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Clustering and flow around a sphere moving into a grain cloud.

A Seguin1,2, A Lefebvre-Lepot3, S Faure4

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Area of Science:

  • Physics
  • Granular Mechanics
  • Computational Physics

Background:

  • Understanding granular flow dynamics is crucial in various scientific and engineering fields.
  • Simulating dense granular media presents computational challenges due to complex particle interactions.

Purpose of the Study:

  • To investigate the dynamics of a sphere moving through a granular medium.
  • To analyze the formation and properties of the granular cluster around the sphere.
  • To explore the rheological behavior of granular flow under specific conditions.

Main Methods:

  • Utilized a bidimensional simulation approach.
  • Employed a non-smooth contact dynamics method for particle interactions.
  • Analyzed local strain rate and stress fields within the granular flow.

Main Results:

  • A dense granular cluster forms around the moving sphere, reaching a stationary state.
  • The cluster size increases with initial solid fraction, while packing fraction remains constant.
  • Drag force is independent of cluster size, even when it diverges.
  • Local friction coefficient depends on inertial number and solid fraction, indicating local rheology.

Conclusions:

  • A local rheology exists in non-parallel granular flow, characterized by friction coefficient, inertial number, and solid fraction.
  • The spatial variations of the inertial number within the cluster are independent of sphere velocity.