Comparative analysis of grinding kinetics of mixtures in ball and stirred mills using population balance modeling
Powder Technology, cilt.482, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 482
- Basım Tarihi: 2026
- Doi Numarası: 10.1016/j.powtec.2026.122719
- Dergi Adı: Powder Technology
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Chemical Abstracts Core, Chimica, Compendex, EMBASE, INSPEC, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO)
- Anahtar Kelimeler: Ball mill, Material interaction, Multi-component grinding, Population balance model (PBM), Specific breakage rate, Stirred media mill
- Hacettepe Üniversitesi Adresli: Evet
Özet
Multi-component grinding systems commonly exhibit interaction effects that are not adequately captured by conventional single-component kinetic models. Understanding these interactions under different milling mechanisms remains essential for accurate process modeling and optimization. This study investigates the grinding behavior of calcite, clinker, and magnetite—both individually and in binary mixtures with calcite—using two fundamentally different milling mechanisms: impact-dominant ball milling and attrition-dominant stirred media milling. A series of controlled batch grinding experiments were conducted using identical feed mass and operating conditions for each material system. Binary mixtures were prepared at a fixed 50:50 mass ratio, ensuring consistent comparison between single and mixed component behaviors under both milling environments. Particle size distributions were experimentally determined at predefined grinding times, and the resulting data were fitted using the Population Balance Model (PBM). The study combines experimental measurements with the PBM to enable a direct comparison of multi-component particle breakage under contrasting stress conditions, providing an integrated framework for analysis. The novelty of the study lies in demonstrating the capability of PBM to consistently predict the interaction-dependent grinding behavior of multi-mineral systems under impact- and attrition-dominant environments. PBM accurately reproduced particle size distributions with residual errors below 2%, demonstrating its reliability for multi-mineral systems. In terms of grindability, calcite exhibited the highest breakage rate, followed by clinker and magnetite in both milling systems. Binary mixtures displayed intermediate behavior, reflecting clear interaction effects on breakage kinetics. Despite the differences in stress mechanisms between ball and stirred milling, consistent trends were observed across all materials, indicating that intrinsic material properties play a dominant role in governing breakage behavior. These results provide mechanistic insights for refining comminution models and optimizing grinding processes in mineral and cement industries.