Data-driven closure model for the drag coefficient of the creeping flow past a translating sphere in a shear-thinning viscoelastic fluid

Su, Xuantao; Xu, Zhenbo; Wang, Zhi Guo; Jin, Hui; Wu, Song; Lu, Yinbin

doi:10.1016/j.powtec.2022.117266

Cited by 8 publications

(7 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is readily observed that the sedimentation and migration velocities are very weakly affected by the mobility parameter. Specifically, only a slight decrease of these two quantities is found, in agreement with the purely viscoelastic case [39,45]. A more relevant quantitative deviation at α = 0 is observed for the angular velocity at small particle-wall distances and for low Bingham numbers.…”

Section: Resultssupporting

confidence: 74%

“…Notice that the velocity decay is observed upstream the sphere too where a similar abrupt change of the axial stress occurs due to the transition from yielded to unyielded region. This is at variance with the purely viscoelastic case where a much weaker variation of the velocity field upstream the sphere is observed as the Weissenberg number is increased (see, e.g., Su et al [45]).…”

Section: Resultsmentioning

confidence: 71%

See 1 more Smart Citation

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

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.

show abstract

Section: Resultssupporting

confidence: 74%

Section: Resultsmentioning

confidence: 71%

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

show abstract

“…The simulation data with the Giesekus constitutive model are also validated against the results in previous studies [ 37 , 42 ], as shown in Figure 2 b. μ r denotes the ratio of the polymer viscosity to the zero shear viscosity. It shows good agreement between the current simulation results and the literature data.…”

Section: Resultssupporting

confidence: 61%

“…The maximum amplitude of the velocity fluctuation reaches above 6.0, indicating that the velocity there is much larger than the main stream velocity. This causes the so-called “negative wake” for a sphere that translates steadily in the wormlike micellar solutions, as reported by Chen and Rothstein [ 21 ] in experiments and as predicted in simulations using the Giesekus model by Su et al [ 37 ]. The velocity in the wake also fluctuates with time.…”

Section: Resultsmentioning

confidence: 71%

“…The governing equations for the transient, incompressible, and isothermal flow of wormlike micellar solutions include the continuity equation, the momentum equation, and the constitutive equations that define the extra elastic stress contribution, as reported by previous research [ 7 , 22 , 30 , 33 , 37 ].…”

Section: Mathematical Model and Numerical Considerationsmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Study on the Unstable Flow Dynamics of Wormlike Micellar Solutions past a Sphere in the Creeping Flow Regime

Wang

Liu

et al. 2023

Polymers

Self Cite

View full text Add to dashboard Cite

The flow dynamics of wormlike micellar solutions around a sphere is a fundamental problem in particle-laden complex fluids but is still understood insufficiently. In this study, the flows of the wormlike micellar solution past a sphere in the creeping flow regime are investigated numerically with the two species, micelles scission/reforming, Vasquez–Cook–McKinley (VCM) and the single-species Giesekus constitutive equations. The two constitutive models both exhibit the shear thinning and the extension hardening rheological properties. There exists a region with a high velocity that exceeds the main stream velocity in the wake of the sphere, forming a stretched wake with a large velocity gradient, when the fluids flow past a sphere at very low Reynolds numbers. We found a quasi-periodic fluctuation of the velocity with the time in the wake of the sphere using the Giesekus model, which shows a qualitative similarity with the results found in present and previous numerical simulations with the VCM model. The results indicate that it is the elasticity of the fluid that causes the flow instability at low Reynolds numbers, and the increase in the elasticity enhances the chaos of the velocity fluctuation. This elastic-induced instability might be the reason for the oscillating falling behaviors of a sphere in wormlike micellar solutions in prior experiments.

show abstract

Numerical simulations on the settling dynamics of an ellipsoidal particle in a viscoelastic fluid

D’Avino

2022

Journal of Non-Newtonian Fluid Mechanics

View full text Add to dashboard Cite

Data-driven closure model for the drag coefficient of the creeping flow past a translating sphere in a shear-thinning viscoelastic fluid

Cited by 8 publications

References 41 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

Numerical Study on the Unstable Flow Dynamics of Wormlike Micellar Solutions past a Sphere in the Creeping Flow Regime

Numerical simulations on the settling dynamics of an ellipsoidal particle in a viscoelastic fluid

Contact Info

Product

Resources

About