Electrophoresis and electric conduction in a suspension of charged soft particles

Liu, Hsuan C.; Keh, Huan J.

doi:10.1007/s00396-016-3863-1

Cited by 14 publications

(15 citation statements)

References 25 publications

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“…The Brinkman model is considered as a hydrodynamic continuum and can be characterized by the Darcy permeability coefficient. In the literature, an extension was made to the Brinkman model adding a term representing the electrokinetic transport phenomena inside the porous medium [19–26]. Tsai et al.…”

Section: Introductionmentioning

confidence: 99%

Transient electrophoresis of a conducting spherical particle embedded in an electrolyte‐saturated Brinkman medium

2021

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In this study, the time‐dependent electrophoretic motion of a conducting spherical particle embedded in an arbitrary electrolyte solution saturated porous medium is investigated. The porous medium is uniformly charged and the embedded hard particle is charged with constant ζ‐potential or constant surface charge density. The unsteady modified Brinkman equation with an electric force term, which governs the fluid velocity field, is used to model the porous medium and is solved by Laplace's transform technique. An analytical expression for the electrophoretic velocity of the spherical particle is obtained in Laplace transform domain as a function of the relevant parameters, and its inversion is obtained through numerical techniques. Also, in this study, the steady‐state electrophoretic velocity is obtained analytically as linear functions of ζ‐potential (or surface density charge) and the fixed charge density. The steady‐state electrophoretic velocity is displayed graphically for various relevant parameters and compered with the available data in the literature. Also, the numerical values of the transient electrophoretic velocity are plotted versus the nondimensional elapsed time and discussed for different values of the Debye length parameter, density ratio, permeability of the porous medium, and for high and nonconducting particles.

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Section: Introductionmentioning

confidence: 99%

Transient electrophoresis of a conducting spherical particle embedded in an electrolyte‐saturated Brinkman medium

2021

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“…To avoid the difficulty of multiple-entity boundary value problems, the unit cell model was frequently used to predict the effects of interactions among the small solid entities constructing the porous medium on the electroosmotic velocity and effective electric conductivity. Although different shapes of the cell may be employed, a spherical [6][7][8][9][10][11][12][13][14] or circular cylindrical [15][16][17][18][19][20] one for the fictitious envelope of fluid surrounding each spherical or circular cylindrical entity is most convenient.…”

Section: Introductionmentioning

confidence: 99%

Electroosmosis and Electric Conduction of Electrolyte Solutions in Charge-Regulating Fibrous Media

Chen

Keh

2021

Colloids and Interfaces

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An analytical study of the electroosmosis and electric conduction of electrolyte solutions in a fibrous medium composed of parallel charge-regulating cylinders with arbitrary electric double layer thickness is presented. A linearized charge regulation model was adopted for the association and dissociation reactions occurring at the amphoteric functional groups over the surfaces of the cylinders, and a unit cell model was employed to accommodate interactions among the cylinders. The electrokinetic equations governing the ionic concentration, electric potential, and liquid flow fields were solved at low zeta potential for the cylinders. Explicit formulas for the electroosmotic mobility and effective electric conductivity in the fiber matrix were obtained. The results indicate that the charge regulation characteristics, such as the equilibrium constants of the reactions occurring at the cylinders’ surfaces and the bulk concentration of the charge-determining ions, influence the surface charge density and potential, electroosmotic mobility, and effective electric conductivity substantially.

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“…As a result, the disperse fluid is dragged to flow, and the electric current in the suspension is different from that in a bulk solution. Numerous formulas for the electrophoretic mobility and electric conductivity in suspensions of charged particles have been obtained in the past [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Electrophoretic Mobility and Electric Conductivity of Salt-Free Suspensions of Charged Soft Particles

Lin

Keh

2021

Colloids and Interfaces

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A unit cell model is employed to analyze the electrophoresis and electric conduction in a concentrated suspension of spherical charged soft particles (each is a hard core coated with a porous polyelectrolyte layer) in a salt-free medium. The linearized Poisson–Boltzmann equation applicable to a unit cell is solved for the equilibrium electrostatic potential distribution in the liquid solution containing the counterions only surrounding a soft particle. The counterionic continuity equation and modified Stokes/Brinkman equations are solved for the ionic electrochemical potential energy and fluid velocity distributions, respectively. Closed-form formulas for the electrophoretic mobility of the soft particles and effective electric conductivity of the suspension are derived, and the effect of particle interactions on these transport characteristics is interesting and significant. Same as the case in a suspension containing added electrolytes under the Debye–Hückel approximation, the scaled electrophoretic mobility in a salt-free suspension is an increasing function of the fixed charge density of the soft particles and decreases with increases in the core-to-particle radius ratio, ratio of the particle radius to the permeation length in the porous layer, and particle volume fraction, keeping the other parameters unchanged. The normalized effective electric conductivity of the salt-free suspension also increases with an increase in the fixed charge density and with a decrease in the core-to-particle radius ratio, but is not a monotonic function of the particle volume fraction.

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Electrophoresis and electric conduction in a suspension of charged soft particles

Cited by 14 publications

References 25 publications

Transient electrophoresis of a conducting spherical particle embedded in an electrolyte‐saturated Brinkman medium

Transient electrophoresis of a conducting spherical particle embedded in an electrolyte‐saturated Brinkman medium

Electroosmosis and Electric Conduction of Electrolyte Solutions in Charge-Regulating Fibrous Media

Electrophoretic Mobility and Electric Conductivity of Salt-Free Suspensions of Charged Soft Particles

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