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Modelling the dynamics of a sphere approaching and bouncing on a wall in a viscous fluid

Abstract : The canonical configuration of a solid particle bouncing on a wall in a viscous fluid is considered here, focusing on rough particles as encountered in most of the laboratory experiments or applications. In that case, the particle deformation is not expected to be significant prior to solid contact. An immersed boundary method (IBM) allowing the fluid flow around the solid particle to be numerically described is combined with a discrete element method (DEM) in order to numerically investigate the dynamics of the system. Particular attention is paid to modelling the lubrication force added in the discrete element method, which is not captured by the fluid solver at very small scale. Specifically, the proposed numerical model accounts for the surface roughness of real particles through an effective roughness length in the contact model, and considers that the time scale of the contact is small compared to that of the fluid. The present coupled method is shown to quantitatively reproduce available experimental data and in particular is in very good agreement with recent measurement of the dynamics of a particle approaching very close to a wall in the viscous regime St
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Submitted on : Friday, April 18, 2014 - 2:18:47 PM
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Edouard Izard, Thomas Bonometti, Laurent Lacaze. Modelling the dynamics of a sphere approaching and bouncing on a wall in a viscous fluid. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2014, vol. 747, pp. 422-446. ⟨10.1017/jfm.2014.145⟩. ⟨hal-00980559⟩



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