Soft-lubrication interactions between a rigid sphere and an elastic wall
arXiv:2104.00900 · 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 (EHD) 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.
References in corpus (1)
Cited by in corpus (5)
- Lift at low Reynolds number
- Capillary lubrication of a spherical particle near a fluid interface
- Modeling Leidenfrost levitation of soft elastic solids
- Dynamics of an internally actuated weakly elastic sphere translating parallel to a rigid wall
- Flow rate-pressure drop relation for deformable channels via fluidic and elastic reciprocal theorems