Designing for chaos: applications of chaotic advection at the microscale

Stremler, Mark A.; Haselton, Frederick R.; Aref, Hassan

doi:10.1098/rsta.2003.1360

Cited by 109 publications

(82 citation statements)

References 113 publications

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“…Strategies to mix fluids 1,9,10 and control particles 11,12 using engineered systems exist, often relying on chaotic fluid transformations as an effective tool 13,14 to disrupt sustained regions of order in the flow 10,15 . Rather than apply flow transformations to prevent order, here we develop a hierarchical approach to engineer fluid streams into a broad class of complex configurations.…”

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confidence: 99%

Engineering fluid flow using sequenced microstructures

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Controlling the shape of fluid streams is important across scales: from industrial processing to control of biomolecular interactions. Previous approaches to control fluid streams have focused mainly on creating chaotic flows to enhance mixing. Here we develop an approach to apply order using sequences of fluid transformations rather than enhancing chaos. We investigate the inertial flow deformations around a library of single cylindrical pillars within a microfluidic channel and assemble these net fluid transformations to engineer fluid streams. As these transformations provide a deterministic mapping of fluid elements from upstream to downstream of a pillar, we can sequentially arrange pillars to apply the associated nested maps and, therefore, create complex fluid structures without additional numerical simulation. To show the range of capabilities, we present sequences that sculpt the cross-sectional shape of a stream into complex geometries, move and split a fluid stream, perform solution exchange and achieve particle separation. A general strategy to engineer fluid streams into a broad class of defined configurations in which the complexity of the nonlinear equations of fluid motion are abstracted from the user is a first step to programming streams of any desired shape, which would be useful for biological, chemical and materials automation.

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Engineering fluid flow using sequenced microstructures

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“…On the one hand, chaotic advection has been embraced by the practitioners of microfluidics, essentially as a design tool for microfluidic configurations that mix well. For an example of the application to microarrays, see Stremler et al (2004), but there are now many others. On the other hand, new theoretical developments have become possible with the realization that basic elements of the topology of the flow will enforce chaotic advection, indeed will lead to a form of 'maximally chaotic' advecting flow known as pseudo-Anosov.…”

Section: Case Studies (A ) Flow Kinematics and Chaosmentioning

confidence: 99%

Something old, something new

Aref

2008

Phil. Trans. R. Soc. A.

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“…In most practical applications of fluid mixing, homogenisation is greatly accelerated by inducing turbulence or unsteady advection, resulting in rapid dilation of fluid elements and chaotic Lagrangian particle trajectories. In many instances fluid mixing must be promoted in the considerably more challenging laminar regime, either because turbulence is precluded by low Reynolds number (for example, dough, molten glass, microfluidic devices [9,11,15, e.g.]) or because high shear rates are undesirable (for example, dissolved protein characterised by a fragile three dimensional molecular structure [13]).…”

Section: Non-inertial Fluid Mixingmentioning

confidence: 99%

A topological approach to three dimensional laminar mixing

Jewell

2012

ANZIAMJ

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In recent years, topological concepts have yielded valuable insights into the long standing problem of laminar fluid mixing. Topologically complex stirring protocols are typically far superior to topologically simple protocols, guaranteeing chaotic advection of fluid particles and the associated exponential dilation of material elements. Furthermore, topological approaches to mixer design are typically intuitive and insensitive to precise geometry or fluid properties. However, results to date have been limited to two dimensional flows (for example, batch stirrers in food or polymer manufacturing) and quasi three dimensional protocols (for example, continuous flow micromixers). Motivated by a simple stretching and folding argument that works well in two dimensions, we propose a topological approach to fully three dimensional fluid mixing. A transition matrix is derived to describe the mapping induced by a three dimensional 'braid' on area elements,

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Designing for chaos: applications of chaotic advection at the microscale

Cited by 109 publications

References 113 publications

Engineering fluid flow using sequenced microstructures

Engineering fluid flow using sequenced microstructures

Something old, something new

A topological approach to three dimensional laminar mixing

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