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We explore the mechanisms and regimes of mixing in yield-stress fluids by simulating the stirring of an infinite, two-dimensional domain filled with a Bingham fluid. A cylindrical stirrer moves along a circular path at constant speed to…

Fluid Dynamics · Physics 2025-10-30 Mohammad Reza Daneshvar Garmroodi , Ida Karimfazli

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

For more than 20 years it has been debated if yield stress fluids are solid below the yield stress or actually flow; whether true yield stress fluids exist or not. Advocates of the true yield stress picture have demonstrated that the…

Soft Condensed Matter · Physics 2012-11-21 Peder CF Moller , Abdoulaye Fall , Daniel Bonn

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

The flow of Newtonian fluid at low Reynolds number is, in general, regular and time-reversible due to absence of nonlinear effects. For example, if the fluid is sheared by its boundary motion that is subsequently reversed, then all the…

Soft Condensed Matter · Physics 2022-08-18 Vipin Agrawal , Dhrubaditya Mitra

We observe the emergence of a distinct, elasticity-driven flow state in a yield-stress fluid in the absence of inertia. Numerical simulations show that this elasto-plastic turbulent state is characterized by a broad spectrum of fluctuations…

We report on experiments of chaotic mixing in a closed vessel, in which a highly viscous fluid is stirred by a moving rod. We analyze quantitatively how the concentration field of a low-diffusivity dye relaxes towards homogeneity, and we…

A minimal athermal model for the flow of dense disordered materials is proposed, based on two generic ingredients: local plastic events occuring above a microscopic yield stress, and the non-local elastic release of the stress these events…

Soft Condensed Matter · Physics 2009-11-10 Guillemette Picard , Armand Ajdari , Francois Lequeux , Lyderic Bocquet

We consider the flow of a Newtonian fluid in a nano or microchannel with walls that have patterned variations in slip length. We formulate a set of equations to describe the effects on an incompressible Newtonian flow of small variations in…

Fluid Dynamics · Physics 2007-05-23 S. C. Hendy , M. Jasperse , J. Burnell

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…

Topological chaos relies on the periodic motion of obstacles in a two-dimensional flow in order to form nontrivial braids. This motion generates exponential stretching of material lines, and hence efficient mixing. Boyland et al. [P. L.…

Chaotic Dynamics · Physics 2007-05-23 Emmanuelle Gouillart , Jean-Luc Thiffeault , Matthew D. Finn

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

In this work we study chaotic mixing induced by point micro-rotors in a bounded two dimensional Stokes flow. The dynamics of the pair of rotors, modeled as rotlets, are non Hamiltonian in the bounded domain and produce chaotic advection of…

Chaotic Dynamics · Physics 2019-08-01 Phanindra Tallapragada , Senbagaraman Sudarsanamn

Numerous mixing strategies in microfluidic devices rely on chaotic advection by time-dependent body forces. The question of determining the required forcing function to achieve optimal mixing at a given kinetic energy or power input remains…

Fluid Dynamics · Physics 2011-10-18 Qizheng Yan , David Saintillan

Active nematics are an important new paradigm in soft condensed matter systems. They consist of rod-like components with an internal driving force pushing them out of equilibrium. The resulting fluid motion exhibits chaotic advection, in…

We study the evolution of a localized perturbation in a chemical system with multiple homogeneous steady states, in the presence of stirring by a fluid flow. Two distinct regimes are found as the rate of stirring is varied relative to the…

Chaotic Dynamics · Physics 2009-11-07 Zoltan Neufeld , Peter H. Haynes , Tamas Tel

When two fluids of different electrical conductivities are transported side by side in a microfluidic device under the influence of an electric field, an electrokinetic instability (EKI) is often generated after some critical values of the…

Fluid Dynamics · Physics 2022-08-17 C. Sasmal

We find that waves develop in a time-decaying mixing layer of viscoelastic fluid, leading the mean-flow to yo-yo. This is in sharp contrast with Newtonian fluids, where laminar mixing layers evolve monotonically. We combine direct numerical…

Fluid Dynamics · Physics 2026-04-27 Giulio Foggi Rota , Piyush Garg , Jason Tang , Marco Edoardo Rosti

We study the local flow properties of various materials in a vane-in-cup geometry. We use magnetic resonance imaging techniques to measure velocities and particle concentrations in flowing Newtonian fluid, yield stress fluid, and in a…

Soft Condensed Matter · Physics 2011-05-04 Guillaume Ovarlez , Fabien Mahaut , François Bertrand , Xavier Chateau

We propose a mechanism by which the efficiency of mixing in chaotic flows can be enhanced. Our mechanism consists of introducing small changes in the system parameters in regions of phase space where the local Lyapunov exponent falls…

chao-dyn · Physics 2008-02-03 Neelima Gupte , R. E. Amritkar
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