Effect of air on granular size separation in a vibrated granular bed

Matthias E. Möbius, Xiang Cheng, Peter Eshuis, Greg S. Karczmar, Sidney R. Nagel, and Heinrich M. Jaeger
Phys. Rev. E 72, 011304 – Published 22 July 2005

Abstract

Using high-speed video and magnetic resonance imaging (MRI) we study the motion of a large sphere in a vertically vibrated bed of smaller grains. As previously reported we find a nonmonotonic density dependence of the rise and sink time of the large sphere. We show that air drag causes relative motion between the intruder and the bed during the shaking cycle and is ultimately responsible for the observed density dependence of the risetime. We investigate in detail how the motion of the intruder sphere is influenced by size of the background particles, initial vertical position in the bed, ambient pressure, and convection. We explain our results in the framework of a simple model and find quantitative agreement in key aspects with numerical simulations to the model equations.

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  • Received 25 February 2005

DOI:https://doi.org/10.1103/PhysRevE.72.011304

©2005 American Physical Society

Authors & Affiliations

Matthias E. Möbius1, Xiang Cheng1, Peter Eshuis1,*, Greg S. Karczmar2, Sidney R. Nagel1, and Heinrich M. Jaeger1

  • 1The James Franck Institute and Department of Physics, The University of Chicago, Chicago, Illinois 60637, USA
  • 2Department of Radiology, The University of Chicago, Chicago, Illinois 60637, USA

  • *Permanent address: Physics of Fluids, Physics of Fluids Group, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands.

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Vol. 72, Iss. 1 — July 2005

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