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Related papers: Electro-osmotic flow through a nanopore

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Numerical simulations of the Navier-Stokes, Nernst-Planck, and the Poisson equations are employed to describe the transport processes in an aqueous electrolyte in a parallel-plate nanochannel, where surface-acoustic waves (SAWs) are…

Fluid Dynamics · Physics 2020-12-24 Mathias Dietzel , Steffen Hardt

The shift in water security demands improvements in alternative solutions such as saltwater desalination. One of the most efficient technologies in this scope is the reverse osmosis systems, a technology based on a membrane separation…

Soft Condensed Matter · Physics 2024-06-19 João P. K. Abal , Marcia C. Barbosa

In this paper, we introduce a mathematical model to describe the nanoparticles transport carried by a two-phase flow in a porous medium including gravity, capillary forces and Brownian diffusion. Nonlinear iterative IMPES scheme is used to…

Numerical Analysis · Mathematics 2013-10-18 M. F. El-Amin , Jisheng Kou , Shuyu Sun , Amgad Salama

The paper deals with a theoretical study of electrokinetic flow of a rheological Herschel-Bulkley fluid through a cylindrical tube of variable cross-section. The concern of this study is to analyze combined pressure-driven and…

Fluid Dynamics · Physics 2023-12-22 S. Maiti , S. K. Pandey , J. C. Misra

Effects of the adsorption-desorption process on the immittance response of an electrolytic cell are theoretically investigated in the framework of the diffusional Poisson-Nernst-Planck (PNP) continuum model, when the generation and…

Recent experimental work has suggested that electroosmotic flows (EOF) through conical nanopores exhibit rectification in the opposite sense to the well-studied effect of ionic current rectification. A positive bias voltage generates large…

Fluid Dynamics · Physics 2015-06-02 Nadanai Laohakunakorn , Ulrich F. Keyser

Electrochemical phenomena in biology often unfold in confined geometries where micrometer- to millimeter-scale domains coexist with nanometer-scale interfacial diffuse charge layers. We analyze a model lipid membrane-electrolyte system…

Soft Condensed Matter · Physics 2025-08-20 Joshua B. Fernandes , Hyeongjoo Row , Kranthi K. Mandadapu , Karthik Shekhar

When the concentration of electrolyte solution varies along the channel the forces arise that drag the fluid toward the higher or lower concentration region inducing a flow termed diffusio-osmotic. This article investigates a flow that…

Soft Condensed Matter · Physics 2025-12-30 Evgeny S. Asmolov , Elena F. Silkina , Olga I. Vinogradova

We consider a coupled system of Navier Stokes, Maxwell Stefan and Poisson Boltzmann equations by incorporating the variation of dielectric constant, which governs the electro osmotic flow in nano channel, describing the evolution of the…

Fluid Dynamics · Physics 2016-02-24 Rajendra Padidhapu , Shahnaz Bathul , V. Brahmajirao

We describe a method for calculating the probability with which the wall of a plasma absorbs an electron at low energy. The method, based on an invariant embedding principle, expresses the electron absorption probability as the probability…

Plasma Physics · Physics 2017-01-10 Franz X. Bronold , Holger Fehske

Within a dipolar Poisson-Boltzmann theory including electrostatic correlations, we consider the effect of explicit solvent structure on solvent and ion partition confined to charged nanopores. We develop a relaxation scheme for the solution…

Soft Condensed Matter · Physics 2015-10-28 Sahin Buyukdagli

We develop a model of an electrorheological fluid such that the fluid is considered as an anisotropic one with the viscosity depending on the second invariant of the rate of strain tensor, on the module of the vector of electric field…

Mathematical Physics · Physics 2007-05-23 R. H. W. Hoppe , W. G. Litvinov

A double-layer integral equation for the surface tractions on a body moving in a viscous fluid is derived which allows for the incorporation of a background flow and/or the presence of a plane wall. The Lorentz reciprocal theorem is used to…

Fluid Dynamics · Physics 2017-02-01 William H. Mitchell , Saverio E. Spagnolie

The properties of ionic solutions between charged surfaces are often studied within the Poisson-Boltzmann framework, by finding the electrostatic potential profile. For example, the osmotic pressure between two charged planar surfaces can…

Soft Condensed Matter · Physics 2022-08-04 Ram M. Adar , David Andelman

We consider the Poisson-Nernst-Planck system which is well-accepted for describing dilute electrolytes as well as transport of charged species in homogeneous environments. Here, we study these equations in porous media whose electric…

Mathematical Physics · Physics 2013-02-26 Markus Schmuck

The flow of micropolar fluid through a membrane modeled as a swarm of solid cylindrical particles with porous layer using the cell model technique is considered. The flow is directed perpendicular to the axis of the cylinders. Boundary…

Fluid Dynamics · Physics 2019-09-04 D. Yu. Khanukaeva , A. N. Filippov , P. K. Yadav , A. Tiwari

We present a self-consistent kinetic theory for the electronic response of a plasma-facing dielectric solid. Based on the Poisson equation and two sets of spatially separated Boltzmann equations, one for electrons and ions in the plasma and…

Plasma Physics · Physics 2017-08-02 Franz X. Bronold , Holger Fehske

We theoretically study electrostatic properties of electric double layer using a generalized Poisson-Boltzmann approach taking into account the orientational ordering of water dipoles and the excluded volume effect of water molecules as…

Soft Condensed Matter · Physics 2022-02-14 Jun-Sik Sin , Song-Jin Im , Kwang-Il Kim

In this paper, we explore osmotic transport by means of molecular dynamics (MD) simulations. We first consider osmosis through a membrane, and investigate the reflection coefficient of an imperfectly semi-permeable membrane, in the dilute…

Mesoscale and Nanoscale Physics · Physics 2017-05-18 Hiroaki Yoshida , Sophie Marbach , Lydéric Bocquet

Continuum simulations become an important tool to uncover the mysteries in nanofluidic experiments. However, fluid flow in simulation models is usually unconsidered. Here, systematical simulations are conducted to provide a quantitative…

Chemical Physics · Physics 2024-02-08 Yinghua Qiu , Long Ma