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Article Dans Une Revue Journal of Fluid Mechanics Année : 2020

Viscous dissipation in the collision between a sphere and a textured wall

Résumé

A model is presented for the bouncing dynamics of a fluid-immersed sphere impacting normally a textured wall with micropillars. By taking into account the hydrodynamic and contact interactions between the smooth sphere and the textured wall, the complete motion of the sphere is recovered when approaching, colliding with and bouncing off the wall. We demonstrate that the critical Stokes number for the bouncing transition, Stc , is the sum of two contributions corresponding to dissipation prior to and during the collision, both contributions being critically influenced by the geometrical parameters of the model roughness. The experimental data obtained from interferometric measurements are found to be in agreement with the theoretical predictions. In the bouncing regime, the coefficient of restitution is also derived analytically and shows a linear evolution with the Stokes number, St , just above the bouncing transition, in agreement with the experimental data obtained very close to Stc.
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Dates et versions

hal-03896883 , version 1 (26-06-2023)

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Anne Mongruel, Philippe Gondret. Viscous dissipation in the collision between a sphere and a textured wall. Journal of Fluid Mechanics, 2020, 896, pp.A8. ⟨10.1017/jfm.2020.325⟩. ⟨hal-03896883⟩
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