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Spontaneous orbiting of two spheres levitated in a vibrated liquid

Pacheco Martinez, H.A.; Liao, L.; Hill, R.J.A.; Swift, Michael R.; Bowley, R.M.

Authors

H.A. Pacheco Martinez

L. Liao

R.J.A. Hill

Michael R. Swift

R.M. Bowley

Abstract

In the absence of gravity, particles can form a suspension in a liquid irrespective of the difference in density between the solid and the liquid. If such a suspension is subjected to vibration there is relative motion between the particles and the fluid which can lead to self-organization and pattern formation. Here we describe experiments carried out to investigate the behavior of two identical spheres suspended magnetically in a fluid, mimicking weightless conditions. Under vibration the spheres mutually attract and, for sufficiently large vibration amplitudes, the spheres are observed to spontaneously orbit each other. The collapse of the experimental data onto a single curve indicates that the instability occurs at a critical value of the streaming Reynolds number. Simulations repro- duce the observed behaviour qualitatively and quantitatively, and are used to identify the features of the flow that are responsible for this instability.

Journal Article Type Article
Publication Date Apr 11, 2013
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 110
Issue 15
Article Number 154501
Institution Citation Pacheco Martinez, H., Liao, L., Hill, R., Swift, M. R., & Bowley, R. (2013). Spontaneous orbiting of two spheres levitated in a vibrated liquid. Physical Review Letters, 110(15), doi:10.1103/PhysRevLett.110.154501
DOI https://doi.org/10.1103/PhysRevLett.110.154501
Publisher URL https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.110.154501
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information Spontaneous Orbiting of Two Spheres Levitated in a Vibrated Liquid, H.A. Pacheco-Martinez, L. Liao, R.J.A. Hill, Michael R. Swift, and R.M. Bowley, Phys.Rev.Lett.110, 154501.

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