On force balance in Brinkman fluids under confinement
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908293244387328 |
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| author | Daddi-Moussa-Ider, Abdallah Vilfan, Andrej |
| author_facet | Daddi-Moussa-Ider, Abdallah Vilfan, Andrej |
| contents | A point force acting on a Brinkman fluid in confinement is always counterbalanced by the force on the porous medium, the force on the walls and the stress at open boundaries. We discuss the distribution of those forces in different geometries: a long pipe, a medium with a single no-slip planar boundary, a porous sphere with an open boundary and a porous sphere with a no-slip wall. We determine the forces using the Lorentz reciprocal theorem and additionally validate the results with explicit analytical flow solutions. We discuss the relevance of our findings for cellular processes such as cytoplasmic streaming and centrosome positioning. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10183 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On force balance in Brinkman fluids under confinement Daddi-Moussa-Ider, Abdallah Vilfan, Andrej Fluid Dynamics Soft Condensed Matter 74F10, 76D07, 76S05, 76Z05 A point force acting on a Brinkman fluid in confinement is always counterbalanced by the force on the porous medium, the force on the walls and the stress at open boundaries. We discuss the distribution of those forces in different geometries: a long pipe, a medium with a single no-slip planar boundary, a porous sphere with an open boundary and a porous sphere with a no-slip wall. We determine the forces using the Lorentz reciprocal theorem and additionally validate the results with explicit analytical flow solutions. We discuss the relevance of our findings for cellular processes such as cytoplasmic streaming and centrosome positioning. |
| title | On force balance in Brinkman fluids under confinement |
| topic | Fluid Dynamics Soft Condensed Matter 74F10, 76D07, 76S05, 76Z05 |
| url | https://arxiv.org/abs/2409.10183 |