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Rayleigh-Taylor instability in two-layer granular flows.

Umberto D'Ortona1, Denis Martinand1, Nathalie Thomas2

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Summary

This study reveals how granular materials with different densities exhibit Rayleigh-Taylor-like instability, forming organized bands and rolls. Particle size segregation and sedimentation influence mixing dynamics at the interface.

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Area of Science:

  • Physics
  • Geophysics
  • Materials Science

Background:

  • Granular materials exhibit complex behaviors under gravitational forces.
  • Rayleigh-Taylor instability (RTI) is a known phenomenon in fluid dynamics.
  • Understanding granular RTI is crucial for geophysical flows and industrial processes.

Purpose of the Study:

  • To investigate the Rayleigh-Taylor-like instability in two-layer granular systems.
  • To compare numerical simulations with experimental results.
  • To analyze the role of particle properties and flow dynamics in granular RTI.

Main Methods:

  • Numerical simulations using the discrete element method (DEM) with tilted gravity.
  • Experimental setup involving an inclined channel with a confinement gate.
  • Analysis of particle movement, plume formation, and band organization.

Main Results:

  • Rapid onset of granular RTI with plumes of light particles emerging at the surface.
  • Organization of plumes into alternated bands of dense and light particles due to flow and shear.
  • Dense particles segregate to the surface, sustaining longitudinal rolls.
  • Granular RTI exhibits characteristics similar to fluid RTI, including wavelength and growth rate dependencies.

Conclusions:

  • Granular RTI shares similarities with fluid RTI but is modified by sedimentation and size segregation.
  • Sedimentation promotes diffusion, while size segregation acts as an anti-diffusion process.
  • These competing processes control the mixing zone at the interface between granular layers.