Capillary lubrication of a spherical particle near a fluid interface
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_ | 1866916993986199552 |
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| author | Jha, Aditya Amarouchene, Yacine Salez, Thomas |
| author_facet | Jha, Aditya Amarouchene, Yacine Salez, Thomas |
| contents | The lubricated motion of an object near a deformable boundary presents striking subtleties arising from the coupling between the elasticity of the boundary and lubricated flow, including but not limited to the emergence of a lift force acting on the object despite the zero Reynolds number. In this study, we characterize the hydrodynamic forces and torques felt by a sphere translating in close proximity to a fluid interface, separating the viscous medium of the sphere's motion from an infinitely-more-viscous medium. We employ lubrication theory and perform a perturbation analysis in capillary compliance. The dominant response of the interface owing to surface tension results in a long-ranged interface deformation, which leads to a modification of the forces and torques with respect to the rigid reference case, that we characterise in details with scaling arguments and numerical integrations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13265 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Capillary lubrication of a spherical particle near a fluid interface Jha, Aditya Amarouchene, Yacine Salez, Thomas Soft Condensed Matter Classical Physics Fluid Dynamics The lubricated motion of an object near a deformable boundary presents striking subtleties arising from the coupling between the elasticity of the boundary and lubricated flow, including but not limited to the emergence of a lift force acting on the object despite the zero Reynolds number. In this study, we characterize the hydrodynamic forces and torques felt by a sphere translating in close proximity to a fluid interface, separating the viscous medium of the sphere's motion from an infinitely-more-viscous medium. We employ lubrication theory and perform a perturbation analysis in capillary compliance. The dominant response of the interface owing to surface tension results in a long-ranged interface deformation, which leads to a modification of the forces and torques with respect to the rigid reference case, that we characterise in details with scaling arguments and numerical integrations. |
| title | Capillary lubrication of a spherical particle near a fluid interface |
| topic | Soft Condensed Matter Classical Physics Fluid Dynamics |
| url | https://arxiv.org/abs/2407.13265 |