Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 15, Issue 8, Pages 2124-2132Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2009.08.007
Keywords
Chaotic advection; Chaotic mixing; Resonances; Control; Microfluidics; Droplet; Stokes flow
Categories
Funding
- NSF [CTS-0626070, CTS-0626123, 0400370]
- RBRF [09-01-00333, 08-02-00201]
- ACS Petroleum Research Fund
- EUratom-CEA [EUR 344-88-1 FUA F]
- CNRS
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0400370] Funding Source: National Science Foundation
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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. (C) 2009 Elsevier B.V. All rights reserved.
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