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This study measures self-diffusion in dense granular flows, finding it depends on shear rate and particle friction. Results differ from kinetic theory predictions, highlighting the need for refined models in granular material science.

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Area of Science:

  • Physics of granular materials
  • Computational physics

Background:

  • Collisional shearing flows are crucial in granular materials.
  • High solid volume fractions are common in terrestrial flows.
  • Self-diffusion in these regimes is not well understood.

Purpose of the Study:

  • To measure self-diffusion coefficients in dense granular shearing flows.
  • To compare simulation results with existing empirical and theoretical models.
  • To investigate anisotropy and solid fraction dependence of diffusion.

Main Methods:

  • Discrete numerical simulations of frictional, inelastic spheres.
  • Focus on steady, homogeneous, collisional shearing flows.
  • Analysis of high solid volume fraction regimes.

Main Results:

  • Self-diffusion coefficients were measured.
  • Anisotropy and solid fraction dependence were observed.
  • Significant deviations from kinetic theory predictions were found.

Conclusions:

  • Existing empirical scaling requires refinement for anisotropy and solid fraction.
  • Kinetic theory for shearing flows needs improvement for dense granular systems.
  • Numerical simulations provide valuable data for understanding granular diffusion.