Inversion of Chladni patterns by tuning the vibrational acceleration

Henk Jan van Gerner, Martin A. van der Hoef, Devaraj van der Meer, and Ko van der Weele
Phys. Rev. E 82, 012301 – Published 22 July 2010
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Abstract

Inverse Chladni patterns, i.e., grains collecting at the antinodes of a resonating plate, are traditionally believed to occur only when the particles are small enough to be carried along by the ambient air. We now show—theoretically and numerically—that air currents are not the only mechanism leading to inverse patterns: When the acceleration of the resonating plate does not exceed g, particles will always roll to the antinodes, irrespective of their size, even in the absence of air. We also explain why this effect has hitherto escaped detection in standard Chladni experiments.

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  • Received 25 March 2010

DOI:https://doi.org/10.1103/PhysRevE.82.012301

©2010 American Physical Society

Authors & Affiliations

Henk Jan van Gerner1,*, Martin A. van der Hoef1, Devaraj van der Meer1, and Ko van der Weele2

  • 1Faculty of Science and Technology and J.M. Burgers Centre for Fluid Dynamics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
  • 2Department of Mathematics, University of Patras, 26500 Patras, Greece

  • *Present address: National Aerospace Laboratory, P.O. Box 153, 8300 AD Emmeloord, The Netherlands.

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Vol. 82, Iss. 1 — July 2010

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