at Peclet number Pe << 1 where the inverse behaviour takes place at large Peclet number even with the existence of the drag number or without it.https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/106/e3sconf_icegc2023_00046.pdfthermal instabilityporous medianon-newtonian fluidsdarcy– forchheimer modelform draglinear stability analysis |
| spellingShingle | El Fakiri Hanae Lagziri Hajar Moussa Rachida El Bouardi Abdelmajid Lahlaouti Mohammed Lhassane Forchheimer–Bénard Instability of the Non-Newtonian Fluid E3S Web of Conferences thermal instability porous media non-newtonian fluids darcy– forchheimer model form drag linear stability analysis |
| title | Forchheimer–Bénard Instability of the Non-Newtonian Fluid |
| title_full | Forchheimer–Bénard Instability of the Non-Newtonian Fluid |
| title_fullStr | Forchheimer–Bénard Instability of the Non-Newtonian Fluid |
| title_full_unstemmed | Forchheimer–Bénard Instability of the Non-Newtonian Fluid |
| title_short | Forchheimer–Bénard Instability of the Non-Newtonian Fluid |
| title_sort | forchheimer benard instability of the non newtonian fluid |
| topic | thermal instability porous media non-newtonian fluids darcy– forchheimer model form drag linear stability analysis |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/106/e3sconf_icegc2023_00046.pdf |
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