HUSCAP logo Hokkaido Univ. logo

Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Life Science / Faculty of Advanced Life Science >
Peer-reviewed Journal Articles, etc >

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

Files in This Item:
J. Fluid Mech. 933_A23.pdf835.06 kBPDFView/Open
Please use this identifier to cite or link to this item:

Title: Soft-lubrication interactions between a rigid sphere and an elastic wall
Authors: Bertin, Vincent Browse this author
Amarouchene, Yacine Browse this author
Raphael, Elie Browse this author
Salez, Thomas Browse this author
Keywords: lubrication theory
Issue Date: 25-Feb-2022
Publisher: Cambridge University Press
Journal Title: Journal of fluid mechanics
Volume: 933
Start Page: A23
Publisher 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 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.
Rights: This article has been published in a revised form in Journal of fluid mechanics 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.
Type: article (author version)
Appears in Collections:生命科学院・先端生命科学研究院 (Graduate School of Life Science / Faculty of Advanced Life Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)


Export metadata:

OAI-PMH ( junii2 , jpcoar_1.0 )

MathJax is now OFF:


 - Hokkaido University