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Motivated by recent experimental advances (Stroock et al. 2002) in microfluidic mixers, we study the passive mixing and flow properties of a patterned microchannel by means of computational fluid dynamics (CFD). Such geometries overcome the…

Soft Condensed Matter · Physics 2007-05-23 J. P. Bennett , C. H. Wiggins

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

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

Mixing in fluids is a rapidly developing field of fluid mechanics \cite{Sreen,Shr,War}, being an important industrial and environmental problem. The mixing of liquids at low Reynolds numbers is usually quite weak in simple flows, and it…

Chaotic Dynamics · Physics 2009-11-07 Alexander Groisman , Victor Steinberg

Aligned superhydrophobic surfaces with the same texture orientation reduce drag in the channel and generate secondary flows transverse to the direction of the applied pressure gradient. Here we show that a transverse shear can be easily…

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 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

We investigate how surface waves enhance mixing across the interface between two miscible fluids with a small density contrast. Imposing a vertical, time-periodic acceleration, we excite Faraday waves both experimentally and numerically. In…

We study the temporal linear instability of channel flow subject to a tensorial slip boundary condition that models the slip effect induced by microgroove-type super-hydrophobic surfaces. The microgrooves are not necessarily aligned with…

Fluid Dynamics · Physics 2022-09-13 Xueyan Zhai , Kaiwen Chen , Baofang Song

Laminar flow prevails in microfluidic channels, and mixing is limited by the slow diffusive process at the interface between the mixing liquids. Whitesides and co-workers demonstrated a chaotic mixer by patterning the floor of the…

Soft Condensed Matter · Physics 2024-05-21 Prajakta Hiwase , V. Meenakshi

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

Mixing in numerous medical and chemical applications, involving overly long microchannels, can be enhanced by inducing flow instabilities. The channel length, is thus shortened in the inertial microfluidics regime due to the enhanced…

Fluid Dynamics · Physics 2019-05-13 Saunak Sengupta , Sukhendu Ghosh , Sandeep Saha , Suman Chakraborty

Boundary conditions dictate how fluids, including liquid crystals, flow when pumped through a channel. Can boundary conditions also be used to control internally driven active fluids that generate flows spontaneously? By using numerical…

Soft Condensed Matter · Physics 2022-09-13 Paarth Gulati , Suraj Shankar , M. Cristina Marchetti

We propose a novel strategy for designing chaotic micromixers using curved channels confined between two flat planes. The location of the separatrix between the Dean vortices, induced by centrifugal force, is dependent on the location of…

Chaotic Dynamics · Physics 2015-06-23 P. Garg , J. R. Picardo , S. Pushpavanam

We present a set of new energy-stable open boundary conditions for tackling the backflow instability in simulations of outflow/open boundary problems for incompressible flows. These boundary conditions are developed through two steps: (i)…

Fluid Dynamics · Physics 2019-05-22 Naxian Ni , Zhiguo Yang , Suchuan Dong

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…

Efficient mixing of fluids is essential in many practical applications to achieve homogeneity. For microscopic systems, however, both diffusion and turbulence are ineffective methods to achieve chaotic mixing due to the low Reynolds number,…

Soft Condensed Matter · Physics 2025-09-18 Yue Wang , Jonas Berx

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

Topological chaos has emerged as a powerful tool to investigate fluid mixing. While this theory can guarantee a lower bound on the stretching rate of certain material lines, it does not indicate what fraction of the fluid actually…

Chaotic Dynamics · Physics 2016-03-08 Spencer A. Smith , Sangeeta Warrier

Due to scaling laws, in microfluidic, flows are laminar. Consequently, mixing between two liquids is mainly obtained by natural diffusion which may take a long time or equivalently requires centimetre length channels. To reduce time and…

Other Computer Science · Computer Science 2007-11-29 O. Français , M. -C. Jullien , L. Rousseau , P. Poulichet , S. Desportes , A. Chouai , J. -P. Lefevre , J. Delaire
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