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Related Experiment Videos

Two-dimensional granular flow in a vibrated small-angle funnel

Lindemann1, Dimon

  • 1The Center for Chaos and Turbulence Studies, The Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
Summary

Vibrating a single layer of balls in a funnel reveals jamming dynamics. Flow rate and jam behavior depend on vibration strength and funnel angle, creating distinct flow regimes.

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Area of Science:

  • Physics of granular materials
  • Nonlinear dynamics
  • Statistical mechanics

Background:

  • Granular flow is complex, influenced by particle interactions and external forces.
  • Jamming phenomena in granular systems are critical for understanding flow disruptions.

Purpose of the Study:

  • To investigate the flow rate and jamming dynamics of uniform balls in a vibrated small-angle funnel.
  • To map the phase diagram of flow regimes based on vibration and funnel angle.

Main Methods:

  • Measurement of flow rate as a function of dimensionless acceleration (Gamma).
  • Analysis of time intervals between balls and their correlations to study jam dynamics.
  • Systematic variation of funnel angle (beta) and acceleration (Gamma).

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Main Results:

  • Stable jams form for Gamma < 1 and beta > 4 degrees, halting flow.
  • Intermittent jamming (breaking and reforming) occurs for Gamma approximately 1-4, showing long-time correlations.
  • Flow becomes unjammed and constant beyond Gamma approximately 4 degrees.

Conclusions:

  • The study establishes a phase diagram illustrating distinct flow regimes based on vibration and funnel geometry.
  • Granular flow in vibrated funnels exhibits complex dynamics, including stable and intermittent jamming.
  • Understanding these dynamics is crucial for controlling granular material transport.