Two particle interactions in a confined viscoelastic fluid under shear

Yoon, Sungho; Walkley, Mark A.; Harlen, Oliver G.

doi:10.1016/j.jnnfm.2012.07.003

Cited by 19 publications

(21 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This aforementioned method has been validated by comparing the numerical results of the ball rotating velocity in shear flow with the available results in literature. For the encounter of two balls in a bounded shear flow, the trajectories of the two ball mass centers are consistent with those obtained in [13]. We have further tested the cases of two ball interaction for the Weissenberg number up to 1; our results show the two balls either passing, returning, or tumbling in a bounded shear flow driven by two moving walls.…”

Section: Introductionsupporting

confidence: 77%

A 3D DLM/FD method for simulating the motion of spheres in a bounded shear flow of Oldroyd-B fluids

2018

View full text Add to dashboard Cite

We present a novel distributed Lagrange multiplier/fictitious domain (DLM/FD) method for simulating fluid-particle interaction in Oldroyd-B fluids under creeping conditions. The results concerning two ball interaction in a three dimensional (3D) bounded shear flow are obtained for Weissenberg numbers up to 1 . The pass and return trajectories of the two ball mass centers are similar to those in a Newtonian fluid; but they lose the symmetry due to the effect of elastic force arising from viscoelastic fluids. A tumbling chain of two balls (a dipole) may occur, depending on the value of the Weissenberg number and the initial vertical displacement of the ball mass center to the middle plane between two walls.

show abstract

Section: Introductionsupporting

confidence: 77%

A 3D DLM/FD method for simulating the motion of spheres in a bounded shear flow of Oldroyd-B fluids

2018

View full text Add to dashboard Cite

show abstract

“…The figure clearly shows that, with increasing confinement, or decreasing δ min , the range of orientation angles over which aggregation occurs substantially increases for a limited change in confinement value. Although only a two-dimensional particle configuration is used in this work, the fact that two spheres in the same velocity-velocity gradient plane exhibit qualitatively similar trajectories to cylinders, both in bulk and confined shear flow, 10,11,33,34 supports the hypothesis that a similar substantial effect of geometrical confinement on the aggregation of rigid spherical particles in shear flow can be expected. The cylinders represented by the two-dimensional calculations presented here could also be used as a model for fibers.…”

Section: B a Simplified Characterization Of Aggregate Formationmentioning

confidence: 54%

“…Zurita-Gotor et al 32 and Yan et al 33 showed that two spherical particles in confined shear flow can exhibit swapping trajectories, in which the particles exchange their transverse position and subsequently reverse their direction of motion upon interaction. Yoon et al 34 provide a phase diagram mapping out the conditions for swapping trajectories of confined spheres and cylinders in a viscoelastic Oldroyd-B fluid.…”

Section: Introductionmentioning

confidence: 99%

Lubrication analysis of interacting rigid cylindrical particles in confined shear flow

Cardinaels

Stone

2015

Physics of Fluids

View full text Add to dashboard Cite

Lubrication analysis is used to determine analytical expressions for the elements of the resistance matrix describing the interaction of two rigid cylindrical particles in two-dimensional shear flow in a symmetrically confined channel geometry. The developed model is valid for non-Brownian particles in a low-Reynolds-number flow between two sliding plates with thin gaps between the two particles and also between the particles and the walls. Using this analytical model, a comprehensive overview of the dynamics of interacting cylindrical particles in shear flow is presented. With only hydrodynamic interactions, rigid particles undergo a reversible interaction with no cross-streamline migration, irrespective of the confinement value. However, the interaction time of the particle pair substantially increases with confinement, and at the same time, the minimum distance between the particle surfaces during the interaction substantially decreases with confinement. By combining our purely hydrodynamic model with a simple on/off non-hydrodynamic attractive particle interaction force, the effects of confinement on particle aggregation are qualitatively mapped out in an aggregation diagram. The latter shows that the range of initial relative particle positions for which aggregation occurs is increased substantially due to geometrical confinement. The interacting particle pair exhibits tangential and normal lubrication forces on the sliding plates, which will contribute to the rheology of confined suspensions in shear flow. Due to the combined effects of the confining walls and the particle interaction, the particle velocities and resulting forces both tangential and perpendicular to the walls exhibit a non-monotonic evolution as a function of the orientation angle of the particle pair. However, by incorporating appropriate scalings of the forces, velocities, and doublet orientation angle with the minimum free fraction of the gap height and the plate speed, master curves for the forces versus orientation angle can be constructed.

show abstract

“…Irreversibility, in this case, is not surprising as, in contrast with the Stokes equation, viscoelastic constitutive models introduce non-linearity. (Even for a two-particle shear flow problem, irreversibility of particle trajectories is found [Yoon et al (2012)]. )…”

Section: Large Amplitude Oscillatory Shearmentioning

confidence: 99%

Rheology of viscoelastic suspensions of spheres under small and large amplitude oscillatory shear by numerical simulations

D’Avino¹,

Greco²,

Hulsen³

et al. 2013

Journal of Rheology

View full text Add to dashboard Cite

The dynamic response of a viscoelastic suspension of spheres under small and large amplitude oscillatory shear is investigated by three-dimensional direct numerical simulations. A sliding triperiodic domain is implemented whereby the computational domain is regarded as the bulk of an infinite suspension. A fictitious domain method is used to manage the particle motion. After the stress field is computed, the bulk properties are recovered by an averaging procedure. The numerical method is validated by comparing the computed linear viscoelastic response of Newtonian and non-Newtonian suspensions with previous theories and simulations. The numerical predictions are in very good quantitative agreement with experimental data for the Newtonian case, whereas deviations are found with respect to some sets of experiments for semidilute and concentrated viscoelastic suspensions. To investigate on such discrepancies, the effect of aggregates in the bulk of the suspension is examined. The simulations show that the presence of structures significantly alters the loss modulus. Such an effect is more pronounced as the volume fraction increases. In this light, the above mentioned disagreement between simulations and data (and among experimental data themselves) can be rationalized, as its origin can be attributed to inhomogeneous particle configurations. For increasing strain amplitudes, both loss and storage moduli depart from the linear viscoelastic values. Although the deviations are qualitatively similar to the large amplitude response of the unfilled suspending matrix, our results for dilute and semidilute suspensions show that the decrease of the moduli is more and more pronounced as the volume fraction is higher. Furthermore, a higher concentration of solid particles reduces the value of strain amplitude such that the nonlinear behavior is observed. Simulations at higher frequencies also correctly capture the overshoot in the loss modulus for intermediate strain amplitudes. Finally, the effect of fluid elasticity on the particle motion is analyzed. The particles are found to move away from their starting positions and the average distance, computed at the beginning of each cycle with respect to the initial configuration, linearly increases with the number of cycles. The change in the microstructure is attributed to the long-range hydrodynamic interactions mediated by fluid viscoelasticit

show abstract

Two particle interactions in a confined viscoelastic fluid under shear

Cited by 19 publications

References 29 publications

A 3D DLM/FD method for simulating the motion of spheres in a bounded shear flow of Oldroyd-B fluids

A 3D DLM/FD method for simulating the motion of spheres in a bounded shear flow of Oldroyd-B fluids

Lubrication analysis of interacting rigid cylindrical particles in confined shear flow

Rheology of viscoelastic suspensions of spheres under small and large amplitude oscillatory shear by numerical simulations

Contact Info

Product

Resources

About