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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 study the dynamics of a dilute solution of rigid rodlike polymers in a viscous fluid at low Reynolds number by means of numerical simulations of a simple rheological model. We show that the rotational dynamics of polymers destabilizes…

Fluid Dynamics · Physics 2022-11-11 Leonardo Puggioni , Guido Boffetta , Stefano Musacchio

Mixing at the microfluidic scale is challenging due to the low Reynolds numbers and often high P\'eclet numbers. Without turbulence, mixing relies solely on diffusion, resulting in slow and inefficient mixing. We demonstrate enhanced mixing…

Fluid Dynamics · Physics 2026-03-18 Enrico Turato , Christelle N. Prinz , Jason P. Beech , Jonas. O Tegenfeldt

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

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…

The addition of minute amounts of chemically inert polyacrylamide polymer to liquids results in large instabilities under steady electro-osmotic pumping through 2:1 constrictions, demonstrating that laminar flow conditions can be broken in…

Soft Condensed Matter · Physics 2010-02-10 R. M. Bryce , M. R. Freeman

The lattice Boltzmann method, now widely used for a variety of applications, has also been extended to model multi-phase flows through different formulations. While already applied to many different configurations in the low Weber and…

Fluid Dynamics · Physics 2021-02-02 S. A. Hosseini , H. Safari , D. Thévenin

Turbulence is one of the most fascinating phenomena in nature and one of the biggest challenges for modern physics. It is common knowledge that a flow of a simple, Newtonian fluid is likely to be turbulent, when velocity is high, viscosity…

Chaotic Dynamics · Physics 2017-05-10 Alexander Groisman , Victor Steinberg

Fluid transport in microfluidic systems typically is laminar due to the low Reynolds number characteristic of the flow. The inclusion of suspended polymers imparts elasticity to fluids, allowing instabilities to be excited when substantial…

Soft Condensed Matter · Physics 2015-05-18 R. M. Bryce , M. R. Freeman

We investigate high-Reynolds number turbulence in dilute polymer solutions. We show the existence of a critical value of the Reynolds number which separates two different regimes. In the first regime, below the transition, the influence of…

Chaotic Dynamics · Physics 2009-11-07 E. Balkovsky , A. Fouxon , V. Lebedev

The flow of viscoelastic fluids in channels and pipes remain poorly understood, particularly at low Reynolds numbers. Here, we investigate the flow of polymeric solutions in straight channels using pressure measurements and particle…

Fluid Dynamics · Physics 2019-11-13 Boyang Qin , Paul F. Salipante , Steven D. Hudson , Paulo E. Arratia

We present an experimental study on the drag reduction by polymers in Taylor-Couette turbulence at Reynolds numbers ($Re$) ranging from $4\times 10^3$ to $2.5\times 10^4$. In this $Re$ regime, the Taylor vortex is present and accounts for…

Fluid Dynamics · Physics 2024-12-06 Yi-Bao Zhang , Yaning Fan , Jinghong Su , Heng-Dong Xi , Chao Sun

The efficient mixing of fluids is key in many applications, such as chemical reactions and nanoparticle precipitation. Detailed experimental measurements of the mixing dynamics are however difficult to obtain, and so predictive numerical…

Fluid Dynamics · Physics 2017-11-21 Tobias Schikarski , Wolfgang Peukert , Marc Avila

Fine manipulation of fluid flows at the microscale has a tremendous impact on mass transport phenomena of chemical and biological processes inside microfluidic platforms. Fluid mixing in the laminar flow regime at low Reynolds is poorly…

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

The frictional forces of a viscous liquid flow are a major energy loss issue and severely limit microfluidics practical use. Reducing this drag by more than a few tens of percent remain illusive. Here, we show how cylindrical…

Applied Physics · Physics 2021-10-04 Arvind Arun Dev , Peter Dunne , Thomas M. Hermans , Bernard Doudin

Microorganisms thrive in complex environments and their behavior in fluids holds significant importance for various medical and industrial applications. By conducting Lattice Boltzmann simulations, the transport and rotational properties of…

Soft Condensed Matter · Physics 2025-03-25 Yuan Zhou , Kai Qi , Marco De Corato , Kevin Stratford , Ignacio Pagonabarraga

The locomotion of swimming bacteria in simple Newtonian fluids can successfully be described within the framework of low Reynolds number hydrodynamics. The presence of polymers in biofluids generally increases the viscosity, which is…

Soft Condensed Matter · Physics 2019-08-12 Andreas Zöttl , Julia M. Yeomans

One of the most widespread canonical devices for fluid mixing is the T-shaped mixer, in which two opposing miscible liquid streams meet at a junction and then mix along a main channel. Laminar steady and time-periodic flows in T-shaped…

Fluid Dynamics · Physics 2025-09-15 Huixin Li , Mohammad Mehdi Zamani Asl , Bastian Bäuerlein , Kerstin Avila , Duo Xu , Marc Avila

The aim of this Letter is to characterize the flow regimes of suspensions of finite-size rigid particles in a viscous fluid at finite inertia. We explore the system behavior as function of the particle volume fraction and the Reynolds…

Fluid Dynamics · Physics 2015-06-18 Iman Lashgari , Francesco Picano , Wim-Paul Breugem , Luca Brandt
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