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We consider laminar flow of incompressible electrolytes in long, straight channels driven by pressure and electro-osmosis. We use a Hilbert space eigenfunction expansion to address the general problem of an arbitrary cross section and…

Fluid Dynamics · Physics 2007-05-23 N. A. Mortensen , L. H. Olesen , H. Bruus

We characterize the dynamics of a $z-z$ electrolyte embedded in a varying-section channel. In the linear response regime, by means of suitable approximations, we derive the Onsager matrix associated to externally enforced gradients in…

Soft Condensed Matter · Physics 2019-10-02 Paolo Malgaretti , Mathijs Janssen , Ignacio Pagonabarraga , Miguel J. Rubi

We revisit the classical problem of flow of electrolyte solutions through charged capillary nanopores or nanotubes as described by the capillary pore model (also called "space charge" theory). This theory assumes very long and thin pores…

Chemical Physics · Physics 2019-08-16 P. B. Peters , R. van Roij , M. Z. Bazant , P. M. Biesheuvel

The paper presents a mean field theory of electrolyte solutions, extending the classical Debye-H\"{u}ckel-Onsager theory to provide a detailed description of the electrical conductivity in strong electrolyte solutions. The theory…

Soft Condensed Matter · Physics 2024-09-27 N. N. Kalikin , Yu. A. Budkov

We characterize the electrokinetic flow due to the transport of electrolytes embedded in nanochannels of varying cross-section with inhomogeneous slip on their walls, modeled as an effective slip length on the channel wall. We show that,…

Fluid Dynamics · Physics 2025-04-10 F. Carusela , J. Harting , P. Malgaretti

We introduce a theoretical and numerical method to investigate the flow of charged fluid mixtures under extreme confinement. We model the electrolyte solution as a ternary mixture, comprising two ionic species of opposite charge and a third…

Mesoscale and Nanoscale Physics · Physics 2012-09-13 Umberto Marini Bettolo Marconi , Simone Melchionna

We develop a nonlinear model for electroosmotic transport in a constricted microchannel with a compliant lower wall, with applications to soft microfluidics, bio-inspired sensing, and energy harvesting. The formulation couples…

Fluid Dynamics · Physics 2026-04-30 Subhajyoti Sahoo , Ameeya Kumar Nayak

A formal derivation of linear hydrodynamics for a granular fluid is given. The linear response to small spatial perturbations of the homogeneous reference state is studied in detail using methods of non-equilibrium statistical mechanics. A…

Statistical Mechanics · Physics 2007-05-23 James W. Dufty , Aparna Baskaran , J. Javier Brey

We consider a binary fluid mixture, which lies in the one-phase region near the demixing critical point, and study its transport through a capillary tube linking two large reservoirs. We assume that short-range interactions cause…

Soft Condensed Matter · Physics 2023-09-21 Youhei Fujitani , Shunsuke Yabunaka

We demonstrate the role of selectivity variation in the structure of the non-equilibrium extended space-charge using 1D analytic and 2D numerical Poisson-Nernst-Planck models for the electro- diffusive transport of a symmetric electrolyte.…

Soft Condensed Matter · Physics 2015-03-25 Jarrod Schiffbauer , Neta Leibowitz , Gilad Yossifon

We revisit the theory of ion transport in parallel-plate channels and also discuss how the wettability of a solid and the mobility of adsorbed surface charges impact the transport of ions. It is shown that depending on the ratio of the…

Soft Condensed Matter · Physics 2021-09-29 Olga I. Vinogradova , Elena F. Silkina , Evgeny S. Asmolov

Manipulation of the charge of the dielectric interface between two bulk liquids not only enables the adjustment of the interfacial tension but also controls the storage capacity of ions in the ionic double layers adjacent to each side of…

Soft Condensed Matter · Physics 2018-03-14 Marise J. E. Westbroek , Niels Boon , René van Roij

The conventional classification of electrolyte solutions as 'strong' or 'weak' accounts for their charge transport properties, but neglects their mass transport properties, and is not readily applicable to highly concentrated solutions.…

Soft Condensed Matter · Physics 2021-03-15 Bernhard Roling , Janosch Kettner , Vanessa Miß

Electrokinetic flows of an aqueous NaCl solution in nanochannels with negatively charged surfaces are studied using molecular dynamics (MD) simulations. The four transport coefficients that characterise the response to weak electric and…

Chemical Physics · Physics 2014-06-05 Hiroaki Yoshida , Hideyuki Mizuno , Tomoyuki Kinjo , Hitoshi Washizu , Jean-Louis Barrat

Long, shallow microchannels embedded in thick soft materials are widely used in microfluidic devices for lab-on-a-chip applications. However, the bulging effect caused by fluid--structure interactions between the internal viscous flow and…

Fluid Dynamics · Physics 2019-12-03 Xiaojia Wang , Ivan C. Christov

The theory of electrokinetic ion transport in cylindrical channels of a fixed surface charge density is revisited. Attention is focused on impact of the hydrophobic slippage and mobility of adsorbed surface charges. We formulate generalised…

Soft Condensed Matter · Physics 2022-12-14 Olga I. Vinogradova , Elena F. Silkina , Evgeny S. Asmolov

On the basis of a hydrodynamical model analogous to that in critical fluids, we investigate the influences of shear flow upon the electrostatic contribution to the viscosity of binary electrolyte solutions in the Debye-H\"{u}ckel…

Statistical Mechanics · Physics 2007-05-23 Hirofumi Wada

The electro-osmotic flow through a channel between two undulated surfaces induced by an external electric field is investigated. The gap of the channel is very small and comparable to the thickness of the electrical double layers. A lattice…

Soft Condensed Matter · Physics 2016-05-24 Hiroaki Yoshida , Tomoyuki Kinjo , Hitoshi Washizu

We study uncharged Rindler hydrodynamics at second order in the derivative expansion. The equation of state of the theory is given by a vanishing equilibrium energy density. We derive relations among the transport coefficients by employing…

High Energy Physics - Theory · Physics 2015-06-15 Adiel Meyer , Yaron Oz

The response of a model micro-electrochemical system to a time-dependent applied voltage is analyzed. The article begins with a fresh historical review including electrochemistry, colloidal science, and microfluidics. The model problem…

Soft Condensed Matter · Physics 2009-11-10 Martin Z. Bazant , Katsuyo Thornton , Armand Ajdari
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