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Related Experiment Videos

Capturing patterns and symmetries in chaotic granular flow.

Steven W Meier1, Stephen E Cisar, Richard M Lueptow

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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 10, 2006
PubMed
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Granular materials in tumblers exhibit segregation patterns that mirror flow dynamics. This study links particle behavior to chaotic flow regions using experimental and analytical methods.

Area of Science:

  • Physics
  • Fluid Dynamics
  • Materials Science

Background:

  • Segregation in granular flows is complex and influenced by particle properties.
  • Continuum models predict flow symmetries but lack particle-specific information.
  • Understanding granular segregation in periodic flows is crucial for industrial applications.

Purpose of the Study:

  • To experimentally investigate segregation patterns in bidisperse granular materials within quasi-two-dimensional tumblers.
  • To connect observed segregation patterns with the underlying flow dynamics and chaotic behavior.
  • To validate and extend theoretical models of granular segregation.

Main Methods:

  • Utilizing quasi-two-dimensional tumblers with square and pentagonal cross-sections.
  • Experimentally varying small particle concentration in bidisperse mixtures.

Related Experiment Videos

  • Coupling experimental observations with analysis of periodic points, eigenvectors, and unstable manifolds.

    • Main Results:

    • Observed segregation patterns in granular flows exhibit symmetries related to Poincaré sections.
    • Demonstrated a direct link between chaotic flow regions and the formation of segregated particle lobes.
    • Unstable manifolds accurately map the geometric shape of segregated particle lobes.

    Conclusions:

    • The study establishes a clear connection between granular segregation patterns and the underlying flow dynamics.
    • The developed techniques are applicable to various tumbler geometries and time-periodic forcing.
    • This research provides insights into controlling granular segregation through flow manipulation.