BERTIN, Vincent; AMAROUCHENE, Yacine; RAPHAEL, Elie; SALEZ, Thomas

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BERTIN, Vincent
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
Gulliver (UMR 7083)

AMAROUCHENE, Yacine
Laboratoire Ondes et Matière d'Aquitaine [LOMA]

RAPHAEL, Elie
Gulliver (UMR 7083)

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Article de revue

Ce document a été publié dans

Journal of Fluid Mechanics. 2022, vol. 933, p. A23

Cambridge University Press (CUP)

Résumé en anglais

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.< Réduire

Project ANR

Mouvement brownien au voisinage d'interfaces molles - ANR-21-ERCC-0010

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Laboratoire Ondes et Matière d'Aquitaine (LOMA) - UMR 5798