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Vortices in vibrated granular rods.

Daniel L Blair1, T Neicu, A Kudrolli

  • 1Department of Physics, Clark University, Worcester, Massachusetts 01610, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 12, 2003
PubMed
Summary

Vertically vibrated granular rods spontaneously form ordered domains that coarsen into vortices. This vortex motion, dependent on rod inclination and container vibration, is crucial for granular dynamics.

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Area of Science:

  • Granular physics
  • Soft matter physics
  • Nonlinear dynamics

Background:

  • Granular materials exhibit complex behaviors under external stimuli.
  • Understanding pattern formation in vibrated granular systems is key to controlling their macroscopic properties.

Purpose of the Study:

  • To experimentally observe and characterize vortex patterns in vertically vibrated granular rods.
  • To investigate the conditions influencing vortex formation and dynamics.
  • To elucidate the underlying mechanisms driving rod motion and pattern evolution.

Main Methods:

  • Experimental setup involving vertically vibrated granular rods.
  • Varying parameters: number of rods, vibration amplitude, and frequency.
  • Characterizing domain growth using area fraction over time.
  • Tracking rod ends to obtain velocity fields.
  • Performing experiments with horizontal vibration and annular confinement.

Main Results:

  • Spontaneous formation of ordered domains of vertical rods above a critical packing fraction.
  • Coarsening of vertical domains into large vortices.
  • Vortex size increases with the number of rods.
  • Rod rotation speed depends on vibration velocity and packing.
  • Vortices observed only with vertical vibration, not horizontal.

Conclusions:

  • Vortex formation is driven by the interaction of inclined rods with the container base during vertical vibration.
  • Rod motion is generated when rods are inclined from the vertical, moving in the direction of inclination.
  • The findings provide insights into self-organization and emergent dynamics in granular systems.

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