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Falling liquid films become unstable due to inertial effects when the fluid layer is sufficiently thick or the slope sufficiently steep. This free surface flow of a single fluid layer has industrial applications including coating and heat…

We demonstrate the existence of a fluid-structure instability arising from the interaction of electro-osmotic flow with an elastic substrate. Considering the case of flow within a soft fluidic chamber, we show that above a certain electric…

Fluid Dynamics · Physics 2020-01-22 Evgeniy Boyko , Ran Eshel , Amir D. Gat , Moran Bercovici

We investigate the effects of a nearby free surface on the stability of a flexible plate in axial flow. Confinement by rigid boundaries is known to affect flag flutter thresholds and fluttering dynamics significantly, and this work…

Fluid Dynamics · Physics 2020-06-01 J. Mougel , S. Michelin

It is well-known that stable and unstable manifolds strongly influence fluid motion in unsteady flows. These emanate from hyperbolic trajectories, with the structures moving nonautonomously in time. The local directions of emanation at each…

Dynamical Systems · Mathematics 2016-04-20 Sanjeeva Balasuriya

We consider flow-structure interactions modeled by a modified wave equation coupled at an interface with equations of nonlinear elasticity. Both subsonic and supersonic flow velocities are treated with Neumann type flow conditions, and a…

Analysis of PDEs · Mathematics 2013-11-08 Igor Chueshov , Irena Lasiecka , Justin T. Webster

Hydrodynamic instabilities in miscible fluids are ubiquitous, from natural phenomena up to geological scales, to industrial and technological applications, where they represent the only way to control and promote mixing at low Reynolds…

Soft Condensed Matter · Physics 2017-12-21 Domenico Truzzolillo , Luca Cipelletti

Direct numerical simulations are conducted to study the receptivity and transition mechanisms in a solitary wave boundary layer developing over randomly organized wave-like bottom topography. The boundary layer flow shows a selective…

Fluid Dynamics · Physics 2021-02-24 Asim Önder , Philip L. -F. Liu

We investigate the stability of stratified fluid layers undergoing homogeneous and periodic tidal deformation. We first introduce a local model which allows to study velocity and buoyancy fluctuations in a Lagrangian domain periodically…

Fluid Dynamics · Physics 2018-03-14 Thomas Le Reun , Benjamin Favier , Michael Le Bars

We study experimentally the interfacial instability between a layer of dilute polymer solution and water flowing in a thin capillary. The use of microfluidic devices allows us to observe and quantify in great detail the features of the…

Fluid Dynamics · Physics 2015-05-20 Oriane Bonhomme , Alexander Morozov , Jacques Leng , Annie Colin

We investigate the relationship between the linear surface wave instabilities of a shallow viscous fluid layer and the shape of the periodic, parametric-forcing function (describing the vertical acceleration of the fluid container) that…

Fluid Dynamics · Physics 2009-11-11 Cristian Huepe , Yu Ding , Paul Umbanhowar , Mary Silber

Elliptical instability is due to a parametric resonance of two inertial modes in a fluid velocity field with elliptical streamlines. This flow is a simple model of the motion in a tidally deformed, rotating body. Elliptical instability…

Earth and Planetary Astrophysics · Physics 2015-06-18 N. Clausen , A. Tilgner

We study traffic flow on roads with a localized periodic inhomogeneity such as traffic signals, using a stochastic car-following model. We find that in cases of congestion, traffic flow can be optimized by controlling the inhomogeneity's…

Statistical Mechanics · Physics 2007-05-23 Elad Tomer , Leonid Safonov , Nilly Madar , Shlomo Havlin

Many aquatic organisms are able to track ambient flow disturbances and locate their source. These tasks are particularly challenging because they require the organism to sense local flow information and respond accordingly. Details of how…

Optimization and Control · Mathematics 2018-04-10 Brendan Colvert , Eva Kanso

Interfacial instability would be aroused on a spherical liquid droplet when it is subject to external vertical vibration. In this paper, a linear analysis was conducted on this instability problem. The polar-angle dependent acceleration in…

Fluid Dynamics · Physics 2022-03-23 Yikai Li , Kun Wu , Dehua Liu , Ru Xi

We apply the phase-reduction analysis to examine synchronization properties of periodic fluid flows. The dynamics of unsteady flows are described in terms of the phase dynamics reducing the high-dimensional fluid flow to its single scalar…

Fluid Dynamics · Physics 2018-05-23 Kunihiko Taira , Hiroya Nakao

A droplet falling toward a solid surface displaces the surrounding air until it encounters a defect, and contact nucleates. On atomically smooth surfaces devoid of defects, contact can be delayed until the droplet rebounds; however, above a…

Fluid Dynamics · Physics 2025-02-03 Octave Castanedo , John M. Kolinski

We analyze the peculiar infrared instability that characterizes stationary inhomogeneous flows when their velocity crosses the sound speed by decreasing values. For definiteness, we work in the context of one dimensional atomic Bose…

General Relativity and Quantum Cosmology · Physics 2015-02-09 Xavier Busch , Florent Michel , Renaud Parentani

Here we have considered the effects of shallowness of the domain as well as the air-water free surface on the stratified shear instabilities of the fluid underneath. First, we numerically solve the non-Boussinesq Taylor-Goldstein equation…

Fluid Dynamics · Physics 2020-03-11 Mihir H. Shete , Anirban Guha

Polymer solutions are often injected in porous media for applications such as oil recovery and groundwater remediation. As the fluid navigates the tortuous pore space, elastic stresses build up, causing the flow to become unstable at…

Soft Condensed Matter · Physics 2020-04-22 Christopher A. Browne , Audrey Shih , Sujit S. Datta

Stability of inviscid shear shallow water flows with free surface is studied in the framework of the Benney equations. This is done by investigating the generalized hyperbolicity of the integrodifferential Benney system of equations. It is…

Fluid Dynamics · Physics 2016-10-20 Alexander Chesnokov , Gennady El , Sergey Gavrilyuk , Maxim Pavlov