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Related papers: Electroosmotic flow in Hele-Shaw configurations wi…

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Patterned surfaces with large effective slip lengths, such as super-hydrophobic surfaces containing trapped gas bubbles, have the potential to greatly enhance electrokinetic phenomena. Existing theories assume either homogeneous flat…

Fluid Dynamics · Physics 2015-05-13 Supreet S. Bahga , Olga I. Vinogradova , Martin Z. Bazant

This work investigates electroviscous effects in presence of charge-dependent slip in steady pressure-driven laminar flow of a symmetric (1:1) electrolyte liquid through a uniformly charged slit contraction - expansion (4:1:4) microfluidic…

Fluid Dynamics · Physics 2022-08-24 Jitendra Dhakar , Ram Prakash Bharti

This study has numerically investigated the charge-heterogeneity effects in the electroviscous flow of symmetric ($1$:$1$) electrolyte liquid through a uniform slit microfluidic device. The Poisson's, Nernst-Planck (N-P), Navier-Stokes…

Fluid Dynamics · Physics 2024-09-26 Jitendra Dhakar , Ram Prakash Bharti

We consider the Hele-Shaw flow that arises from injection of two-dimensional fluid into a point of a curved surface. The resulting fluid domains have and are more or less determined implicitly by a mean value property for harmonic…

Analysis of PDEs · Mathematics 2012-04-10 Haakan Hedenmalm , Anders Olofsson

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

Parallel flow in a Hele-Shaw cell occurs when two immiscible liquids flow with relative velocity parallel to the interface between them. The interface is unstable due to a Kelvin-Helmholtz type of instability in which fluid flow couples…

Soft Condensed Matter · Physics 2009-10-31 J. A. Miranda , M. Widom

We discuss an electro-osmotic flow near charged porous coatings of a finite hydrodynamic permeability, impregnated with an outer electrolyte solution. It is shown that their electrokinetic (zeta) potential is generally augmented compared to…

Fluid Dynamics · Physics 2020-10-28 Olga I. Vinogradova , Elena F. Silkina , Naren Bag , Evgeny S. Asmolov

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

Motivated by the variety of applications in which nematic Hele-Shaw flow occurs, a theoretical model for Hele-Shaw flow of a nematic liquid crystal is formulated and analysed. We derive the thin-film Ericksen-Leslie equations that govern…

Soft Condensed Matter · Physics 2024-09-10 Joseph R. L. Cousins , Nigel J. Mottram , Stephen K. Wilson

We investigate the flow of two immiscible, viscous fluids in a rotating Hele-Shaw cell, when one of the fluids is a ferrofluid and an external magnetic field is applied. The interplay between centrifugal and magnetic forces in determining…

Soft Condensed Matter · Physics 2009-10-31 Jose A. Miranda

We describe the structure of the time-harmonic electromagnetic field of a vertical Hertzian electric dipole source radiating over an infinite, translation invariant two-dimensional electron system. Our model for the electron flow takes into…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Vera Andreeva , Denis A. Bandurin , Mitchell Luskin , Dionisios Margetis

The present study deals with the effect of ionic advection on electroosmotic flow over charge modulated surfaces in a generalized paradigm when the classically restrictive "weak field" limit may be relaxed. Going beyond the commonly…

Fluid Dynamics · Physics 2015-09-29 Uddipta Ghosh , Suman Chakraborty

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

We present mesoscopic simulations of the counterion-induced electroosmotic flow in different electrostatic coupling regimes. Two simulation methods are compared, Dissipative Particle Dynamics (DPD) and coupled Lattice-Boltzmann/Molecular…

Other Condensed Matter · Physics 2011-03-03 Jens Smiatek , Marcello Sega , Christian Holm , Ulf D. Schiller , Friederike Schmid

When two reservoirs of a distinct salinity are connected by channels or pores, a fluid flow termed diffusio-osmotic is generated. This article investigates the flow emerging in an uniformly charged long slit whose thickness exceeds the…

Fluid Dynamics · Physics 2026-04-27 Elena F. Silkina , Evgeny S. Asmolov , Olga I. Vinogradova

A Hele-Shaw cell is a device used to study fluid flow between two parallel plates separated by a small gap. The governing equation of flow within a Hele-Shaw cell is Darcy's law, which also describes flow through a porous medium. In this…

Fluid Dynamics · Physics 2023-05-25 Dylan Reynolds , Gustavo M. Monteiro , Sriram Ganeshan

We study the role of ionic correlations on the electroosmotic flow in planar double-slit channels, without salt. We propose an analytical theory, based on recent advances in the understanding of correlated systems. We compare the theory…

Soft Condensed Matter · Physics 2021-02-04 Ivan Palaia , Igor M. Telles , Alexandre P. dos Santos , Emmanuel Trizac

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

In this paper we report the theory describing the electro-osmotic flow in charged nanopores with constant radius and charge density driven by alternating current. We solve the ion and solution transport in unsteady conditions as described…

Chemical Physics · Physics 2018-10-17 J. Catalano , P. M. Biesheuvel

As an experimental model to mimic the flow of bio-fluids in the cell and the flow in tiny blood capillaries, we study the co-moving shear flow of dilute polymeric solutions. An inflection point shear flow profile is created by parallel…

Fluid Dynamics · Physics 2025-10-09 Jimreeves David M