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For decades, transition to turbulence in viscoelastic parallel shear flows was believed to require nonlinear instabilities. We provide numerical evidences for a new wall-mode linear instability that directly triggers the transition to…

Fluid Dynamics · Physics 2022-11-18 Lu Zhu , Li Xi

Electrohydrodynamic instabilities of fluid-fluid interfaces can be exploited in various microfluidic applications in order to enhance mixing, replicate well-controlled patterns or generate drops of a particular size. In this work, we study…

Fluid Dynamics · Physics 2021-06-29 Mohammadhossein Firouznia , David Saintillan

At finite Reynolds numbers particles migrate across flow streamlines to their equilibrium positions in microchannels. Such a migration is attributed to an inertial lift force, and it is well-known that the equilibrium location of…

Soft Condensed Matter · Physics 2020-01-17 Tatiana V. Nizkaya , Evgeny S. Asmolov , Jens Harting , Olga I. Vinogradova

We predict a novel flow regime in liquid metals under the influence of a magnetic field. It is characterised by long periods of nearly steady, two-dimensional flow interrupted by violent three-dimensional bursts. Our prediction has been…

Fluid Dynamics · Physics 2008-12-09 Thomas Boeck , Dmitry Krasnov , Andre Thess , Oleg Zikanov

We address Euler's equations for irrotational gravity waves in an infinitely deep fluid rewritten in conformal variables. Stokes waves are traveling waves with the smooth periodic profile. In agreement with the previous numerical results,…

Analysis of PDEs · Mathematics 2025-03-21 Sergey Dyachenko , Dmitry E. Pelinovsky

The linear stability of electrically driven flow of liquid metal in circular channel in the presence of vertical magnetic field is studied. It is shown that the instability threshold of such flow is determined by magnetorotational…

Astrophysics · Physics 2007-11-20 I. V. Khalzov , A. I. Smolyakov , V. I. Ilgisonis

In this paper we investigate a new instability of the Lamb-Chaplygin dipole in a stratified fluid. Through numerical linear stability analysis, a secondary peak in the growth rate emerges at vertical scales about an order of magnitude…

Fluid Dynamics · Physics 2018-04-25 Luke Bovard , Michael L. Waite

Direct numerical simulations of a uniform flow past a fixed spherical droplet are performed to determine the parameter range within which the axisymmetric flow becomes unstable. The problem is governed by three dimensionless parameters: the…

Fluid Dynamics · Physics 2025-09-19 Pengyu Shi , Éric Climent , Dominique Legendre

We present a "fluid dynamics video" showing results from direct numerical simulations of electrokinetic transport in a binary electrolyte in two systems: (1) next to an ion-selective membrane and (2) around a metallic cylinder. The…

Fluid Dynamics · Physics 2013-10-15 Mathias B. Andersen , Clara L. Druzgalski , Scott M. Davidson , Ali Mani

The flow instability and further transition to turbulence in a toroidal pipe (torus) with curvature (tube-to-coiling diameter) 0.049 is investigated experimentally. The flow inside the toroidal pipe is driven by a steel sphere fitted to the…

Fluid Dynamics · Physics 2015-08-27 J. Kühnen , M. Holzner , B. Hof , H. Kuhlmann

We report evidence of irregular unsteady flow of two-dimensional polymer solutions in the absence of inertia in cross-slot geometry using numerical simulations of Oldroyd-B model. By exploring the transition to time-dependent flow versus…

Soft Condensed Matter · Physics 2021-02-10 Dário Oliveira Canossi , Gilmar Mompean , Stefano Berti

A numerical study of laminar flow through symmetric and slightly asymmetric sudden expansion, of expansion ratio 1:3, in channels with increasing cross section, is carried out using two different approaches - Conventional CFD and Lattice…

Fluid Dynamics · Physics 2021-03-05 Jithin M , Alok Mishra , Ashoke De , Malay K Das

In inertial microfluidics lift forces cause a particle to migrate across streamlines to specific positions in the cross section of a microchannel. We control the rotational motion of a particle and demonstrate that this allows to manipulate…

Fluid Dynamics · Physics 2014-02-11 Christopher Prohm , Nikolas Zöller , Holger Stark

The main objective of this article is to derive a mathematical theory associated with the nonlinear stability and dynamic transitions of the basic shear flows associated with baroclinic instability, which plays a fundamental role in the…

Atmospheric and Oceanic Physics · Physics 2017-05-24 Ming Cai , Marco Hernandez , KiahWah Ong , Shouhong Wang

The steady-state current-voltage response of ion-selective systems varies as the number of ion-selective components is varied. For the highly investigated unipolar system, including only one ion-selective component, it has been shown that…

Mesoscale and Nanoscale Physics · Physics 2024-11-27 Ramadan Abu-Rjal , Yoav Green

The linear stability of stratified two-phase flows in rectangular ducts is studied numerically. The linear stability analysis takes into account all possible infinitesimal three-dimensional disturbances and is carried out by solution of the…

Fluid Dynamics · Physics 2020-04-09 Alexander Gelfgat , Neima Brauner

We have produced a fluid dynamics video with data from Direct Numerical Simulation (DNS) of a jet in crossflow at several low values of the velocity inflow ratio R. We show that, as the velocity ratio R increases, the flow evolves from…

We numerically investigate the hydrodynamic characteristics and analyze the instability mechanism of a two-dimensional inverted flag clamped by a cylinder. Two transition routes and a total of six kinds of solutions exist under this…

Fluid Dynamics · Physics 2024-08-21 Haokui Jiang , Yujia Zhao , Burigede Liu , Shunxiang Cao

Thin film dynamics and associated instability mechanisms have triggered a wide range of scientific innovations, as attributed to their abilities of creating fascinating patterns over small scales. Here, we demonstrate a new thin film…

Fluid Dynamics · Physics 2014-12-04 Debapriya Chakraborty , Suman Chakraborty

We use a combination of numerical simulations and experiments to elucidate the structure of the flow of an electrically conducting fluid past a localized magnetic field, called magnetic obstacle. We demonstrate that the stationary flow…

Fluid Dynamics · Physics 2007-05-23 E. V. Votyakov , Yu. Kolesnikov , O. Andreev , E. Zienicke , A. Thess