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A continuum model for the segregation of bidisperse particles in a blade mixer
Authors:Liuyimei Yang  Qijun Zheng  Aibing Yu
Affiliation:1. Department of Chemical Engineering, ARC Research Hub for Computational Particle Technology, Monash University, Clayton, Victoria, Australia

Ganjiang Innovation Academy, Chinese Academy of Sciences, Ganzhou, China

Contribution: Data curation (equal), Formal analysis (equal), ​Investigation (equal), Methodology (equal), Software (equal), Validation (equal), Visualization (equal), Writing - original draft (equal);2. Department of Chemical Engineering, ARC Research Hub for Computational Particle Technology, Monash University, Clayton, Victoria, Australia;3. Department of Chemical Engineering, ARC Research Hub for Computational Particle Technology, Monash University, Clayton, Victoria, Australia

Centre for Simulation and Modelling of Particulate Systems, Monash-Southeast University Joint Research Institute, Suzhou, China

Contribution: Resources (equal), Supervision (equal), Writing - review & editing (equal)

Abstract:The process of blending powders using stirring blades involves complicated granular flows, particle-scale mechanisms, and blade–particle interactions, which is challenging to predict and control. This article proposes a continuum-based model for such a process by incorporating the flow rheology, isotropic particle diffusion and the percolation of granular materials. A method combining finite element method (FEM), finite difference method (FDM), and immersed boundary method (IBM) is developed to numerically implement the continuum model and applied to a cylindrical blade mixer. The model well describes the tempo-spatial distribution of small/large particles in the stirring process, such as the accumulation of small particles in the vicinity of blades. Remarkably, this model can capture the various intricate effects of blade parameters, including the blade rake angle, rotating speeds, filling level, and the friction coefficient of the mixer wall. It is therefore promising for optimizing the blade mixers in industries.
Keywords:blade mixers  continuum modeling  finite element method  granular mixing  granular segregation
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