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Jamming transition in two-dimensional hoppers and silos.

Kiwing To1

  • 1Institute of Physics, Academia Sinica, Nankang, Taipei, Taiwan 115, Republic of China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
Summary

Jamming in two-dimensional hoppers and silos was studied. The jamming probability depends on exit size, with a consistent decay rate across different geometries, impacting dense flow stability.

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Area of Science:

  • Physics
  • Materials Science
  • Engineering

Background:

  • Granular materials exhibit complex flow behaviors.
  • Hopper and silo designs influence material discharge and jamming.

Purpose of the Study:

  • To experimentally investigate jamming phenomena in 2D hoppers and silos.
  • To determine the relationship between jamming probability and exit size.
  • To analyze the average number of disks passing through before jamming.

Main Methods:

  • Experimental simulation of monodisperse metal disk flow.
  • Statistical analysis of jamming events using Markov chain modeling.
  • Measurement of disk count histograms before jamming.

Main Results:

  • Jamming probability J(d) is linked to disk count distribution F(n).
  • A consistent decay rate alpha was observed for hoppers and silos.
  • Average disk count N fits exponential or power-law functions of exit size d.

Conclusions:

  • The study provides a quantitative model for jamming in 2D granular flow.
  • Findings offer insights into the stability of dense granular flow.
  • The observed relationships are applicable to various hopper and silo geometries.

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