open access

https://hdl.handle.net/2115/86604

Soft-lubrication interactions between a rigid sphere and an elastic wall

英語

colloids

2022-02-25

Cambridge University Press

Journal of fluid mechanics

933

A23

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.

学術雑誌論文

Accepted Manuscript

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.

0022-1120