Sedimentation Velocity and Potential in Concentrated Suspensions of Charged Spheres with Arbitrary Double-Layer Thickness

Keh, Huan J.; Ding, Jau M.

doi:10.1006/jcis.2000.6918

Cited by 25 publications

(31 citation statements)

References 22 publications

(52 reference statements)

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“…The minimum velocity also depends on volume fraction, an effect which is consistent with previous findings for spheres. 23 A similar behavior is observed in Fig. 5͑b͒, where the longitudinal sedimentation for a weakly charged disk is depicted.…”

Section: Sedimentation Velocity Of Charged Disks: Debye Length Desupporting

confidence: 80%

Lattice-Boltzmann simulation of the sedimentation of charged disks

Capuani

Pagonabarraga²,

Frenkel

2006

The Journal of Chemical Physics

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We report a series of lattice-Boltzmann simulations of the sedimentation velocity of charged disks. In these simulations, we explicitly account for the hydrodynamic and electrostatic forces on disks and on their electrical double layer. By comparing our results with those for spheres with equal surface and charge, we can clarify the effect of the particle shape on the sedimentation process. We find that disks and spheres exhibit a different dependence of the sedimentation velocity on the Debye screening length. An analysis of the behavior of highly charged disks ͑beyond the scope of the linearized Poisson-Boltzmann equation͒ shows that, in that regime, the charge dependence of the sedimentation velocity of disks and spheres is similar. This suggests that, at high charge, the effective hydrodynamic shape of the disks becomes more spherical.

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Section: Sedimentation Velocity Of Charged Disks: Debye Length Desupporting

confidence: 80%

Lattice-Boltzmann simulation of the sedimentation of charged disks

Capuani

Pagonabarraga²,

Frenkel

2006

The Journal of Chemical Physics

View full text Add to dashboard Cite

show abstract

“…Note that the contribution from the effect of O(ζ 2 ) to ψ (eq) in Eq. [13] disappears only for the case of a solution of symmetric electrolytes.…”

Section: Solution Of the Electrokinetic Equations For Symmetric Electmentioning

confidence: 88%

“…Expression [13] for ψ (eq) as a power series in the surface potential of the particle up to O(ζ ) is the equilibrium solution for the linearized Poisson-Boltzmann equation that is valid for small values of the electric potential (the DebyeHuckel approximation). Note that the contribution from the effect of O(ζ 2 ) to ψ (eq) in Eq.…”

Section: Solution Of the Electrokinetic Equations For Symmetric Electmentioning

confidence: 99%

“…, [13] whereζ = Zeζ /kT , which is the nondimensional equilibrium surface potential of the particle,…”

Section: Solution Of the Electrokinetic Equations For Symmetric Electmentioning

confidence: 99%

“…The Kuwabara model with nonoverlapping double layers was also used by Ohshima (12) to demonstrate the Onsager relation between the sedimentation potential and the electrophoretic mobility of charged spheres with low zeta potential in concentrated suspensions. Recently, the migration phenomena in homogeneous suspensions of identical charged spheres with small surface potential and arbitrary double-layer thickness were analyzed by the present authors (13), who employed both the Happel and the Kuwabara cell models and allowed the overlap of adjacent double layers. Closed-form formulas for the sedimentation velocity and potential expressed as power series in the surface-charge density or surface potential of the particles were obtained, and these results demonstrate that the effects of overlapping double layers are quite significant even for the case of thin double layers.…”

Section: Introductionmentioning

confidence: 99%

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