A computational algorithm coupled with a particle selection routine for the simulation of the Bond locked-cycle test


MINERALS ENGINEERING, vol.176, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 176
  • Publication Date: 2022
  • Doi Number: 10.1016/j.mineng.2021.107345
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, CAB Abstracts, Chemical Abstracts Core, Communication Abstracts, Compendex, INSPEC, Metadex, Veterinary Science Database, Civil Engineering Abstracts
  • Keywords: Bond Test, Grinding, Work Index, Simulation, Random number generation, WORK INDEX DETERMINATIONS, SIZE DISTRIBUTION, ERROR ANALYSIS
  • Middle East Technical University Affiliated: Yes


The Bond's Equation is commonly used to predict the size-reduction energy in tumbling mills. The calculation of the Bond Equation requires the Bond Index, which is estimated through the results of the locked-cycle grinding tests. However, the tests are time-consuming, labor-intensive, and sensitive to errors. An algorithm is alternatively proposed to simulate the locked-cycle Bond tests by executing cycles of successive breakage events on nonrandomly selected particles. The algorithm can yield reproducible Bond work indices fast with negligible computational errors. The algorithm's applicability was validated against the experimental Bond tests on different ore samples. The results show that the algorithm can predict the grinding behavior of the mill hold-up at successive cycles. However, the simulated grindabilities are lower than the experimental ones, causing the algorithm to estimate slightly higher work indices as compared to the experimental indices. There is no sufficient data to conclude if such differences are because of (i) poor scaling of the breakage events, (ii) sampling/sieving errors, or (iii) varying grinding kinetics.