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Granular flow regimes in rotating drums from depth-integrated theory.

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Granular flows in rotating drums shift between straight and curved surface behaviors. A new depth-integrated theory, using local rheology, predicts these transitions and scaling laws based on rotation rate.

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Area of Science:

  • Physics
  • Engineering
  • Geophysics

Background:

  • Granular flows in rotating drums exhibit distinct regimes with straight or curved free surfaces.
  • Understanding these transitions is crucial for applications involving granular material transport and processing.

Purpose of the Study:

  • To develop and validate a predictive theory for granular flow transitions in rotating drums.
  • To establish scaling laws governing flow behavior across different rotation rates.

Main Methods:

  • A depth-integrated theory for general eroding flows was employed.
  • Local μ(I) rheology and a kinetic energy equation were used for closure.
  • The theory relates flow properties to a single dimensionless rotation rate.

Main Results:

  • The theory successfully predicts the transition between flow regimes.
  • Distinct scaling laws were derived for slow and fast rotation rates.
  • Experimental data align with the theoretical predictions.

Conclusions:

  • The developed theory provides a unified framework for analyzing granular flows in rotating drums.
  • Flow behavior is governed by energy dissipation at low rates and energy transfer at high rates.