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We present an analytical study, validated by numerical simulations, of electroosmotic flow in a Hele-Shaw cell with non-uniform surface charge patterning. Applying the lubrication approximation and assuming thin electric double layer, we…

Fluid Dynamics · Physics 2015-09-15 Evgeniy Boyko , Shimon Rubin , Amir D. Gat , Moran Bercovici

We investigate electro-osmosis in aqueous solutions of polyelectrolytes using mean-field equations. A solution of positively charged polyelectrolytes is confined between two negatively charged planar surfaces, and an electric field is…

Soft Condensed Matter · Physics 2015-06-16 Yuki Uematsu , Takeaki Araki

In Hele-Shaw cells, pressure-driven viscous fluid motion between two closely-spaced plates gives rise to a two-dimensional potential flow with zero circulation. Here, we show how the introduction of electromagnetic effects enables the…

Fluid Dynamics · Physics 2024-10-11 Kyle I. McKee , John W. M. Bush

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

Nonlinear electrokinetic phenomena, where electrically driven fluid flows depend nonlinearly on the applied voltage, are commonly encountered in aqueous suspensions of colloidal particles. A prime example is the induced-charge…

Soft Condensed Matter · Physics 2024-11-27 Zhanwen Wang , Michael J. Miksis , Petia M. Vlahovska

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

Living cells and tissues can generate complex patterns of electric fields and fluid flows which can play important role in physiology. Both, fields and flows are rooted in ion transport across biological interfaces: cell membranes and…

Soft Condensed Matter · Physics 2026-05-22 Amit Singh Vishen , Ahandeep Manna , Frank Jülicher

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 propose a method of construction of exact solutions of free boundary problems corresponding to Hele-Shaw flows in presence of an external field. Such a field may arise, in particular, due to electrokinetic phenomena. Both a general…

Mathematical Physics · Physics 2007-05-23 Vladimir Entov , Pavel Etingof

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

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 describe the general phenomenon of `induced-charge electro-osmosis' (ICEO) -- the nonlinear electro-osmotic slip that occurs when an applied field acts on the ionic charge it {\sl induces} around a polarizable surface. Motivated by a…

Fluid Dynamics · Physics 2007-05-23 Todd M. Squires , Martin Z. Bazant

We show that an electro-osmotic flow near the slippery hydrophobic surface depends strongly on the mobility of surface charges, which are balanced by counter-ions of the electrostatic diffuse layer. For a hydrophobic surface with immobile…

Fluid Dynamics · Physics 2015-04-03 S. R. Maduar , A. V. Belyaev , V. Lobaskin , O. I. Vinogradova

We establish experimentally the flow patterns of induced-charge electro-osmosis (ICEO) around immobilized metallic spheres in aqueous electrolyte. The AC field modifies local electrolyte concentration and causes quadrupolar flows with…

Soft Condensed Matter · Physics 2015-06-23 Chenhui Peng , Israel Lazo , Sergij V. Shiyanovskii , Oleg D. Lavrentovich

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

We give a general, physical description of ``induced-charge electro-osmosis'' (ICEO), the nonlinear electrokinetic slip at a polarizable surface, in the context of some new techniques for microfluidic pumping and mixing. ICEO generalizes…

Fluid Dynamics · Physics 2009-11-10 Martin Z. Bazant , Todd M. Squires

Surface-bound electric charge on polymer materials can strongly influence droplet behaviour and solid-liquid charge transfer, but the mechanisms and the means to control these effects remain unclear. In this work, we systematically…

We characterize the electro-phoretic motion of charged sphere suspensions in the presence of substantial electro-osmotic flow using a recently introduced small angle super-heterodyne dynamic light scattering instrument (ISASH-LDV).…

Soft Condensed Matter · Physics 2018-08-22 Denis Botin , Jennifer Wenzl , Ran Niu , Thomas Palberg

We investigate the motion of a spherical drop in a general quadratic flow acted upon by an arbitrarily oriented externally applied uniform electric field. The drop and media are considered to be leaky dielectrics. The flow field affects the…

Fluid Dynamics · Physics 2015-04-07 Shubhadeep Mandal , Aditya Bandopadhyay , Suman Chakraborty

The electroosmotic transfer (ratio of velocity of liquid to electric current density) and conductivity of disperse system were calculated as functions of volume fraction of disperse particles. The considered model of electric double layer…

Soft Condensed Matter · Physics 2007-05-23 V. N. Shilov , N. I. Zharkikh
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