2006
DOI: 10.1016/j.jnnfm.2006.03.015
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Numerical simulation of particle sedimentation in shear-thinning fluids with a fictitious domain method

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Cited by 79 publications
(96 citation statements)
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“…An interesting observation in this respect is the decreasing power dissipation by the dispersion concomitant with increasing colloidal alignment, which might place this ordering phenomenon within the wider-yet still incompletely understood-context of dissipative non-equilibrium steady states. 48,49 An important difference between the simulation approach advocated here and the approaches taken by most authors studying colloids in viscoelastic fluids 13,20,21,51 is that we do not employ a numerical Navier-Stokes solver to explicitly calculate the flow field throughout the entire simulation box. The RaPiD approach drastically reduces the computational burden, thereby enabling RaPiD to simulate larger systems with more colloids and in full three-dimensional space.…”
Section: Discussionmentioning
confidence: 99%
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“…An interesting observation in this respect is the decreasing power dissipation by the dispersion concomitant with increasing colloidal alignment, which might place this ordering phenomenon within the wider-yet still incompletely understood-context of dissipative non-equilibrium steady states. 48,49 An important difference between the simulation approach advocated here and the approaches taken by most authors studying colloids in viscoelastic fluids 13,20,21,51 is that we do not employ a numerical Navier-Stokes solver to explicitly calculate the flow field throughout the entire simulation box. The RaPiD approach drastically reduces the computational burden, thereby enabling RaPiD to simulate larger systems with more colloids and in full three-dimensional space.…”
Section: Discussionmentioning
confidence: 99%
“…The problem of simulating colloids dispersed in viscoelastic fluids has been considered before by a number of groups, using lattice methods and Stokesian approaches to calculate flow fields subject to the boundary conditions posed by the colloids. Feng et al, 10 Binous and Phillips, Harlen, 12 Yu et al, 13 and Ardekani et al 14 simulated one and two spheres sedimenting through a viscoelastic fluid. Hwang et al 15 studied kissing and tumbling of two colloids in shear flow and observed strong shear-induced elongational flows between six colloids.…”
Section: Introductionmentioning
confidence: 99%
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“…It is also attested that the arrangement itself of the Lagrangian particle nodes may alter results. For spheres, the best results are obtained with nodes adequately arranged in concentric shells and with the nodes closest to the particle surface slightly retracted from it [25,39]. A generalization to arbitrary-shaped particles is believed to be tedious.…”
Section: Introductionmentioning
confidence: 99%
“…D'Avino et al [20][21][22] analyzed the rotation of a particle in a sheared viscoelastic liquid, and the shear-induced migration of a particle towards a wall. Flow-induced aggregation of a dozen colloids in a viscoelastic solution was simulated by Yu et al [125] for sedimenting particles and by Phillips and Talini [97] and Hwang and Hulsen [53] for suspensions exposed to a shear flow. We note that these studies have in common that the three-dimensional calculations have been limited to one and two colloidal particles in a viscoelastic fluid, while simulations with up to a dozen colloids were all restricted to two dimensions.…”
Section: Introductionmentioning
confidence: 99%