Using resonances to control chaotic mixing within a translating and rotating droplet

Document Type

Article

Publication Date

1-1-2010

Abstract

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 microreactors. In this work, we consider the Stokes flow of a translating spherical liquid droplet which we perturb by imposing a time-periodic rigid-body rotation. Using the tools of dynamical systems, we have shown in previous work that the rotation not only leads to one or more three-dimensional chaotic mixing regions, in which mixing occurs through the stretching and folding of material lines, but also offers the possibility of controlling both the size and the location of chaotic mixing within the drop. Such a control was achieved through appropriate tuning of the amplitude and frequency of the rotation in order to use resonances between the natural frequencies of the system and those of the external forcing. In this paper, we study the influence of the orientation of the rotation axis on the chaotic mixing zones as a third parameter, as well as propose an experimental set up to implement the techniques discussed. © 2009 Elsevier B.V. All rights reserved.

Identifier

76349091136 (Scopus)

Publication Title

Communications in Nonlinear Science and Numerical Simulation

External Full Text Location

https://doi.org/10.1016/j.cnsns.2009.08.007

ISSN

10075704

First Page

2124

Last Page

2132

Issue

8

Volume

15

Grant

EUR 344-88-1 FUA F

Fund Ref

National Science Foundation

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