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Motivated by recent experiments, we present a theoretical investigation of how the electro-osmotic flow occurring in a capillary is modified when its charged surfaces are coated by charged polymers. The theoretical treatment is based on a…

Mesoscale and Nanoscale Physics · Physics 2015-07-17 Umberto Marini Bettolo Marconi , Michele Monteferrante , Simone Melchionna

Electroosmotic pumping of fluid through a nanopore that traverses an insulating membrane is considered. The density of surface charge on the membrane is assumed uniform, and sufficiently low for the Poisson-Boltzmann equation to be…

Fluid Dynamics · Physics 2014-05-15 M. Mao , J. D. Sherwood , S. Ghosal

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

The rectification of electro-osmotic flows is important in micro/nano fluidics applications such as micro-pumps and energy conversion devices. Here, we propose a simple electro-osmotic diode in which colloidal particles are contained…

Mesoscale and Nanoscale Physics · Physics 2021-10-04 Shihori Koyama , Daisuke Inoue , Akihisa Okada , Hiroaki Yoshida

Liquid transport through nanopore is central into many applications, from water purification to biosensing or energy harvesting. Ultimately thin nanopores are of major interest in these applications to increase driving potential and reduce…

Fluid Dynamics · Physics 2020-10-05 Olivier Liot , Catherine Sempere , Christophe Ybert , Anne-Laure Biance

The transport properties of nanofluidic channels are usually studied under constant (DC) voltage or pressure driving. However, the frequency response under sinusoidal (AC) drivings offers rich insights into the time-dependent transport…

Mesoscale and Nanoscale Physics · Physics 2026-04-07 Baptiste Coquinot , Mathieu Lizée , Lydéric Bocquet , Nikita Kavokine

Continuum simulation is employed to study ion transport and fluid flow through a nanopore in a solid-state membrane under an applied potential drop. Results show the existence of concentration polarization layers on the surfaces of the…

Fluid Dynamics · Physics 2015-06-16 Mao Mao , Sandip Ghosal , Guohui Hu

The optimal functioning of nanopore-based biosensing tools necessitates rapid polymer capture from the ion reservoir. We identify an ionic correlation-induced transport mechanism that provides this condition without the chemical…

Soft Condensed Matter · Physics 2018-05-10 Sahin Buyukdagli

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

In charged nanopores, ionic diffusion current reflects the ionic selectivity and ionic permeability of nanopores which determines the performance of osmotic energy conversion, i.e. the output power and efficiency. Here, theoretical…

Chemical Physics · Physics 2023-09-15 Long Ma , Zihao Gao , Jia Man , Jianyong Li , Guanghua Du , Yinghua Qiu

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…

Chemical Physics · Physics 2019-12-25 L. Zhang , P. M. Biesheuvel , I. I. Ryzhkov

Electric-field-driven electrolyte transport through nanoporous membranes is important for applications including osmotic power generation, sensing and iontronics. We derive an analytical equation in the Debye--H\"uckel regime and a…

Soft Condensed Matter · Physics 2026-05-01 Holly C. M. Baldock , David M. Huang

Fundamental understanding of ionic transport at the nanoscale is essential for developing biosensors based on nanopore technology and new generation high-performance nanofiltration membranes for separation and purification applications. We…

Single nanopores have attracted much scientific interest due to their versatile applications. The majority of experiments have been performed with nanopores being in contact with the same electrolyte on both sides of the membrane, while…

Chemical Physics · Physics 2018-12-11 Yinghua Qiu , Zuzanna S. Siwy , Meni Wanunu

Electroosmotic flow (EOF) through nanoporous membranes has broad applications in micro- and nanofluidic systems, particularly in biomedical diagnostics and chemical analysis. The use of short nanopores enables high fluid flux, and the…

Chemical Physics · Physics 2025-12-08 Chao Zhang , Xiaomei Zhang , Hongwen Zhang , Zekun Gong , Xiuhua Ren , Mengnan Guo , Yinghua Qiu

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 propose in this paper to derive and analyze a self-consistent model describing the diffusive transport in a nanowire. From a physical point of view, it describes the electron transport in an ultra-scaled confined structure, taking in…

Analysis of PDEs · Mathematics 2011-05-19 Jourdana Clément , Nicolas Vauchelet

Inducing transport in electrolyte-filled nanopores with dc fields has led to influential applications ranging from nanosensors to DNA sequencing. Here we use the Poisson-Nernst-Planck and Navier-Stokes equations to show that unbiased ac…

Soft Condensed Matter · Physics 2023-01-11 Aaron D. Ratschow , Doyel Pandey , Benno Liebchen , Somnath Bhattacharyya , Steffen Hardt

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 introduce a theoretical and numerical method to investigate the properties of electro-osmotic flows under conditions of extreme confinement. The present approach, aiming to provide a simple modeling of electrolyte solutions described as…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Simone Melchionna , Umberto Marini Bettolo Marconi
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