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Related papers: Electro-osmotic flows under nanoconfinement: a sel…

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We consider a coupled system of Navier-Stokes and Nernst-Planck equations, describing the evolution of the velocity and the concentration fields of dissolved constituents in an electrolyte solution. Motivated by recent applications in the…

Analysis of PDEs · Mathematics 2012-06-12 Dieter Bothe , André Fischer , Jürgen Saal

The increasing number of experimental observations on highly concentrated electrolytes and ionic liquids show qualitative features that are distinct from dilute or moderately concentrated electrolytes, such as self-assembly, multiple-time…

Chemical Physics · Physics 2018-02-08 Nir Gavish , Doron Elad , Arik Yochelis

Analytical solutions to the lattice Boltzmann Equation make it possible to study the method itself, explore the properties of its collision operator, and identify implementations of boundary conditions. In this paper, we propose a method to…

Fluid Dynamics · Physics 2025-06-02 Jordan Larson , Alexander J. Wagner

We study ionic and mass transport in a liquid crystalline fluid film in its nematic phase under an applied electrostatic field. Both analytic and numerical solutions are given for some prototypical configurations of interest in…

Soft Condensed Matter · Physics 2018-03-23 Christopher Conklin , Jorge Vinals

In this paper, we present a molecular theory analysis of ions and potential distribution, degree of ionization of polyelectrolyte (PE) brushes, velocity profile, volumetric flow rate, ionic selectivity, ionic conduction and advection by…

Soft Condensed Matter · Physics 2020-07-01 Milad Reshadi , Mohammad Hassan Saidi

In this work, we study the implementation of electrically-driven flow (EDF) models in the finite-volume framework of $\text{OpenFOAM}^\circledR$. The Poisson-Nernst-Planck model is used for the transport of charged species and it is coupled…

Fluid Dynamics · Physics 2018-09-06 Francisco Pimenta , Manuel A. Alves

Physical parameters characterising electrokinetic transport in a confined electrolyte solution are reconstructed from the generic transport coefficients obtained within the classical non-equilibrium statistical thermodynamic framework. The…

Soft Condensed Matter · Physics 2014-11-18 Hiroaki Yoshida , Hideyuki Mizuno , Tomoyuki Kinjo , Hitoshi Washizu , Jean-Louis Barrat

We consider the problem of electromigration of a sample ion (analyte) within a uniform background electrolyte when the confining channel undergoes a sudden contraction. One example of such a situation arises in microfluidics in the…

Quantitative Methods · Quantitative Biology 2015-06-05 Zhen Chen , Sandip Ghosal

The dynamics of dry active matter have implications for a diverse collection of biological phenomena spanning a range of length and time scales, such as animal flocking, cell tissue dynamics, and swarming of inserts and bacteria. Uniting…

Soft Condensed Matter · Physics 2021-01-07 David Nesbitt , Gunnar Pruessner , Chiu Fan Lee

In this paper, we develop a general mathematical framework for enhanced hydrodynamic near-cloaking of electro-osmotic flow for more complex shapes, which is obtained by simultaneously perturbing the inner and outer boundaries of the perfect…

Analysis of PDEs · Mathematics 2023-10-24 Hongyu Liu , Zhi-Qiang Miao , Guang-Hui Zheng

Numerical simulation of Electroconvective vortices behavior in the presence of Couette flow between two infinitely long electrodes is investigated. The two-relaxation-time Lattice Boltzmann Method with fast Poisson solver solves for the…

Fluid Dynamics · Physics 2019-10-09 Yifei Guan , Igor Novosselov

Transport of electrolytic solutions under influence of electric fields occurs in phenomena ranging from biology to geophysics. Here, we present a continuum model for single-phase electrohydrodynamic flow, which can be derived from…

Fluid Dynamics · Physics 2020-06-30 Gaute Linga , Asger Bolet , Joachim Mathiesen

A new lattice Boltzmann method for simulating multiphase flows is developed theoretically. The method is adjusted such that its continuum limit is the Navier-Stokes equation, with a driving force derived from the Cahn-Hilliard free energy.…

Statistical Mechanics · Physics 2014-09-25 Jasna Zelko , Burkhard Duenweg

Fluid transport in microfluidic systems typically is laminar due to the low Reynolds number characteristic of the flow. The inclusion of suspended polymers imparts elasticity to fluids, allowing instabilities to be excited when substantial…

Soft Condensed Matter · Physics 2015-05-18 R. M. Bryce , M. R. Freeman

The two-dimensional regular and chaotic electro-convective flow states of a dielectric liquid between two infinite parallel planar electrodes are investigated using a two-relaxation-time lattice Boltzmann method. Positive charges injected…

Fluid Dynamics · Physics 2021-08-17 Qi Wang , Yifei Guan , Junyu Huang , Jian Wu

Efficient mixing and pumping of liquids at the microscale is a technology that is still to be optimized. The combination of an AC electric field with a small temperature gradient leads to a strong electro-thermal flow that can be used for…

Fluid Dynamics · Physics 2024-03-18 Carlos David González Gómez , Raúl A. Rica , Emilio Ruiz-Reina

We show that an electric field parallel to an electrically neutral surface can generate flow of electrolytic mixtures in small channels. We term this solvo-osmotic flow, since the flow is induced by the asymmetric preferential solvation of…

Fluid Dynamics · Physics 2017-05-24 Sela Samin , René van Roij

A method for the evaluation of the angular width of an electron beam generated by a nanoconstriction is proposed and demonstrated. The approach is based on analysis of a narrow-width electron flow, that quantizes into modes inside a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. N. Gurzhi , A. N. Kalinenko , A. I. Kopeliovich , A. V. Yanovsky , E. N. Bogachek , Uzi Landman

We give a general theoretical description of electro-osmotic flow at striped super-hydrophobic surfaces in a thin double layer limit, and derive a relation between the electro-osmotic mobility and hydrodynamic slip-length tensors. Our…

Soft Condensed Matter · Physics 2015-05-27 Aleksey V. Belyaev , Olga I. Vinogradova

We experimentally investigate the superfluid properties of a two-dimensional, weakly interacting Bose-Einstein condensate in the zero-temperature regime, when it is subjected to a triangular optical lattice potential. We implement an…

Quantum Gases · Physics 2025-11-07 F. Rabec , G. Brochier , S. Wattellier , G. Chauveau , Y. Li , S. Nascimbene , J. Dalibard , J. Beugnon