Interface-resolved simulations of the confinement effect on the sedimentation of a sphere in yield-stress fluids

Sarabian, Mohammad; Rosti, Marco E.; Brandt, Luca

doi:10.1016/j.jnnfm.2022.104787

Cited by 6 publications

(10 citation statements)

References 49 publications

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“…The case at Bn = 0 corresponds to the purely viscoelastic case. It can be readily observed that: i) the presence of a confining wall hinders the sedimentation speed, as also found for a Newtonian fluid [42], ii) higher Bingham numbers slow down the sedimentation, in agreement with unconfined systems [24,30], iii) at a particle-wall distance of about 10 radii, the curves become nearly horizontal denoting that the wall has a negligible effect in the settling phenomenon, i.e., the system can be considered unconfined, iv) increasing the Weissenberg number speeds up the sedimentation although the effect is quantitatively small. Regarding the effect of the Weissenberg number on the sedimentation speed, a vast literature exists for a spherical particle in a viscoelastic fluid (see, e.g., Ref.…”

Section: Resultssupporting

confidence: 68%

“…Figure 2 compares the numerical results between the present work, Fraggedakis et al [24] and Sarabian et al [30] for W i = 1 and three values of the Bingham number. The agreement is quantitatively good and the small deviations may be attributed to the different numerical methods employed in these works.…”

Section: Numerical Method Convergence and Validationmentioning

confidence: 58%

“…The case of a sedimenting sphere in an EVP fluid modelled through the Saramito constitutive equation in an infinite medium is considered. The computed steady-state [24], Sarabian et al [30], and the present work. The fluid is modelled by the Saramito constitutive equation obtained by setting α = 0 in Eq.…”

Section: Numerical Method Convergence and Validationmentioning

confidence: 94%

“…The particle radius R is chosen as characteristic length. Following Fraggedakis et al [24] and Sarabian et al [30], we selected the characteristic velocity as the one obtained by balancing viscous and buoyancy forces U c = 3F/(4πR η 0 ). Consequently, the characteristic time is t c = R/U c .…”

Section: Dimensionless Equationsmentioning

confidence: 99%

“…More recently, Sarabian et al [30] investigated through numerical simulations the confinement effect on the sedimentation of a single spherical particle in elastoviscoplastic fluids between two parallel walls under weak inertial conditions. The fluid is modelled through the Saramito constitutive equation and the immersed boundary method is used to handle the rigid particle motion.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Sedimentation and migration dynamics of a spherical particle in an elastoviscoplastic fluid near a wall

Yazdi¹,

D’Avino²

2023

Preprint

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The sedimentation of a spherical particle in an elastoviscoplastic fluid in proximity of a flat wall is investigated by direct numerical simulations.The governing equations under inertialess conditions are solved by the finite element method with an Arbitrary Lagrangian-Eulerian formulation to manage the particle motion. The fluid is modeled with the Giesekus constitutive equation modified as proposed by Saramito (2007).The sedimentation, migration, and angular velocities are computed as a function of the particle-wall distance for various Weissenberg and Bingham numbers. The presence of a yield stress reduces the settling velocity and reverses the migration direction as compared to the purely viscoelastic case.The effect of the confining wall on the yielded and unyielded regions around the particle is investigated. The reversed particle migration phenomenon observed in the elastoviscoplastic fluid is attributed to the different shear rate distribution around the particle due to the presence of the yielded region.

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Section: Resultssupporting

confidence: 68%

Section: Numerical Method Convergence and Validationmentioning

confidence: 58%

Section: Numerical Method Convergence and Validationmentioning

confidence: 94%

Section: Dimensionless Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Sedimentation and migration dynamics of a spherical particle in an elastoviscoplastic fluid near a wall

Yazdi¹,

D’Avino²

2023

Preprint

View full text Add to dashboard Cite

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Sedimentation and migration dynamics of a spherical particle in an elastoviscoplastic fluid near a wall

Yazdi

D’Avino

2023

Journal of Non-Newtonian Fluid Mechanics

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Influence of elasticity of high-concentration paste on unsteady flow in pipeline transportation

Zheng,

Wang,

Lyu

et al. 2024

Physics of Fluids

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In high-pressure pulsatile pipeline transport of high-concentration viscous paste, severe backflow is generated when there are sudden pressure drops due to the paste's elastic recovery, resulting in strong impact and damage to the pipeline system. The paste demonstrates high viscosity, yield stress, compressibility, and shear elasticity. Nevertheless, the effect of the paste's elastoviscoplasticity properties on unsteady flow during pipeline transport remains uncertain. Consequently, we derived the unsteady flow control equations of the paste that accounts for the elastoviscoplasticity behavior and linear compressibility. We conducted experimental research by building a circulating pipeline transportation system and performed numerical analysis using the finite-volume method (modified RheoFoam solver). The results demonstrate a substantial increase in pressure fluctuations within the pipeline during rapid pressure drops due to the elasticity of the paste. When accounting for elasticity, the maximum backflow velocity increases by 32.4% compared to cases where elasticity is not considered. The backflow velocity during piston pump reversal is influenced by the pressure level and the rate of pressure drop. Pressure fluctuations are more likely to propagate along the pipeline during high-pressure than during low-pressure periods. These findings offer guidance for analyzing unsteady flow characteristics in paste pipeline transport and designing pipeline systems.

show abstract

Interface-resolved simulations of the confinement effect on the sedimentation of a sphere in yield-stress fluids

Cited by 6 publications

References 49 publications

Sedimentation and migration dynamics of a spherical particle in an elastoviscoplastic fluid near a wall

Sedimentation and migration dynamics of a spherical particle in an elastoviscoplastic fluid near a wall

Sedimentation and migration dynamics of a spherical particle in an elastoviscoplastic fluid near a wall

Influence of elasticity of high-concentration paste on unsteady flow in pipeline transportation

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