Direct simulations of spherical particles sedimenting in viscoelastic fluids

Goyal, N.; Derksen, J. J.

doi:10.1016/j.jnnfm.2012.07.006

Cited by 45 publications

(37 citation statements)

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“…Transient velocity oscillations also occur for a particle settling in viscoelastic fluids, often causing the particle to "rebound" during the first oscillation (Arigo & McKinley 1997;Goyal & Derksen 2012). The pulsatile character of blood circulation is an important example of unsteady channel flow of a non-Newtonian fluid.…”

Section: Particle Migration During Flow Start-upmentioning

confidence: 99%

Dynamics of particle migration in channel flow of viscoelastic fluids

2015

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The migration of a sphere in the pressure-driven channel flow of a viscoelastic fluid is studied numerically. The effects of inertia, elasticity, shear-thinning viscosity, secondary flows and the blockage ratio are considered by conducting fully resolved direct numerical simulations over a wide range of parameters. In a Newtonian fluid in the presence of inertial effects, the particle moves away from the channel centreline. The elastic effects, however, drive the particle towards the channel centreline. The equilibrium position depends on the interplay between the elastic and inertial effects. Particle focusing at the centreline occurs in flows with strong elasticity and weak inertia. Both shear-thinning effects and secondary flows tend to move the particle away from the channel centreline. The effect is more pronounced as inertia and elasticity effects increase. A scaling analysis is used to explain these different effects. Besides the particle migration, particle-induced fluid transport and particle migration during flow start-up are also considered. Inertia effects, shear-thinning behaviour, and secondary flows are all found to enhance the effective fluid transport normal to the flow direction. Due to the oscillation in fluid velocity and strong normal stress differences that develop during flow start-up, the particle has a larger transient migration velocity, which may be potentially used to accelerate the particle-focusing.

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Section: Particle Migration During Flow Start-upmentioning

confidence: 99%

Dynamics of particle migration in channel flow of viscoelastic fluids

2015

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“…The cylinder ensures the fact that classical Poiseuille profiles are not a solution of the system in the viscoelastic case. This case was studied experimentally in [17], and computationally in [1,8] and recently in [9].…”

Section: Numerical Profilesmentioning

confidence: 99%

“…Considering the benchmark case studied in [9], numerical simulations have been performed with Re ¼ 0:67; We ¼ 1:0; r ¼ 0:6; a ¼ 0;…”

Section: Numerical Profilesmentioning

confidence: 99%

Stationary Oldroyd model with diffusive stress: Mathematical analysis of the model and vanishing diffusion process

Chupin

2015

Journal of Non-Newtonian Fluid Mechanics

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a b s t r a c tIn this paper we address the stationary Oldroyd model with diffusive stress in two ways: first we present the mathematical analysis of the model. Second, as the link between the diffusive model and the standard one is questionable from the mathematical point of view, we discuss, by means of numerical simulations, the behaviour of the model with respect to vanishing diffusion. In particular, numerical results in 2D or 3D suggest that the solution of the diffusive model converges to the solution of the non-diffusive model at order 1 in the L 2 -norm and H 1 -norm.

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“…The main reasons for employing the LBM for fluid flow simulations are its computational efficiency and its inherent parallelism, both not being hampered by geometrical complexity. Lattice-Boltzmann approaches are gaining traction in applications involving non-Newtonian liquids [12][13][14][15][16].…”

Section: Modeling Approachmentioning

confidence: 99%