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Paul B Umbanhowar1, Richard M Lueptow1,2, Julio M Ottino1,2

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Accurate continuum models now predict dense granular flow and segregation. This framework, validated by experiments and discrete element method simulations, enables parametric studies for industrial and natural settings.

Keywords:
constitutive relationscontinuum modelingparticle mixingparticle segregation

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Area of Science:

  • Physics
  • Engineering
  • Computational Science

Background:

  • Dense granular flows present complex behavior, including segregation, making accurate modeling challenging.
  • Previous research relied on discrete element methods (DEM) or simplified continuum models, limiting parametric studies.
  • Understanding granular flow dynamics is crucial for industrial processes and natural hazard assessment.

Purpose of the Study:

  • To develop and validate a continuum transport equation-based framework for predicting segregation in dense granular flows.
  • To enable comprehensive parametric studies of granular flow outcomes by leveraging continuum models.
  • To provide a validated theoretical approach applicable to both industrial and natural granular flow scenarios.

Main Methods:

  • Extensive comparisons between computer simulations (discrete element methods - DEM), experiments, and continuum models.
  • Development of a continuum framework using transport equations and phenomenological constitutive equations.
  • Three-way validation of the proposed model against experimental data and DEM simulations across various flow conditions and mixtures.

Main Results:

  • The developed continuum framework accurately predicts segregation in dense granular flows.
  • Discrete element method (DEM) simulations provide detailed insights into granular flow and segregation mechanisms.
  • The framework demonstrates robust predictive capabilities across diverse industrial and natural settings.

Conclusions:

  • Accurate continuum models for dense granular flow and segregation are now achievable.
  • The proposed framework offers a powerful tool for parametric studies, overcoming limitations of computational cost.
  • The validated approach has broad applicability and potential for straightforward extensions to more complex scenarios.