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Instabilities in granular binary mixtures at moderate densities.

Peter P Mitrano1, Vicente Garzó2, Christine M Hrenya1

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Summary
This summary is machine-generated.

This study reveals critical length scales for instabilities in granular mixtures using advanced hydrodynamic equations. Findings show excellent agreement with simulations, validating the model for complex granular flows.

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Area of Science:

  • Physics
  • Granular Mechanics
  • Fluid Dynamics

Background:

  • Granular flows exhibit complex instabilities like vortices and clustering.
  • Previous models were limited to nearly elastic systems, neglecting nonlinear dependencies.

Purpose of the Study:

  • Determine critical length scales for instabilities in dense binary granular mixtures.
  • Extend hydrodynamic analysis to strongly inelastic systems.

Main Methods:

  • Linear stability analysis of Navier-Stokes (NS) granular hydrodynamic equations.
  • Solution of the inelastic Enskog equation to NS order.
  • Comparison with molecular dynamics (MD) simulations.

Main Results:

  • Identified critical length scales for vortex and cluster instabilities.
  • Accounted for nonlinear dependence of transport coefficients on restitution.
  • Achieved excellent agreement between theoretical predictions and MD simulations for strong dissipation.

Conclusions:

  • Navier-Stokes hydrodynamics is applicable to polydisperse granular flows.
  • The model accurately predicts instabilities even with strong inelasticity and particle dissimilarity.