Hydrodynamic interactions of spherical particles in Poiseuille flow between two parallel walls

Bhattacharya, S.; Bławzdziewicz, Jerzy; Wajnryb, Eligiusz

doi:10.1063/1.2195992

Cited by 41 publications

(44 citation statements)

References 62 publications

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“…All these results are precisely in line with those of Bhattacharya et al [24] and show that fluid flow perturbations play an important role in the collective dynamics of particles.…”

Section: Hydrodynamic Interactions Between An Array Of Fixed Particlesupporting

confidence: 81%

“…It is pushed on one side by the flow (fluid flow is blocked by the particle array in this simulation configuration). This is in agreement with [24]. When a single outlet is blocked, the upstream hydrodynamic interaction forces the free particle to find its way towards the exit.…”

Section: Hydrodynamic Interactions Between An Array Of Fixed Particlesupporting

confidence: 77%

“…The configuration proposed by Bhattacharya et al [24] consists in an array of particles fixed onto a plane wall in a confined channel with dimensions X ¼ 34a; Y ¼ 2:5a; Z ¼ 21a respectively in the streamwise, cross-stream and spanwise directions. A single flowing particle is injected.…”

Section: Hydrodynamic Interactions Between An Array Of Fixed Particlementioning

confidence: 99%

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Numerical investigation of channel blockage by flowing microparticles

2014

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a b s t r a c tThe dynamic formation of 3D structures of microparticle aggregates blocking the flow through straight microchannels is investigated by direct numerical simulation of the coupled motion of particles and fluid. We use the Force Coupling Method to handle simultaneously multibody hydrodynamic interactions of confined flowing suspension together with particle-particle and particle-wall surface interactions leading to adhesion and aggregation of particles. The basic idea of the Force Coupling Method relies on a multipole expansion of forcing terms (added to the Navier-Stokes equations) accounting for the velocity perturbation induced by the presence of particles in the fluid flow. When a particle reaches the wall or an attached particle, we consider that the adhesion is irreversible and this particle remains fixed. We investigate the kinetics of the microchannel blockage for several solid volumetric concentrations and different surface interaction forces. Many physical quantities such as the temporal evolution of the bulk permeability, capture efficiency, modification of the fluid flow and forces acting on attached particles are analyzed. We show that physical-chemical interactions, modeled by DLVO forces, are essential features which control the blockage dynamics and aggregate structure. IntroductionThe physics of transport, deposition, detachment and reentrainment of colloidal particles suspended in a fluid are of major interest in many areas of fluids engineering: fouling of heat exchangers, contamination of nuclear reactors, plugging of filtration membranes and occlusion of human veins, deposits in microelectronics and in the paper industry. In many solid/liquid separation processes such as micro-filtration or ultrafiltration of water, the limitation of the process performance is related to the fouling of filtration devices. To prevent or control the occurrence of fouling, it is necessary to achieve a better understanding of the respective roles of physical-chemical phenomena and hydrodynamic interactions in a confined suspension of particles. Non-hydrodynamic surface interactions and the adhesion of particles onto solid surfaces are the essential features to be modeled. However, mainly because of a complex interplay between the hydrodynamics of the flow, the physical-chemical properties of the filtered suspensions (often in a colloidal state) and the nature of the solid material, predicting fouling dynamics is still challenging.Different experimental techniques and numerical approaches have been developed to achieve new insights on the local structure of particle aggregates and the kinetics of blockage. Sharp and Adrian [4], by means of experiments in microtubes, observed blockage due to arch formation. The experiments were performed using liquids seeded with polystyrene beads at low volumetric concentration. They showed that a stable balance between the hydrodynamic forces and contact forces (mainly solid friction) between particles and the wall provokes the formation of arches. Wyss et al.[5] stu...

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“…All these results are precisely in line with those of Bhattacharya et al [24] and show that fluid flow perturbations play an important role in the collective dynamics of particles.…”

Section: Hydrodynamic Interactions Between An Array Of Fixed Particlesupporting

confidence: 81%

Section: Hydrodynamic Interactions Between An Array Of Fixed Particlesupporting

confidence: 77%

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Numerical investigation of channel blockage by flowing microparticles

2014

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“…In this case attractive interactions arising from the parabolic base flow and staggered particle positions have become vanishingly small. One possible explanation for observations of stable particle positions is that the repulsive interaction quickly decreases with interparticle spacing, In our high aspect ratio channel system the viscous interactions decay quickly with interparticle spacing; the interactions will decay in a manner similar to that due to a force dipole near a single wall (∼1∕l 2 ), when l is comparable to w, and will decay exponentially beyond that as in quasi-1D systems (30,32,33). In agreement with the strong decay in repulsive viscous interactions, data from particle pair trajectories do not show significant changes in interparticle spacings after they assemble (Figs.…”

Section: Resultsmentioning

confidence: 99%

Dynamic self-assembly and control of microfluidic particle crystals

Lee

Amini

Stone

et al. 2010

Proc. Natl. Acad. Sci. U.S.A.

203

228

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Engineered two-phase microfluidic systems have recently shown promise for computation, encryption, and biological processing. For many of these systems, complex control of dispersed-phase frequency and switching is enabled by nonlinearities associated with interfacial stresses. Introducing nonlinearity associated with fluid inertia has recently been identified as an easy to implement strategy to control two-phase (solid-liquid) microscale flows. By taking advantage of inertial effects we demonstrate controllable self-assembling particle systems, uncover dynamics suggesting a unique mechanism of dynamic self-assembly, and establish a framework for engineering microfluidic structures with the possibility of spatial frequency filtering. Focusing on the dynamics of the particleparticle interactions reveals a mechanism for the dynamic selfassembly process; inertial lift forces and a parabolic flow field act together to stabilize interparticle spacings that otherwise would diverge to infinity due to viscous disturbance flows. The interplay of the repulsive viscous interaction and inertial lift also allow us to design and implement microfluidic structures that irreversibly change interparticle spacing, similar to a low-pass filter. Although often not considered at the microscale, nonlinearity due to inertia can provide a platform for high-throughput passive control of particle positions in all directions, which will be useful for applications in flow cytometry, tissue engineering, and metamaterial synthesis.inertial ordering | hydrodynamic interaction | particle-laden flow | defocusing | microfluidics

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“…The Cartesian vectors C i (X) are determined numerically by the hydromultipole algorithm, which implements the theoretical multipole method of calculating hydrodynamic interactions between bodies [14][15][16][17] within Stokesian dynamics. The defined cut-off parameter L for the multipole method was chosen L = 2 what means that 24 multipole moments where calculated for each of the N particles.…”

Section: Numerical Proceduresmentioning

confidence: 99%

Hydrodynamic interactions suppress deformation of suspension drops in Poiseuille flow

Sadlej

Wajnryb

Ekiel-Jeżewska

2010

The Journal of Chemical Physics

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Evolution of a suspension drop entrained by Poiseuille flow is studied numerically at a low Reynolds number. A suspension drop is modelled by a cloud of many non-touching particles, initially randomly distributed inside a spherical volume of a viscous fluid which is identical to the host fluid outside the drop. Evolution of particle positions and velocities is evaluated by the accurate multipole method corrected for lubrication, implemented in the hydromultipole numerical code. Deformation of the drop is shown to be smaller for a larger volume fraction. At high concentrations, hydrodynamic interactions between close particles significantly decrease elongation of the suspension drop along the flow in comparison to the corresponding elongation of the pure-fluid drop. Owing to hydrodynamic interactions, the particles inside a dense-suspension drop tend to stay for a long time together in the central part of the drop; later on, small clusters occasionally separate out from the drop, and are stabilized by quasi-periodic orbits of the constituent non-touching particles. Both effects significantly reduces the drop spreading along the flow. At large volume fractions, suspension drops destabilize by fragmentation, and at low volume fractions, by dispersing into single particles.

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Hydrodynamic interactions of spherical particles in Poiseuille flow between two parallel walls

Cited by 41 publications

References 62 publications

Numerical investigation of channel blockage by flowing microparticles

Numerical investigation of channel blockage by flowing microparticles

Dynamic self-assembly and control of microfluidic particle crystals

Hydrodynamic interactions suppress deformation of suspension drops in Poiseuille flow

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