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Journal article
Using Resonances to Control Chaotic Mixing within a Translating and Rotating Droplet
Communications in nonlinear science & numerical simulation, v 15(8), pp 2124-2132
01 Aug 2010
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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.
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Details
- Title
- Using Resonances to Control Chaotic Mixing within a Translating and Rotating Droplet
- Creators
- Rodolphe Chabreyrie - Carnegie Mellon UniversityDmitri Vainchtein - Space Research InstituteCristel Chandre - Centre National de la Recherche ScientifiquePushpendra Singh - New Jersey Institute of TechnologyNadine Aubry - Carnegie Mellon University
- Publication Details
- Communications in nonlinear science & numerical simulation, v 15(8), pp 2124-2132
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- C. and J. Nyheim Plasma Institute
- Web of Science ID
- WOS:000275730200017
- Scopus ID
- 2-s2.0-76349091136
- Other Identifier
- 991021862260004721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics, Applied
- Mathematics, Interdisciplinary Applications
- Mechanics
- Physics, Fluids & Plasmas
- Physics, Mathematical