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Creeping motion in granular flow.

Benjamin A Socie1, Paul Umbanhowar, Richard M Lueptow

  • 1Department of Chemical and Biological Engineering, Northwestern University, Evanston, Illinois 60208, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 21, 2005
PubMed
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A rotating cylinder filled with glass beads shows a core that spins faster than the cylinder and shrinks over time. This granular motion is quantified by core precession and erosion, dependent on rotation rate and filling fraction.

Area of Science:

  • Granular physics
  • Fluid dynamics

Background:

  • Understanding granular flow is crucial in various industrial processes.
  • Quasi-two-dimensional rotating cylinders provide a simplified yet informative system for studying granular dynamics.

Purpose of the Study:

  • To investigate the dynamics of granular flow within a rotating cylinder.
  • To quantify the core precession and erosion phenomena.
  • To develop a simple model that captures the observed granular motion.

Main Methods:

  • Experimental setup involving a quasi-two-dimensional rotating cylinder filled with glass beads.
  • Observation and measurement of core rotation speed, radius change, precession, and erosion.
  • Development of a theoretical model based on experimental data.

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Main Results:

  • The granular core rotates faster than the cylinder and decreases in radius.
  • Core precession shows a linear dependence on tumbler revolutions.
  • Core erosion exhibits a logarithmic dependence on tumbler revolutions.
  • Granular motion is influenced by filling fraction and rotation rate.

Conclusions:

  • The study quantifies slow granular motion in a rotating cylinder.
  • A simple model successfully captures key features of core dynamics, including exponential velocity decrease.
  • Findings provide insights into granular material behavior under rotation.