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Conference Papers Year : 2014

Pair-particle trajectories in Bingham shear flow

Hassan Fahs
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  • PersonId : 840256
Guillaume Ovarlez
Xavier Chateau


Using numerical simulations we discuss the hydrodynamic interactions of two particles suspended in a Bingham fluid subjected to linear shear flow. The computations are based on the fictitious domain method with distributed Lagrange multipliers. Most of our simulations are for two equal radii cylinders in two dimensions but some examples are given for two spheres in three dimensions. Fluid and particle inertia are not taken into account (Re=0). Three different contact models (smooth particles, Glowinsky model and Cunha-Hinch model) have been implemented. We calculate the change between the initial and final streamlines caused by roughness as a function of the initial separation of the particles, the Bingham number and the roughness size. We put into evidence that Bingham number has a strong impact on the asymmetry of the trajectories: larger the Bingham number larger the net displacement across streamlines caused by a collision. We also show that Glowinky and Cunha-Hinch roughness models have similar effect on the collision for well chosen Glowinski model's parameters. To conclude shear-induced microstructure in non-Brownian dilute suspensions of rough particles is computed which allows to determine the pair distribution function.
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Dates and versions

hal-01079087 , version 1 (31-10-2014)


  • HAL Id : hal-01079087 , version 1


Hassan Fahs, Guillaume Ovarlez, Xavier Chateau. Pair-particle trajectories in Bingham shear flow. 86th annual meeting of the Society of Rheology, Society of Rheology, Oct 2014, Philadelphia, United States. ⟨hal-01079087⟩
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