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Hydrodynamic flow of charge carriers in graphene is an energy flow unlike the usual mass flow in conventional fluids. In neutral graphene, the energy flow is decoupled from the electric current, making it difficult to observe the…

Mesoscale and Nanoscale Physics · Physics 2021-08-26 B. N. Narozhny , I. V. Gornyi , M. Titov

About forty years ago, it has been predicted that a charged particle, moving parallel to a charged wall in an electrolyte, should experience a lift force that, contrarily to electrostatic forces, is not screened at large distances. Up to…

Soft Condensed Matter · Physics 2026-02-16 Hao Zhang , Zaicheng Zhang , Thomas Guérin , Abdelhamid Maali

Hydrodynamics is a general description for the flow of a fluid, and is expected to hold even for fundamental particles such as electrons when inter-particle interactions dominate. While various aspects of electron hydrodynamics were…

We experimentally investigate the dynamics of capillary-driven flows at the nanoscale, using an original platform that combines nanoscale pores and microfluidic features. Our results show a coherent picture across multiple experiments…

Soft Condensed Matter · Physics 2015-10-05 Olivier Vincent , Alexandre Szenicer , Abraham D. Stroock

A suspended fluid film with two free surfaces convects when a sufficiently large voltage is applied across it. We present a linear stability analysis for this system. The forces driving convection are due to the interaction of the applied…

patt-sol · Physics 2009-10-30 Zahir A. Daya , Stephen W. Morris , John R. de Bruyn

We consider the steady-state analysis of a pinned elastic plate lying on the free surface of a thin viscous fluid, forced by the motion of a bottom substrate moving at constant speed. A mathematical model incorporating elasticity,…

Fluid Dynamics · Physics 2025-05-20 Philippe H. Trinh , Stephen K. Wilson , Howard A. Stone

Electrospray technology enables external electric fields to steer charged droplets, with potential applications in fuel-air mixing and aerodynamic flow control. This study develops a computational framework that couples a steady OpenFOAM…

Fluid Dynamics · Physics 2025-09-30 Ethan Kahn

Electron hydrodynamics is an emerging framework that describes dynamics of interacting electron systems as conventional fluids. While evidence for hydrodynamic-like transport is reported in a variety of two-dimensional materials, precise…

Mesoscale and Nanoscale Physics · Physics 2025-03-25 Yihang Zeng , Haoyu Guo , Olivia M. Ghosh , Kenji Watanabe , Takashi Taniguchi , Leonid S. Levitov , Cory R. Dean

We address semigroup well-posedness for a linear, compressible viscous fluid interacting at its boundary with an elastic plate. We derive the model by linearizing the compressible Navier-Stokes equations about an arbitrary flow state, so…

Analysis of PDEs · Mathematics 2018-08-17 George Avalos , Pelin Guven Geredeli , Justin T. Webster

We theoretically study the electrokinetic transport properties of nano-fluidic devices under the influence of a pressure, voltage or salinity gradient. On a microscopic level the behaviour of the device is quantified by the Onsager matrix…

Soft Condensed Matter · Physics 2019-12-02 B. L. Werkhoven , R. van Roij

In this study we consider the problem of the interface motion under the capillary-gravity and an external electric forces. The infinitely deep fluid layer is assumed to be viscous, perfectly conducting and the flow to be incompressible. The…

Fluid Dynamics · Physics 2020-02-20 Matthew Hunt , Denys Dutykh

Nonlinear traveling waves that are precursors to laminar-turbulent transition and capture the main structures of the turbulent buffer layer have recently been found to exist in all the canonical parallel flow geometries. We study the effect…

Fluid Dynamics · Physics 2009-11-11 Wei Li , Li Xi , Michael D. Graham

Viscous flow of interacting electrons in two dimensional materials features a bunch of exotic effects. A model resembling the Navier-Stokes equation for classical fluids accounts for them in the so called hydrodynamic regime. We performed a…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Jorge Estrada-Álvarez , Francisco Domínguez-Adame , Elena Díaz

Nanoscale enables a broad range of electromechanical coupling mechanisms that are forbidden or negligible in the materials. We conduct a theoretical study of the electromechanical response of thin paraelectric films with mobile vacancies…

Materials Science · Physics 2013-05-29 A. N. Morozovska , E. A. Eliseev , G. S. Svechnikov , S. V. Kalinin

We consider a thin horizontal layer of a non-magnetic electrolyte containing a bulk solution of salt and carrying an electric current. The layer is bounded by two deformable free surfaces loaded with an insoluble surfactant and is placed in…

Fluid Dynamics · Physics 2023-10-10 Andrey Pototsky , Sergey A. Suslov

We account for the presence of surface charges towards describing variations in the dynamic contact angle of an advancing liquid-gas meniscus. Starting from the thin-film based formalism, we present closed-form analytical expressions…

Fluid Dynamics · Physics 2015-09-11 Palash V. Acharya , Kaustav Chaudhury , Suman Chakraborty

We report an investigation of the equilibrium and dynamic properties of polyelectrolyte solutions confined between platinum surfaces with a dynamic Surface Force Apparatus. The polyelectrolyte adsorbs on the surfaces in a dense compact…

Soft Condensed Matter · Physics 2018-03-12 Chloé Barraud , Benjamin Cross , Cyril Picard , Frédéric Restagno , Liliane Léger , Elisabeth Charlaix

The mathematical model of a rotating electrohydrodynamic flow in a thin suspended liquid film is proposed and studied. The motion is driven by the given difference of potentials in one direction and constant external electrical field…

Fluid Dynamics · Physics 2009-02-24 E. V. Shiryaeva , V. A. Vladimirov , M. Yu. Zhukov

Theoretical modeling of electroosmosis through conducting (ideally polarizable) nanochannels is reported. Based on the theory of induced charge electrokinetics, a novel nanofluidic system which possesses both adjustable ion selective…

Fluid Dynamics · Physics 2015-07-23 Cunlu Zhao , Chun Yang

In this work, we investigate the effect of the hydrodynamic wall-fluid friction in electro-osmotic flows. First, we present the solution to the electro-hydrodynamic equation for the electro-osmotic velocity profile, which is derived for an…

Soft Condensed Matter · Physics 2024-07-08 Sleeba Varghese , Billy D. Todd , Jesper S. Hansen