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Modeling of Linear Die Filling Based on Dimensional Analysis Using DEM-CFD Methods
Jie Li1,2, Sunsheng Zhou1,2, Shiyan Yan1,2
1Institute of Manufacturing Engineering, Huaqiao University, Xiamen 361021, China.
Materials (Basel, Switzerland)
|July 30, 2025
Summary
This study introduces a new model for powder die filling, using dimensional analysis and simulations. The model helps predict filling ratios and optimize die design based on material properties and operational parameters.
Area of Science:
- Powder Technology
- Materials Science
- Mechanical Engineering
Background:
- Linear die filling is a crucial industrial process.
- Existing models lack comprehensiveness and systematic description of powder flow.
Purpose of the Study:
- To develop a systematic model for powder die filling.
- To analyze factors influencing powder flow characteristics using dimensional analysis.
Main Methods:
- Utilized Discrete Element Method (DEM) and Computational Fluid Dynamics (CFD) simulations.
- Applied dimensional analysis and the Pi theorem to derive dimensionless parameters.
- Developed a semi-empirical model for linear die filling.
Main Results:
- Identified key dimensionless parameters: particle size to die depth ratio, solid density number, shoe speed number, and force number.
- Filling ratio increases with particle size to die depth ratio and solid density number.
- Filling ratio decreases with increasing shoe speed number due to reduced filling time.
Conclusions:
- A novel semi-empirical model for linear die filling was established.
- The model enables computation of minimum shoe speed and die size design.
- Provides a method for optimizing die filling based on material properties.
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