Continuum modelling of segregating tridisperse granular chute flow

Area of Science:

• Physics
• Engineering
• Materials Science

Background:

• Segregation and mixing of granular materials with varying sizes pose significant challenges in industrial processes.
• Understanding these phenomena is crucial for optimizing material handling and process efficiency.

Purpose of the Study:

• To develop and validate a continuum-based model for predicting size segregation in tridisperse granular flow.
• To investigate the influence of various physical parameters on segregation patterns in quasi-two-dimensional chute flow.

Main Methods:

• Application of a continuum model incorporating segregation, diffusion, and advection.
• Validation of model predictions against discrete element method (DEM) simulations and experimental data.
• Parametric study involving particle size, Péclet number (Pe), relative segregation strength (κ), and characteristic length (L).

Main Results:

• Model predictions show strong agreement with DEM simulations across diverse flow conditions and particle sizes.
• The degree of segregation is found to be dependent on the Péclet number, relative segregation strength, and characteristic length.
• Segregation patterns are influenced by the interplay of advection, segregation, diffusion, velocity profiles, and basal slip.

Conclusions:

• The developed continuum model provides a robust framework for analyzing size segregation in granular flows.
• The model's applicability extends to various flow geometries and can be adapted for segregation driven by other particle properties like density and shape.