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Oscillatory switching centrifugation: dynamics of a particle in a pulsating vortex

Published online by Cambridge University Press:  25 October 2018

Francesco Romanò Open the ORCID record for Francesco Romanò [Opens in a new window]
Francesco Romanò*
Affiliation:
Department of Biomedical Engineering, University of Michigan, 2123 Carl A. Gerstacker Building, 2200 Bonisteel Boulevard, Ann Arbor, MI 48109-2099, USA
*
†Email address for correspondence: frromano@umich.edu
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Abstract

The dynamics of a small rigid spherical particle in an unbounded pulsating vortex is considered, keeping constant the particle Stokes number $St$ and varying the particle-to-fluid density ratio $\unicode[STIX]{x1D71A}$ and the pulsation frequency of the vortex $\unicode[STIX]{x1D714}$. We show that the asymptotic dynamics of a particle of given $St$ and $\unicode[STIX]{x1D71A}$ can be controlled by varying $\unicode[STIX]{x1D714}$, turning the vortex core either into an attractor or a repellor. The creation of non-trivial particle limit cycles characterizes the boundaries between centrifugal and centripetal regions in parameter space. The discovered phenomenon is termed oscillatory switching centrifugation and its implications for particle demixing processes, biological protocols, lab-on-a-chip devices and dynamical systems theory are discussed at the end.

JFM classification

Nonlinear Dynamical Systems: Nonlinear Dynamical Systems Multiphase and Particle-laden Flows: Particle/fluid flow Geophysical and Geological Flows: Rotating flows
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 857 , 25 December 2018 , R3
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Copyright
© 2018 Cambridge University Press 

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