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Mixing in viscous fluids is challenging, but chaotic advection in principle allows efficient mixing. In the best possible scenario,the decay rate of the concentration profile of a passive scalar should be exponential in time. In practice,…

Fluid Dynamics · Physics 2013-09-24 Jean-Luc Thiffeault , Emmanuelle Gouillart , Olivier Dauchot

Chaotic mixing in a closed vessel is studied experimentally and numerically in different 2-D flow configurations. For a purely hyperbolic phase space, it is well-known that concentration fluctuations converge to an eigenmode of the…

We report on the decay of a passive scalar in chaotic mixing protocols where the wall of the vessel is rotated, or a net drift of fluid elements near the wall is induced at each period. As a result the fluid domain is divided into a central…

Soft Condensed Matter · Physics 2010-07-06 Emmanuelle Gouillart , Jean-Luc Thiffeault , Olivier Dauchot

We investigate experimentally the mixing dynamics in a channel flow with a finite stirring region undergoing chaotic advection. We study the homogenization of dye in two variants of an eggbeater stirring protocol that differ in the extent…

Chaotic Dynamics · Physics 2010-04-30 Emmanuelle Gouillart , Olivier Dauchot , Jean-Luc Thiffeault , Stéphane Roux

We study numerically joint mixing of salt and colloids by a chaotic velocity field $\mathbf{V}$, and how salt inhomogeneities accelerate or delay colloid mixing by inducing a velocity drift $\mathbf{V}_{\rm dp}$ between colloids and fluid…

Enhancing and controlling chaotic advection or chaotic mixing within liquid droplets is crucial for a variety of applications including digital microfluidic devices which use microscopic ``discrete'' fluid volumes (droplets) as…

Chaotic Dynamics · Physics 2009-09-18 Rodolphe Chabreyrie , Dmitri Vainchtein , Cristel Chandre , Pushpendra Singh , Nadine Aubry

We investigate the enhancement of both mixing and heat transfer in a two-rod mixer for highly-viscous non-Newtonian fluids. The mixer is composed of two vertical, circular rods in a cylindrical tank. Chaotic flows are obtained by imposing…

Fluid Dynamics · Physics 2010-08-02 Kamal El Omari , Yves Le Guer

In this article, we present experimental results of chaotic mixing of Newtonian uids and yield stress fluids using rod-stirring protocol with rotating vessel. We show how the mixing of yield stress fluids by chaotic advection is reduced…

Soft Condensed Matter · Physics 2013-10-02 Dawn M. Wendell , Franck Pigeonneau , Emmanuelle Gouillart , Pierre Jop

Mixing in low Reynolds number flow is difficult because in this laminar regime it occurs mostly via slow molecular diffusion. This letter reports a simple way to significantly enhance low Reynolds number passive microfluidic flow mixing in…

Viscoelastic flows transition from steady to time-dependent, chaotic dynamics under critical flow conditions, but the implications of geometric disorder for flow stability in these systems are unknown. Utilizing microfluidics, we flow a…

Fluid Dynamics · Physics 2020-04-29 Derek M. Walkama , Nicolas Waisbord , Jeffrey S. Guasto

A stirring device consisting of a periodic motion of rods induces a mapping of the fluid domain to itself, which can be regarded as a homeomorphism of a punctured surface. Having the rods undergo a topologically-complex motion guarantees at…

Chaotic Dynamics · Physics 2008-08-27 Jean-Luc Thiffeault , Matthew D. Finn , Emmanuelle Gouillart , Toby Hall

We investigate the influence of elastic turbulence on mixing of a scalar concentration field within a viscoelastic fluid in a two-dimensional Taylor-Couette geometry using numerical solutions of the Oldroyd-B model. The flow state is…

Fluid Dynamics · Physics 2025-01-03 Reinier van Buel , Holger Stark

It is shown that the addition of small amounts of microscopic rods in a viscous fluid at low Reynolds number causes a significant increase of the flow resistance. Numerical simulations of the dynamics of the solution reveal that this…

Fluid Dynamics · Physics 2017-11-22 Emmanuel L. C. VI M. Plan , Stefano Musacchio , Dario Vincenzi

Microscopic flows are almost universally linear, laminar and stationary because Reynolds number, $Re$, is usually very small. That impedes mixing in micro-fluidic devices, which sometimes limits their performance. Here we show that truly…

Chaotic Dynamics · Physics 2009-11-10 Teodor Burghelea , Enrico Segre , Israel Bar-Joseph , Alex Groisman , Victor Steinberg

We address the evaluation of mixing efficiency in experiments of chaotic mixing inside an open-flow channel. Since the open flow continuously brings new fluid into the limited mixing region, it is difficult to define relevant mixing…

Soft Condensed Matter · Physics 2011-05-02 Emmanuelle Gouillart , Olivier Dauchot , Jean-Luc Thiffeault

We study a dense colloidal suspension confined between two quasiparallel glass plates as a model system for a supercooled liquid in confined geometries. We directly observe the three-dimensional Brownian motion of the colloidal particles…

Soft Condensed Matter · Physics 2012-06-01 Kazem V. Edmond , Carolyn R. Nugent , Eric R. Weeks

We study phase-separating fluid mixtures as they demix in the presence of chemical reactions that maintain them away from thermodynamic equilibrium. We show that in such chemically active emulsions the interplay of chemical reactions, phase…

Fluid Dynamics · Physics 2025-09-22 Charu Datt , Jonathan Bauermann , Nazmi Burak Budanur , Frank Jülicher

Numerous studies have demonstrated the potential for simple fluid plus particle systems to produce complicated dynamical behavior. In this work, we study a horizontal rotating drum filled with pure glycerol and three large, heavy spheres.…

Fluid Dynamics · Physics 2010-03-24 James E. Davidheiser , Paul Syers , P. N. Segrè , Eric R. Weeks

The bulk phase behavior of a fluid is typically altered when the fluid is brought into confinement by the walls of a random porous medium. Inside the porous medium, phase transition points are shifted, or may disappear altogether. A crucial…

Statistical Mechanics · Physics 2015-06-16 Giuseppe Pellicane , Richard L. C. Vink , Bruno Russo , Paolo V. Giaquinta

Instability of stratified multi-phase flow in a rotating platform becomes important because of a potential role in micro-mixing and micro-machines. Centrifugal actuation can play an important role in driving the flow and Coriolis force can…

Fluid Dynamics · Physics 2018-11-29 Saunak Sengupta , Sukhendu Ghosh , Sandeep Saha , Suman Chakraborty
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