A strong interaction theory for the creeping motion of a sphere between plane parallel boundaries. Part 2. Parallel motion

Ganatos, Peter; Pfeffer, Robert; Weinbaum, Sheldon

doi:10.1017/s0022112080000882

Cited by 181 publications

(170 citation statements)

References 8 publications

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“…This test is similar to Lomholt et al [18] and it validates our implementation of the FCM for resistance problems in our JADIM code (figures are not reported in the present paper). The dimensionless drag k P and torque k P T coefficients are compared to the results obtained by Ganatos et al [22]. Our simulation results are in good agreement with Lomholt et al [18].…”

Section: Drag and Torque On A Single Particle Held Fixed In A Poiseuisupporting

confidence: 86%

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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Section: Drag and Torque On A Single Particle Held Fixed In A Poiseuisupporting

confidence: 86%

Numerical investigation of channel blockage by flowing microparticles

2014

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“…Motion of a single particle in a parabolic flow between two planar walls was recently considered by Staben et al [30] and by Jones [28] (see also much earlier results by Ganatos et al [44]). We thus give here only limited results for this system.…”

Section: A Single Particle Systemmentioning

confidence: 85%

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

Bhattacharya¹,

Bławzdziewicz²,

Wajnryb³

2006

Physics of Fluids

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We study hydrodynamic interactions of spherical particles in incident Poiseuille flow in a channel with infinite planar walls. The particles are suspended in a Newtonian fluid, and creeping-flow conditions are assumed. Numerical results, obtained using our highly accurate Cartesian-representation algorithm [Physica A xxx, xx, 2005], are presented for a single sphere, two spheres, and arrays of many spheres. We consider the motion of freely suspended particles as well as the forces and torques acting on particles adsorbed at a wall. We find that the pair hydrodynamic interactions in this wall-bounded system have a complex dependence on the lateral interparticle distance due to the combined effects of the dissipation in the gap between the particle surfaces and the backflow associated with the presence of the walls. For immobile particle pairs we have examined the crossover between several far-field asymptotic regimes corresponding to different relations between the particle separation and the distances of the particles from the walls. We have also shown that the cumulative effect of the far-field flow substantially influences the force distribution in arrays of immobile spheres. Therefore, the far-field contributions must be included in any reliable algorithm for evaluating many-particle hydrodynamic interactions in the parallel-wall geometry.

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“…Ganatos et al 2 determined the force on a sphere of finite size held fixed in a shear flow between two plane walls, but did not address the effect of the walls on the rheology of suspensions. Recently, Davit and Peyla 8 and Swan and Brady 9,10 determined the relative change in the viscous dissipation in such systems as a function of the particle volume fraction / and a, with a being the radius of the sphere divided by the half-width of the channel.…”

Section: Introductionmentioning

confidence: 99%

Roles of particle-wall and particle-particle interactions in highly confined suspensions of spherical particles being sheared at low Reynolds numbers

Sangani¹,

Acrivos²,

Peyla³

2011

Physics of Fluids

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The roles of particle-wall and particle-particle interactions are examined for suspensions of spherical particles in a viscous fluid being confined and sheared at low Reynolds numbers by two parallel walls moving with equal but opposite velocities. Both particle-wall and particle-particle interactions are shown to decrease the rotational velocity of the spheres, so that in the limit of vanishingly small gaps between the spheres and the walls, the spheres acquire a rotational slip relative to the walls. The presence of the walls also increases the particle stresslet and, therefore, the total viscous dissipation. In the limit of vanishingly small gaps, the increased viscous dissipation in the gaps between pairs of spheres aligned in the flow direction is largely compensated by the reduction in the dissipation in the gaps between the spheres and the walls due to a reduction in the rotational velocity of the spheres. As a result, the effect of short-range particle interactions on the stresslet is generally insignificant. On the other hand, the channel-scale particle interactions in the shear flow induced by the moving walls decrease the particle stresslet, primarily because the fraction of pairs of spheres that are aligned parallel to the flow (the presence of which in a shear flow reduces the stresslet) is relatively higher than in unbounded suspensions. Expressions are also derived for the total stress in dilute random suspensions that account for both the particle-wall and the channel-scale particle-particle interactions in determining the rotational velocities and stresses. The latter are shown to be consistent with recent numerical [Y. Davit and P. Peyla, Europhys. Lett. 83, 64001 (2008)] and experimental [P. Peyla and C. Verdier, Europhys. Lett. 94, 44001 (2011)] findings according to which, for a range of sphere radius to gap width ratios, the effect of particle-particle interactions is to decrease the total dissipation.

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A strong interaction theory for the creeping motion of a sphere between plane parallel boundaries. Part 2. Parallel motion

Cited by 181 publications

References 8 publications

Numerical investigation of channel blockage by flowing microparticles

Numerical investigation of channel blockage by flowing microparticles

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

Roles of particle-wall and particle-particle interactions in highly confined suspensions of spherical particles being sheared at low Reynolds numbers

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