Journal article
Perturbation analysis of steady and unsteady electrohydrodynamic chaotic advection inside translating drops
Physical review. E, Statistical, nonlinear, and soft matter physics, v 92(2), p023030
27 Aug 2015
PMID: 26382526
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
A drop translating in the presence of an electric field is studied analytically. The flow is a combination of a Hadamard-Rybczynski and a Taylor circulation due to the translation and electric field, respectively. We consider chaotic advection that is generated by (1) tilting and (2) time-dependent modulation of the electric field. For the analysis we consider small perturbations in time and space to what is otherwise an integrable flow. By using a robust analytical technique we find an adiabatic invariant (AI) for the system by averaging the equations of motion. The chaotic advection is due to quasirandom jumps of the AI after crossing the separatrix of the unperturbed flow. We demonstrate that the asymptotic analysis leads to a set of criteria that can be used to optimize stirring in these systems.
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Details
- Title
- Perturbation analysis of steady and unsteady electrohydrodynamic chaotic advection inside translating drops
- Creators
- Fan Wu - Temple UniversityDmitri Vainchtein - Space Research InstituteThomas Ward - Iowa State University
- Publication Details
- Physical review. E, Statistical, nonlinear, and soft matter physics, v 92(2), p023030
- Publisher
- Amer Physical Soc
- Number of pages
- 14
- Grant note
- 1362782 / Directorate For Engineering; National Science Foundation (NSF); NSF - Directorate for Engineering (ENG)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- C. and J. Nyheim Plasma Institute
- Web of Science ID
- WOS:000360127200008
- Scopus ID
- 2-s2.0-84940887388
- Other Identifier
- 991021861644904721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Physics, Fluids & Plasmas
- Physics, Mathematical