Onset of convection in strongly shaken granular matter.

Peter Eshuis, Devaraj van der Meer, Meheboob Alam, Henk Jan van Gerner, Ko van der Weele, Detlef Lohse
Author Information
  1. Peter Eshuis: Physics of Fluids Group, Department of Science and Technology, J. M. Burgers Center, and Impact and Mesa+ Institutes, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands.

Abstract

Strongly vertically shaken granular matter can display a density inversion: A high-density cluster of beads is elevated by a dilute gaslike layer of fast beads underneath ("granular Leidenfrost effect"). For even stronger shaking the granular Leidenfrost state becomes unstable and granular convection rolls emerge. This transition resembles the classical onset of convection in fluid heated from below at some critical Rayleigh number. The same transition is seen in molecular dynamics (MD) simulations of the shaken granular material. The critical shaking strength for the onset of granular convection can be calculated from a linear stability analysis of a hydrodynamiclike model of the granular flow. Experiment, MD simulations, and theory quantitatively agree.

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