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Related Experiment Videos

Model for dense granular flows down bumpy inclines.

Michel Y Louge1

  • 1Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853, USA. Michel.Louge@cornell.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 26, 2005
PubMed
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This study models dense granular flows on inclined planes with bumps, revealing three distinct flow regions. The theory accurately predicts flow behavior, including flow rate and height, based on physical parameters.

Area of Science:

  • Physics of granular materials
  • Fluid dynamics
  • Non-Newtonian flows

Background:

  • Dense granular flows on inclined planes are common in nature and industry.
  • Understanding the complex interactions within these flows is crucial for predicting their behavior.

Purpose of the Study:

  • To develop a theoretical model for dense granular flows down an inclined plane with surface bumps.
  • To analyze the distinct flow regions and their characteristics.
  • To capture key flow properties like flow rate and height dependence on physical parameters.

Main Methods:

  • Theoretical modeling of stresses as a superposition of rate-dependent (collisional) and rate-independent (frictional) contributions.
  • Analysis of flow structure into basal, core, and collisional surface layers.

Related Experiment Videos

  • Derivation of simple closures for governing equations informed by numerical simulations and physical experiments.

    • Main Results:

    • Identified three distinct flow regions: basal, core, and collisional surface layer.
    • Distinguished basal flows where core and surface layers are absent.
    • The theory successfully predicts steady flow conditions, velocity profiles, flow rate, and basal flow height based on inclination, flow height, friction, and restitution coefficient.

    Conclusions:

    • The proposed theory provides a robust framework for understanding dense granular flows on inclined planes with surface topography.
    • The model accurately captures the interplay between collisional and frictional forces in granular media.
    • The findings have implications for predicting and controlling granular material transport and behavior.