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Various dispersions of attractive particles are known to aggregate into patterns of vorticity-aligned stripes when sheared in confined geometries. We report a thorough experimental investigation of such shear-induced vorticity alignment…

Soft Condensed Matter · Physics 2013-01-30 Vincent Grenard , Nicolas Taberlet , Sebastien Manneville

We examine the efficacy of streamwise traveling waves generated by a zero-net-mass-flux surface blowing and suction for controlling the onset of turbulence in a channel flow. For small amplitude actuation, we utilize weakly nonlinear…

Fluid Dynamics · Physics 2011-11-29 Rashad Moarref , Mihailo R. Jovanović

We investigate steady granular surface flows in a rotating drum and demonstrate the existence of rigid clusters of grains embedded in the flowing layer. These clusters are fractal and their size is power-law distributed from the grain size…

Condensed Matter · Physics 2016-02-26 D. Bonamy , F. Daviaud , L. Laurent , M. Bonetti , J. P. Bouchaud

Particles such as microplastics and phytoplankton suspended in the water column in the natural environment are often subject to the action of surface gravity waves. By modelling such anisotropic particles as small spheroids that slowly…

Fluid Dynamics · Physics 2023-08-03 Nimish Pujara , Jean-Luc Thiffeault

We consider a two-dimensional, two-layer, incompressible, steady flow, with vorticity which is constant in each layer, in an infinite channel with rigid walls. The velocity is continuous across the interface, there is no surface tension or…

Analysis of PDEs · Mathematics 2023-10-18 Karsten Matthies , Jonathan Sewell , Miles H. Wheeler

The aim of this work is to shed light by revisiting - through the kernel-wave (KW) perspective - the breakdown of a quasi-geostrophic (QG) mixing layer (or vortex strip/filament) in atmosphere under the influence of a background shear. The…

Fluid Dynamics · Physics 2019-02-06 Luca Biancofiore , Orkan M. Umurhan

Real world water waves often propagate on current. And, the measurement of waves and current is an important task for coastal and marine engineers. Modern marine measurement technologies (i.e. unmanned autonomous vehicles, drones) often…

Fluid Dynamics · Physics 2020-07-31 David M. Kouskoulas , Yaron Toledo

In this article we apply local bifurcation theory to prove the existence of small-amplitude steady periodic water waves, which propagate over a flat bed with a specified fixed mean-depth, and where the underlying flow has a discontinuous…

Analysis of PDEs · Mathematics 2024-09-16 David Henry , Silvia Sastre-Gomez

We perform a linear stability analysis of extended domains in phase-separating fluids of equal viscosity, in two dimensions. Using the coupled Cahn-Hilliard and Stokes equations, we derive analytically the stability eigenvalues for long…

Statistical Mechanics · Physics 2009-10-30 Amalie Frischknecht

The complex interaction between turbulence and the free surface in boundary layer shear flow created by a vertical surface-piercing wall is considered. A laboratory-scale device was built that utilizes a surface-piercing stainless steel…

Fluid Dynamics · Physics 2017-03-29 Nathan Washuta , Naeem Masnadi , James H. Duncan

We use three-dimensional direct numerical simulations of homogeneous isotropic turbulence in a cubic domain to investigate the dynamics of heavy, chiral, finite-size inertial particles and their effects on the flow. Using an…

Fluid Dynamics · Physics 2024-10-21 Giulia Piumini , Martin P. A. Assen , Detlef Lohse , Roberto Verzicco

We examine the effects of a periodically varying flow velocity on the standing and travelling wave patterns formed by the flow-distributed oscillation (FDO) mechanism. In the kinematic (or diffusionless) limit, the phase fronts undergo a…

Pattern Formation and Solitons · Physics 2009-11-11 Patrick N. McGraw , Michael Menzinger

For two-dimensional steady pure-gravity water waves with a unidirectional flow of constant favourable vorticity, we prove an explicit bound on the amplitude of the wave, which decays to zero as the vorticity tends to infinity. Notably, our…

Analysis of PDEs · Mathematics 2023-06-14 Evgeniy Lokharu , Erik Wahlén , Jörg Weber

The initial-boundary value problem of the vorticity equation has been solved numerically by an iterative method. A variety of initial vorticity distributions is specified. All of them can be described by simple mathematical functions: there…

Fluid Dynamics · Physics 2018-08-23 F. Lam

Oceanic internal waves often have curvilinear fronts and propagate over various currents. We present the first study of long weakly-nonlinear internal ring waves in a three-layer fluid in the presence of a background linear shear current.…

Fluid Dynamics · Physics 2022-07-01 D. Tseluiko , N. S. Alharthi , R. Barros , K. R. Khusnutdinova

We explore the conditions required for isolated vortices to exist in sheared zonal flows and the stability of the underlying zonal winds. This is done using the standard 2-layer quasigeostrophic model with the lower layer depth becoming…

Atmospheric and Oceanic Physics · Physics 2018-09-25 Glenn R. Flierl , Philip J. Morrison , Rohith Vilasur Swaminathan

In the context of subaqueous ripple and dune formation, we present here a Reynolds averaged calculation of the turbulent flow over a topography. We perform a weakly non-linear expansion of the velocity field, sufficiently accurate to…

Soft Condensed Matter · Physics 2008-11-14 A. Fourrière , P. Claudin , B. Andreotti

The rheology of surface granular flows is investigated by means of measurements of velocity and number density profiles in a quasi-two-dimensional rotating cylinder, half-filled with mono-disperse steel balls. The measurements are made at…

Soft Condensed Matter · Physics 2015-06-25 Ashish V. Orpe , D. V. Khakhar

We consider the propagation of surface shear waves in a half-plane, whose shear modulus $\mu(y)$ and density $\rho(y)$ depend continuously on the depth coordinate $y$. The problem amounts to studying the parametric Sturm-Liouville equation…

Classical Analysis and ODEs · Mathematics 2018-10-16 Andrey Sarychev , Alexander Shuvalov , Marco Spadini

The refraction of surface gravity waves by currents leads to spatial modulations in the wave field and, in particular, in the significant wave height. We examine this phenomenon in the case of waves scattered by a localised current feature,…

Fluid Dynamics · Physics 2023-11-13 Han Wang , Ana B. Villas Bôas , William R. Young , Jacques Vanneste
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