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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 problem of the equilibrium state of the charged many-particle system above dielectric surface is formulated.We consider the case of the presence of the external attractive pressing field and the case of its absence. The equilibrium…

Statistical Mechanics · Physics 2009-05-21 Dmytro M. Lytvynenko , Yuriy V. Slyusarenko

We theoretically study transient electroosmotic flow of general Maxwell fluids through polyelectrolyte grafted nanochannel with a layered distribution of charges. By applying the method of Laplace transform, we semi-analytically obtain…

Soft Condensed Matter · Physics 2023-09-08 Jun-Sik Sin , Nam-Il Ri , Hyon-Chol Kim , Sin-Hyok Hyon

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

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 analyze flow of non-Newtonian fluids in a Hele-Shaw cell, subjected to spatially non-uniform electroosmotic slip. Motivated by their potential use for increasing the characteristic pressure fields, we specifically focus on power-law…

Fluid Dynamics · Physics 2016-11-23 Evgeniy Boyko , Moran Bercovici , Amir D. Gat

We evaluate the electrostatic potential and the electrostatic field created by a point charge and an arbitrarly oriented electrical dipole placed near a grounded perfectly conducting sphere. Induced surface charge distributions as well as…

Physics Education · Physics 2013-04-18 F C Santos , A C Tort

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

The present study aims at utilizing field effect phenomenon to induce heterogeneous surface charge and consequently changing the fluid flow in a solid state nanochannel with converging-diverging periodicity. It is shown that the proposed…

Applied Physics · Physics 2020-02-18 Movaffaq Kateb , Mohammadreza Kolahdouz , Morteza Fathipour

We study here the curious particle dynamics resulting from electro-osmotic flow around a microchannel junction corner whose dielectric walls are weakly polarizable. The hydrodynamic velocity field is obtained via superposition of a linear…

Fluid Dynamics · Physics 2015-06-19 Matan Zehavi , Gilad Yossifon

We present numerical analyses of 2-D electrohydrodynamic (EHD) flows of a dielectric liquid between a wire electrode and two plate electrodes with a Poiseuille flow, using direct numerical simulation and global stability analysis. Both…

Fluid Dynamics · Physics 2023-07-19 Xuerao He , Pedro A. Vázquez , Mengqi Zhang

The standard Maxwell formulation of the problem of polarized dielectrics suffers from a number of difficulties, both conceptual and practical. These difficulties are particularly significant in the case of liquid interfaces, where the…

Soft Condensed Matter · Physics 2015-06-18 Dmitry V. Matyushov

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

AC Electroosmosis (ACEO) has many advantages such as low power consumption, non-moving parts, and easy to integrate etc., so it is widely used for low concentration microfluid manipulation in low frequency range. Classical ACEO theory…

Classical Physics · Physics 2012-02-03 Jiang Hong-Yuan , Li Shan-Shan , Hou Zhen-Xiu , Ren Yu-Kun , Sun Yong-Jun

We report the statistics of electric field fluctuations produced by SPC/E water inside a Kihara solute given as a hard-sphere core with a Lennard-Jones layer at its surface. The statistics of electric field fluctuations, obtained from…

Soft Condensed Matter · Physics 2015-05-28 Allan D. Friesen , Dmitry V. Matyushov

We study pattern formation in planar fluid systems driven by intermolecular cohesion (which manifests as a line tension) and dipole-dipole repulsion which are observed in physical systems including ferrofluids in Hele-Shaw cells and…

Soft Condensed Matter · Physics 2015-04-01 Jaron Kent-Dobias , Andrew J. Bernoff

A liquid volume containing dissolved solutes moves through a charged nanofluidic channel under the influence of the concentration gradient of the solutes, non-trivially modulated by the electrostatic interaction between ionic liquid and…

Fluid Dynamics · Physics 2023-08-31 Pranab Kumar Mondal

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

We study the propagation of monochromatic surface waves on a turbulent flow. The flow is generated in a layer of liquid metal by an electromagnetic forcing. This forcing creates a quasi two-dimensional (2D) turbulence with strong vertical…

Fluid Dynamics · Physics 2015-11-19 Pablo Gutiérrez , Sébastien Aumaitre

This study investigates the flow field induced by a surface dielectric barrier discharge (SDBD) system, known for its efficient pollution remediation of volatile organic compounds (VOCs). We aim to understand the flow dynamics that…