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Interaction entre deux sphères sédimentant en fluide non Newtonien: PIV et simulation Lattice Boltzmann

Abstract : Settling of solid spheres in non newtonian fluid is a wide spread phenomenon in industrial applications. A realistic model of a suspension’s behavior requires to take interactions between spheres into account. Such a problem is much more difficult when the liquid phase is a non newtonian one. Interactions between two solid spheres settling in-line in a non newtonian fluid are studied here through both experiments and numerical simulations. Earlier experimental studies revealed a complex flow field around isolated spheres settling in non newtonian fluids, especialy the negative wake, which could be supposed to give rise to repulsive interactions between interacting spheres. On the contrary, two spheres settling in-line exhibit attractive interactions. We performed flow field measurements, using a PIV device, and showed that the negative wake does exist between two spheres settling in-line, but disapears progressivley when the distance between spheres decreases. In order to explain such a phenomenon, we performed lattice Boltzmann simulations, viscoelastic and shear thinning properties of the fluid beeing modeled with the help of a rheological equation. Dynamics of the spheres is deduced from a force balance including wheight, buoyancy and drag force, deduced from the lattice Boltzmann model. A good agreement with expermients is obtained. Present results suggest that acceleration of the following sphere is due to a dynamic competition between repulsive interaction, due to tthe negative wake and attractive ones, due to shear thinning effects.
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https://hal.inrae.fr/hal-02916277
Contributor : Xavier Frank <>
Submitted on : Tuesday, September 1, 2020 - 5:12:19 PM
Last modification on : Monday, March 29, 2021 - 4:07:31 PM
Long-term archiving on: : Wednesday, December 2, 2020 - 2:39:17 PM

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  • HAL Id : hal-02916277, version 1

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Xavier Frank, Mohammed Kemiha, Huai-Zhi Li. Interaction entre deux sphères sédimentant en fluide non Newtonien: PIV et simulation Lattice Boltzmann. CFM'07- 18ème Congrès Français de Mécanique, Aug 2007, Grenoble, France. 6 p. ⟨hal-02916277⟩

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