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

hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
hal.structure.identifierGulliver (UMR 7083)
dc.contributor.authorBERTIN, Vincent
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorAMAROUCHENE, Yacine
hal.structure.identifierGulliver (UMR 7083)
dc.contributor.authorRAPHAEL, Elie
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorSALEZ, Thomas
dc.date.issued2022
dc.identifier.issn0022-1120
dc.description.abstractEnThe 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.
dc.description.sponsorshipMouvement brownien au voisinage d'interfaces molles - ANR-21-ERCC-0010
dc.language.isoen
dc.publisherCambridge University Press (CUP)
dc.title.enSoft-lubrication interactions between a rigid sphere and an elastic wall
dc.typeArticle de revue
dc.subject.halPhysique [physics]/Matière Condensée [cond-mat]/Matière Molle [cond-mat.soft]
dc.subject.halPhysique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn]
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des solides [physics.class-ph]
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des matériaux [physics.class-ph]
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
dc.identifier.arxiv2104.00900
bordeaux.journalJournal of Fluid Mechanics
bordeaux.pageA23
bordeaux.volume933
bordeaux.peerReviewedoui
hal.identifierhal-03187191
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03187191v1
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