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

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.
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https://hal.archives-ouvertes.fr/hal-03187191
Contributor : Thomas Salez Connect in order to contact the contributor
Submitted on : Thursday, June 17, 2021 - 9:57:39 PM
Last modification on : Tuesday, January 4, 2022 - 6:29:48 AM

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  • HAL Id : hal-03187191, version 2
  • ARXIV : 2104.00900

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Vincent Bertin, Yacine Amarouchene, Elie Raphael, Thomas Salez. Soft-lubrication interactions between a rigid sphere and an elastic wall. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2022, 933, pp.A23. ⟨hal-03187191v2⟩

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