General methodology to evaluate two-particle hydrodynamic friction inside cylinder-bound viscous fluid

Navardi, Shahin; Bhattacharya, S.

doi:10.1016/j.compfluid.2013.01.004

Cited by 14 publications

(7 citation statements)

References 47 publications

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“…inverting this matrix is equivalent to summing reflected interactions among all particles. 1,15 Errors caused by the omission of screening have also been seen in spectral convergence studies of interacting spheres in bounded domains, 16,17 where the replacement of the longrange mobility matrix M ∞ with its far-field limit in the LH approximation is equivalent to reducing the multipolar order of the calculation from 2 to 1. That the effect is worse when the size ratio is increased, as seen in fig.…”

Section: Mechanismmentioning

confidence: 99%

“…However, this is exactly what the full long-range mobility matrix M ∞ captures and is what we have lost: inverting this matrix is equivalent to summing reflected interactions among all particles. 1,15 Errors caused by the omission of screening have also been seen in spectral convergence studies of interacting spheres in bounded domains, 16,17 where the replacement of the longrange mobility matrix M ∞ with its far-field limit in the LH approximation is equivalent to Centre: LH with interactions only on pairs where other particles cannot pass between them, which is equivalent to the stricter global cutoff eq. ( 11).…”

Section: Mechanismmentioning

confidence: 99%

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Anomalous effect of turning off long-range mobility interactions in Stokesian dynamics

Townsend

Wilson

2018

Physics of Fluids

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In Stokesian Dynamics, particles are assumed to interact in two ways: through longrange mobility interactions and through short-range lubrication interactions. To speed up computations, in shear-driven concentrated suspensions, often found in rheometric contexts, it is common to consider only lubrication. We show that, although this approximation may provide acceptable results in shear-driven, periodic suspensions, for bidisperse suspensions where the particles are exposed to an external force, it can produce physically unreasonable results. We suggest that this problem could be mitigated by a careful choice of particle pairs on which lubrication interactions should be included.

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Section: Mechanismmentioning

confidence: 99%

Section: Mechanismmentioning

confidence: 99%

Anomalous effect of turning off long-range mobility interactions in Stokesian dynamics

Townsend

Wilson

2018

Physics of Fluids

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“…The motion of two or more spherical particles translating along the axis of the tube has been investigated by Sonshine & Brenner (1966), Wang & Skalak (1969), Leichtberg et al (1976) and spheroidal particles by Chen & Skalak (1970). Navardi & Bhattacharya (2013) calculated the hydrodynamic forces on two particles traveling in a cylindrical tube. The drag force and torque tensors were obtained.…”

Section: Introductionmentioning

confidence: 99%

Slow viscous flow of two porous spherical particles translating along the axis of a cylinder

Yao¹,

Ng²,

Teo³

et al. 2018

J. Fluid Mech.

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We describe the motion of two freely moving porous spherical particles located along the axis of a cylindrical tube with background Poiseuille flow at low Reynolds number. The stream function and a framework based on cylindrical harmonics are adopted to solve the flow field around the particles and the flow within the tube, respectively. The two solutions are employed in an iterated framework using the method of reflections. We first consider the case of two identical particles, followed by two particles with different dimensions. In both cases, the drag force coefficients of the particles are solved as functions of the separation distance between the particles and the permeability of the particles. The detailed flow field in the vicinity of the two particles is investigated by plotting the streamlines and velocity contours. We find that the particle–particle interaction is dependent on the separation distance, particle sizes and permeability of the particles. Our analysis reveals that when the permeability of the particles is large, the streamlines are more parallel and the particle–particle interaction has less effect on the particle motion. We further show that a smaller permeability and bigger particle size generally tend to squeeze the streamlines and velocity contour towards the wall.

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“…The first step towards elucidation of the entire flow field is to consider the flow dynamics of two particles traveling within a cylindrical tube at low Reynolds number. Theoretical approaches have been conducted to investigate this case [23][24][25]. Their main focus has been on the parameterizations of the drag force and torque acting on the spherical particles.…”

Section: List Of Notationmentioning

confidence: 99%

“…Meanwhile, the velocities of each particle has been calculated which demonstrate the hydrodynamic interactions among particles. Recently, Navardi and Bhattacharya proposed a general methodology to calculate the hydrodynamic force of two particles traveling in a cylindrical tube [25]. The drag force and torque can be obtained due to specific motion with arbitrary radial positions.…”

Section: Slow Viscous Flow Of a Single Particle Close To A Free Surfacementioning

confidence: 99%

Slow viscous flow of two particles in a cylindrical tube

Yao¹

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General methodology to evaluate two-particle hydrodynamic friction inside cylinder-bound viscous fluid

Cited by 14 publications

References 47 publications

Anomalous effect of turning off long-range mobility interactions in Stokesian dynamics

Anomalous effect of turning off long-range mobility interactions in Stokesian dynamics

Slow viscous flow of two porous spherical particles translating along the axis of a cylinder

Slow viscous flow of two particles in a cylindrical tube

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