Air-induced inverse Chladni patterns

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Gerner van, Henk Jan and Weele van der, Ko and Hoef van der, Martin A. and Meer van der, Devaraj (2011) Air-induced inverse Chladni patterns. Journal of Fluid Mechanics, 689 . pp. 203-220. ISSN 0022-1120

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Abstract:When very light particles are sprinkled on a resonating horizontal plate, inverse Chladni patterns are formed. Instead of going to the nodal lines of the plate, where they would form a standard Chladni pattern, the particles are dragged to the antinodes by the air currents induced by the vibration of the plate. Here we present a detailed picture of the mechanism using numerical simulations involving both the particles and the air. Surprisingly, the time-averaged Eulerian velocity, commonly used in these type of problems, does not explain the motion of the particles: it even has the opposite direction, towards the nodal lines. The key to the inverse Chladni patterning is found in the averaged velocity of a tracer particle moving along with the air: this Lagrangian velocity, averaged over a vibration cycle, is directed toward the antinodes. The Chladni plate thus provides a unique example of a system in which the Eulerian and Lagrangian velocities point in opposite directions
Item Type:Article
Copyright:© 2011 Cambridge University Press
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Science and Technology (TNW)
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Link to this item:http://purl.utwente.nl/publications/79564
Official URL:http://dx.doi.org/10.1017/jfm.2011.411
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