The effect of electrode kinetics on electrophoretic forces

Rock, Reza M.; Sides, Paul J.; Prieve, Dennis C.

doi:10.1016/j.jcis.2012.10.066

Cited by 12 publications

(10 citation statements)

References 20 publications

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“…An even more ambitious extension of the present analysis would involve the incorporation of chemical reaction kinetics at the electrodes, following Refs. [14,15,30].…”

Section: Discussionmentioning

confidence: 99%

Electrokinetic particle-electrode interactions at high frequencies

Yariv

Schnitzer

2013

Phys. Rev. E

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We provide a macroscale description of electrokinetic particle-electrode interactions at high frequencies, where chemical reactions at the electrodes are negligible. Using a thin-double-layer approximation, our starting point is the set of macroscale equations governing the "bounded" configuration comprising of a particle suspended between two electrodes, wherein the electrodes are governed by a capacitive charging condition and the imposed voltage is expressed as an integral constraint. In the large-cell limit the bounded model is transformed into an effectively equivalent "unbounded" model describing the interaction between the particle and a single electrode, where the imposed-voltage condition is manifested in a uniform field at infinity together with a Robin-type condition applying at the electrode. This condition, together with the standard no-flux condition applying at the particle surface, leads to a linear problem governing the electric potential in the fluid domain in which the dimensionless frequency ω of the applied voltage appears as a governing parameter. In the high-frequency limit ω>>1 the flow is dominated by electro-osmotic slip at the particle surface, the contribution of electrode electro-osmosis being O(ω(-2)) small. That simplification allows for a convenient analytical investigation of the prevailing case where the clearance between the particle and the adjacent electrode is small. Use of tangent-sphere coordinates allows to calculate the electric and flows fields as integral Hankel transforms. At large distances from the particle, along the electrode, both fields decay with the fourth power of distance.

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“…An even more ambitious extension of the present analysis would involve the incorporation of chemical reaction kinetics at the electrodes, following Refs. [14,15,30].…”

Section: Discussionmentioning

confidence: 99%

Electrokinetic particle-electrode interactions at high frequencies

Yariv

Schnitzer

2013

Phys. Rev. E

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“…Rock et al [40] calculated the force on a spherical particle at the uniform potential limit (no flow along the electrode), the uniform current limit (maximal flow on electrode), as well as the transitional regime. The electrophoretic force on the particle in the limit of uniform potential is given by [9,40]…”

Section: A the Response Of An Isotropic Particle To A Nearby Poweredmentioning

confidence: 99%

“…The numerical solution technique was first tested by solving for the electric and flow fields on a single spherical particle and subsequently calculating the force as a function of height. Figure 3 shows the scaled forces F S in each direction as a function of scaled height H in comparison to the analytical expression [9,40] for the force shown in Eqs. (1) and (2).…”

Section: A Test Case: a Single Isotropic Particlementioning

confidence: 99%

“…Test case: Force on a singlet approaching an electrode of uniform potential. The force on single particle compared with an analytical solution [9,40] that was previously published. The calculated force F calc was scaled with the force on a sphere in the bulk and the separation distance h was scaled with the diameter of the sphere, i.e., F s = F calc /6πεR 1 ζ 1 E ∞ and H = h/2R 1 , respectively.…”

Section: A Test Case: a Single Isotropic Particlementioning

confidence: 99%

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Response of a doublet to a nearby dc electrode of uniform potential

Wirth

Nuthalapati

2016

Phys. Rev. E

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The electric-field-assisted directed assembly of spherical colloidal particles near an electrode has been studied for nearly three decades. Recently, focus has shifted to the electric-field-assisted assembly and propulsion of nonspherical (i.e., anisotropic) particles. This paper describes calculations and results for a doublet of asymmetric ζ potential and size responding to a dc electric field. The doublet experienced a net vertical force that depended on both the asymmetry in ζ potential and lobe size. In addition, the doublet experienced a net lateral force perpendicular to the applied electric field. The lateral force depended on the difference in ζ potential of the two lobes, the lobe size asymmetry, and also the angle of inclination of the doublet. The net force was used to predict an apparent lateral velocity, which was found to be perpendicular to the applied electric field. In addition, the particle experienced rotation from a net torque that depended on the lobe size asymmetry and also the angle of inclination of the doublet. The magnitude of the predicted velocity was of the same order of magnitude as has been observed for particles responding to ac electric fields in experiments. These results demonstrate that lobe ζ potential, lobe size, and orientation of a colloidal doublet can be tuned to achieve propulsion.

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“…) is sufficiently small relative to the particle diameter (a) or the particle diameter (a) is sufficiently large (¬a > 1), the electrophoretic mobility u e (m 2 ·s ¹1 ·V ¹1 ) follows the Smoluchowski's equation: 14)…”

Section: ¹1mentioning

confidence: 99%

Power efficiency of electrophoretic deposition of silica using nonflammable ethyl perfluorobutyl ether

Negishi

2014

J. Ceram. Soc. Japan

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Electrophoretic deposition (EPD) has attracted attention as a coating technology for ceramic particles. Ethyl perfluorobutyl ether (EFE), a hydrofluoroether, can be used as a solvent for preparing silica particle suspensions for EPD. EFE is polar, nonflammable, and has a high density. In addition, the electrical insulation of EFE allows significant power savings over conventional EPD. In this study, the power consumption of EPD with EFE was compared with that of EPD with various common solvents. The silica particle suspension showed a high zeta potential in EFE. Power consumption per unit deposition amount in EFE at 10 V was 6.4 © 10 ¹5 % of that of water at 100 V. Similarly, it was 2.6 © 10 ¹3 % of that of acetone, 7.8 © 10 ¹5 % of that of ethanol, and 7.5 © 10 ¹5 % of that of ethanol at 100 V. Compared with the solvents used previously in EPD, EFE offers significant energy savings to the EPD process.

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The effect of electrode kinetics on electrophoretic forces

Cited by 12 publications

References 20 publications

Electrokinetic particle-electrode interactions at high frequencies

Electrokinetic particle-electrode interactions at high frequencies

Response of a doublet to a nearby dc electrode of uniform potential

Power efficiency of electrophoretic deposition of silica using nonflammable ethyl perfluorobutyl ether

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