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Granular flow during hopper discharge.

J E Hilton1, P W Cleary

  • 1CSIRO Mathematics, Informatics and Statistics, Clayton South, VIC 3169, Australia.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 27, 2011
PubMed
Summary
This summary is machine-generated.

This study presents a new mathematical model for granular material flow from hoppers, derived from particle dynamics. It accurately predicts flow rates, including gas drag effects for fine particles, matching simulation results.

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Area of Science:

  • Physics
  • Engineering
  • Materials Science

Background:

  • Granular flow from hoppers is a fundamental yet complex problem.
  • Existing models often rely on empirical relationships and fitting parameters.
  • Understanding discharge rates is crucial for various industrial applications.

Purpose of the Study:

  • To develop a physics-based mathematical model for granular hopper discharge.
  • To derive flow rate expressions from fundamental granular dynamics.
  • To investigate the influence of gas drag on fine granular materials.

Main Methods:

  • Derivation of a mathematical model based on particle dynamics at the hopper outlet.
  • Extension of the model to include gas drag effects.
  • Validation using coupled discrete element and Navier-Stokes computational simulations.

Main Results:

  • The derived model yields a flow rate expression identical in form to empirical ones.
  • An experimentally determined constant in empirical models is shown to be geometry-dependent.
  • The model accurately predicts flow rates, especially with gas drag for small particles.
  • Simulations reveal complex gas flow dynamics previously unconsidered.

Conclusions:

  • A novel, non-empirical model for hopper discharge has been developed.
  • The model provides a deeper understanding of granular flow physics.
  • Gas drag significantly impacts fine granular material outflow, requiring advanced modeling.