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The phenomena of liquid bridge formation due to an applied electric field is investigated. A new solution for the charged catenary is presented which allows to determine the static and dynamical stability conditions where charged liquid…

Classical Physics · Physics 2015-05-28 Klaus Morawetz

By revisiting the century-old problem of water bridge, we demonstrate that it is in fact dynamic and comprises of two coaxial water currents that carry different charges and flow in opposite directions. This spontaneous separation is…

In this paper axisymmetric solutions of the Navier-Stokes equations governing the flow induced by a half-line source when the fluid domain is bounded by a conical wall are discussed. Two types of boundary conditions are identified; one in…

Fluid Dynamics · Physics 2024-07-02 Prabakaran Rajamanickam , Adam D. Weiss

Classical Navier-Stokes equations fail to describe some flows in both the compressible and incompressible configurations. In this article, we propose a new methodology based on transforming the fluid mass velocity vector field to obtain a…

Exploring the possibility of describing a fluid flow via a time-reversible equation and its relevance for the fluctuations statistics in stationary turbulent (or laminar) incompressible Navier-Stokes flows.

Fluid Dynamics · Physics 2019-07-08 Giovanni Gallavotti

An alternative form of the general solution of the linearized stationary Navier-Stokes equations for an incompressible fluid in spherical coordinates is obtained by the vector potential method. A previously published solution to this…

Fluid Dynamics · Physics 2024-12-10 Peter Lebedev-Stepanov

The correlation between inertial range velocity fluctuations and energy dissipation in fully developed turbulence is studied using high resolution direct numerical simulation. Runs with microscale Reynolds number up to ${\cal R}_{\lambda}…

chao-dyn · Physics 2009-10-31 A. Celani , D. Biskamp

In a variety of physical situations, a bulk viscous flow is induced by a distribution of surface velocities, for example in diffusiophoresis (as a result of chemical gradients) and above carpets of cilia (as a result of biological…

Fluid Dynamics · Physics 2016-09-13 Sebastien Michelin , Eric Lauga

The electro-hydrodynamics near conducting walls is revisited. Attention is focused on the impact of an explicit diffuse Stern layer, which permittivity and viscosity differ from the bulk values, on the velocity of an electro-osmotic plug…

Fluid Dynamics · Physics 2025-08-12 Evgeny S. Asmolov , Elena F. Silkina , Olga I. Vinogradova

In this report the radial distribution functions (RDFs) of liquid water are calculated on the basis of the classical density functional theory combined with the reference interaction site model for molecular liquids. The bridge functions,…

Statistical Mechanics · Physics 2022-10-13 Shigenori Tanaka , Miki Nakano

Classical Navier-Stokes equations fail to predict shock wave profiles accurately. In this paper, the Navier-Stokes system is fully transformed using a velocity variable transformation. The transformed equations termed the re-casted…

Fluid Dynamics · Physics 2021-09-16 M. H. Lakshminarayana Reddy , S. Kokou Dadzie

In this study, new turbulence closure equations are derived in the light of turbulence as a continuous phase transition phenomenon. Closed-form Reynolds averaged Navier-Stokes equations due to those closure equations are solved numerically…

Fluid Dynamics · Physics 2026-04-22 Mohammed A. Azim

We introduce corrections to the Navier-Stokes equation arising from the transitions between molecular states and the injection of external energy. In the simplest application of the proposed post Navier-Stokes equation, we find a…

Fluid Dynamics · Physics 2009-11-13 Pascal Getreuer , A. M. Albano , A. Muriel

Fluid flows are typically studied by solving the Navier--Stokes equation. One of the fundamental assumptions of this equation is Stokes' hypothesis. This hypothesis assumes bulk viscosity, to be identically zero. The Stokes' hypothesis is a…

Fluid Dynamics · Physics 2023-03-16 Bhanuday Sharma , Rakesh Kumar

We have directly observed reversal of the polarity of charged surfaces in water upon the addition of tri- and quadrivalent ions using atomic force microscopy. The bulk concentration of multivalent ions at which charge inversion reversibly…

Statistical Mechanics · Physics 2009-11-10 K. Besteman , M. A. G. Zevenbergen , H. A. Heering , S. G. Lemay

In this visualisation the instantaneous local velocity is expressed in terms of four components to capture the development of and interactions between coherent structures in turbulent flows. It is then possible to isolate the terms linked…

Fluid Dynamics · Physics 2009-10-13 Trinh Khanh Tuoc

The longitudinal transport problem (the current is applied parallel to some bias magnetic field) in type-II superconductors is analyzed theoretically. Based on analytical results for simplified configurations, and relying on numerical…

Superconductivity · Physics 2015-03-17 H. S. Ruiz , C. López , A. Badía-Majós

We consider the modified Navier-Stokes equations in R3 describing the motion of a fluid in the presence of a rotating rigid body. Weighted Sobolev spaces are used to describe the behavior of solutions at large distances. Under suitable…

Analysis of PDEs · Mathematics 2026-01-09 Tahar Zamène Boulmezaoud , Nabil Kerdid , Amel Kourta

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 examine theoretically porous membranes in aqueous mixtures. We show that large membrane pores can be reversibly gated from `off' (co-solvent-rich, poor conductor of ions and other solutes) to 'on' (water-rich, good conductor) states by…

Soft Condensed Matter · Physics 2016-06-01 Sela Samin , Yoav Tsori
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