Analysis of a sedimenting suspension near a vertical wall
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866917633677328384 |
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| author | Gérard-Varet, David Mecherbet, Amina |
| author_facet | Gérard-Varet, David Mecherbet, Amina |
| contents | We consider a sedimenting suspension in a Stokes flow, in the presence of a vertical wall. We study the effect of a particle-depleted fluid layer near the wall on the bulk dynamics of the suspension. We show that this effect can be captured by an appropriate wall law of Navier type. We provide in this way a rigorous justification of the apparent slip observed in many experiments. We also discuss the phenomenon of intrinsic convection predicted in some physics articles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05539 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analysis of a sedimenting suspension near a vertical wall Gérard-Varet, David Mecherbet, Amina Analysis of PDEs Fluid Dynamics 35Q35, 76D07, 76M50 We consider a sedimenting suspension in a Stokes flow, in the presence of a vertical wall. We study the effect of a particle-depleted fluid layer near the wall on the bulk dynamics of the suspension. We show that this effect can be captured by an appropriate wall law of Navier type. We provide in this way a rigorous justification of the apparent slip observed in many experiments. We also discuss the phenomenon of intrinsic convection predicted in some physics articles. |
| title | Analysis of a sedimenting suspension near a vertical wall |
| topic | Analysis of PDEs Fluid Dynamics 35Q35, 76D07, 76M50 |
| url | https://arxiv.org/abs/2404.05539 |