Dispersion of charged solute in charged micro‐ and nanochannel with reversible sorption

Zhang, Li; Hesse, M. A.; Wang, Moran

doi:10.1002/elps.201800334

Cited by 6 publications

(4 citation statements)

References 23 publications

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“…2c. This corresponds to the term f 1 f 2 /f 3 in equation (12). If the surface charge is not dependent on pH, this term vanishes and it reduces to the constant surface charge model.…”

Section: B Case Of Only Chemical Chargementioning

confidence: 99%

“…Sometimes, both chemical charge and electronic charge can exist at the same time: either by introducing ionizable charged groups on conducting materials, or adding conducting agents, such as carbon nanotubes, in polymeric membranes [5][6][7][8]. The electrostatic effect of these surface charge plays a significant role in modulating transport of ionic species through the membrane, and has been engineered to provide new approaches for energy conversion [9,10], desalination [11], separation [12], fabrication of ion field-effect transistors [7,13] and mimicking biological cell membranes [14].…”

Section: Introductionmentioning

confidence: 99%

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Theory of Ion and Water Transport in Electron-Conducting Membrane Pores with p H-Dependent Chemical Charge

Zhang¹,

Biesheuvel²,

Ryzhkov

2019

Phys. Rev. Applied

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In this work, we develop an extended uniform potential (UP) model for a membrane nanopore by including two different charging mechanisms of the pore walls, namely by electronic charge and by chemical charge. These two charging mechanisms will generally occur in polymeric membranes with conducting agents, or membranes made of conducting materials like carbon nanotubes with surface ionizable groups. The electronic charge redistributes along the pore in response to the gradient of electric potential in the pore, while the chemical charge depends on the local pH via a Langmuir-type isotherm. The extended UP model shows good agreement with experimental data for membrane potential measured at zero current condition. When both types of charge are present, the ratio of the electronic charge to the chemical charge can be characterized by the dimensionless number of surface groups and the dimensionless capacitance of the dielectric Stern layer. The performance of the membrane pore in converting osmotic energy from a salt concentration difference into electrical power can be improved by tuning the electronic charge.

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“…2c. This corresponds to the term f 1 f 2 /f 3 in equation (12). If the surface charge is not dependent on pH, this term vanishes and it reduces to the constant surface charge model.…”

Section: B Case Of Only Chemical Chargementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Theory of Ion and Water Transport in Electron-Conducting Membrane Pores with p H-Dependent Chemical Charge

Zhang¹,

Biesheuvel²,

Ryzhkov

2019

Phys. Rev. Applied

Self Cite

View full text Add to dashboard Cite

show abstract

“…Due to its widespread presence in both natural and technological realms, this phenomenon has garnered significant attention from the scientific community. It encompasses a wide range of engineering applications, including colloid stability, energy conversion, desalination, separation processes, nanofabrication, nanofluidic devices, and ion transport across membranes [ 7 , 8 , 9 ].…”

Section: Introductionmentioning

confidence: 99%

Effect of Dielectric Constant on the Zeta Potential of Spherical Electric Double Layers

Qamhieh

2024

Molecules

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Zeta potential refers to the electrokinetic potential present in colloidal systems, exerting significant influence on the diverse properties of nano-drug delivery systems. The impact of the dielectric constant on the zeta potential and charge inversion of highly charged colloidal particles immersed in a variety of solvents spanning from polar, such as water, to nonpolar solvents and in the presence of multivalent salts was investigated through primitive Monte Carlo (MC) model simulations. Zeta potential, ξ, is decreased with the decreasing dielectric constant of the solvent and upon further increase in the salinity and the valency of the salt. At elevated levels of salt, the colloidal particles become overcharged in all solvents. As a result, their apparent charge becomes opposite in sign to the stoichiometric charge. This reversal of charge intensifies until reaching a saturation point with further increase in salinity.

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“…The drift of solute will first increase and then decrease at large times, whereas the evolution of dispersivity is much more complicated. It is found that reversible adsorption can reduce both the drift and dispersivity (Zhang, Hesse & Wang 2017, 2019), due to the desorption of the retentive solute from the wall to the slow-flow-speed region. The time scale of the transition to the Taylor dispersion regime increase with the ratio of adsorption to desorption rates.…”

Section: Introductionmentioning

confidence: 99%

Analytical solutions for reactive shear dispersion with boundary adsorption and desorption

Jiang

Zeng

et al. 2022

J. Fluid Mech.

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Surface reactions such as the adsorption and desorption at boundaries are very common for solute dispersion in many applications of chemistry, biology, hydraulics, etc. To study how reversible adsorption affects the transient dispersion, Zhang, Hesse & Wang (J. Fluid Mech., vol. 828, 2017, pp. 733–752) have investigated the temporal evolution of moments using the Laplace transform method. Owing to difficulties introduced by the adsorption–desorption boundary condition, great challenges arise from the inverse Laplace transform: dealing with the singularities by the residue theorem can tremendously increase complexities. This work provides a much simpler analytical method to derive solutions in a more compact form that is valid for the entire range of the reactive transport process. Such a progress demonstrates that the classic framework of separation of variables can be extended and applied to this more general adsorption–desorption condition, based on which higher-order statistics including skewness and kurtosis can be explicitly explored in practice. Also extended is Gill's generalised dispersion model for solute concentration distributions, which can now address the entire transient dispersion characteristics, instead of just applied for the long-time asymptotic reactive process as done previously. Regarding the most classic Taylor dispersion problem, we investigate the influence of the reversible adsorption–desorption on the solute cloud in a tube flow. Not only the transient dispersion characteristics of transverse-average concentration distribution but also those of the bulk, surface and total-average distributions are discussed. We further investigate the influence of initial conditions on the non-uniformity of the transient dispersion over the cross-section.

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Dispersion of charged solute in charged micro‐ and nanochannel with reversible sorption

Cited by 6 publications

References 23 publications

Theory of Ion and Water Transport in Electron-Conducting Membrane Pores with p H-Dependent Chemical Charge

Theory of Ion and Water Transport in Electron-Conducting Membrane Pores with p H-Dependent Chemical Charge

Effect of Dielectric Constant on the Zeta Potential of Spherical Electric Double Layers

Analytical solutions for reactive shear dispersion with boundary adsorption and desorption

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