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Soft-lubrication interactions between a rigid sphere and an elastic wall
| Title: | Soft-lubrication interactions between a rigid sphere and an elastic wall |
| Authors: | Bertin, Vincent Browse this author | | Amarouchene, Yacine Browse this author | | Raphael, Elie Browse this author | | Salez, Thomas Browse this author |
| Keywords: | lubrication theory | | colloids |
| Issue Date: | 25-Feb-2022 |
| Publisher: | Cambridge University Press |
| Journal Title: | Journal of fluid mechanics |
| Volume: | 933 |
| Start Page: | A23 |
| Publisher DOI: | 10.1017/jfm.2021.1063 |
| Abstract: | The motion of an object within a viscous fluid and in the vicinity of a soft surface induces a hydrodynamic stress field that deforms the latter, thus modifying the boundary conditions of the flow. This results in elastohydrodynamic interactions experienced by the particle. Here, we derive a soft-lubrication model, in order to compute all the forces and torque applied on a rigid sphere that is free to translate and rotate near an elastic wall. We focus on the limit of small deformations of the surface with respect to the fluid-gap thickness, and perform a perturbation analysis in dimensionless compliance. The response is computed in the framework of linear elasticity, for planar elastic substrates in the limiting cases of thick and thin layers. The EHD forces are also obtained analytically using the Lorentz reciprocal theorem. |
| Rights: | This article has been published in a revised form in Journal of fluid mechanics https://doi.org/10.1017/jfm.2021.1063. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © copyright holder. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/86604 |
| Appears in Collections: | 生命科学院・先端生命科学研究院 (Graduate School of Life Science / Faculty of Advanced Life Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: SALEZ THOMAS BLAISE
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