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Continuum theory of partially fluidized granular flows
Igor S Aranson1, Lev S Tsimring
1Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439, USA.
Summary
A new continuum theory models partially fluidized granular flows by linking flow equations with an order-parameter equation. This theory accurately predicts avalanche, rotating drum, and shear flow behaviors compared to experiments.
Area of Science:
- Physics
- Engineering
- Geophysics
Background:
- Granular flows are complex, exhibiting both fluid-like and solid-like behaviors.
- Understanding the transition between flowing and static granular material is crucial for predicting phenomena like avalanches.
Purpose of the Study:
- To develop a unified continuum theory for partially fluidized granular flows.
- To model and predict the behavior of granular materials in various flow configurations.
Main Methods:
- Developed a continuum theory combining flow velocity and shear stress equations.
- Incorporated an order-parameter equation to describe the transition between flowing and static granular phases.
- Applied the theory to analyze avalanche flow, rotating drums, and shear flows between plates.
Main Results:
- The developed theory successfully models partially fluidized granular flows.
- Quantitative comparisons show good agreement between theoretical predictions and experimental data for various granular flow scenarios.
Conclusions:
- The continuum theory provides a robust framework for understanding and predicting partially fluidized granular flows.
- This approach offers valuable insights into the mechanics of granular materials in diverse applications.