Investigations on the Charge Motion and Breakage Effect of the Magnetic Liner Mill Using DEM

  • Genzhuang Li
  • Reem Roufail
  • Bern Klein
  • Lusheng Zhou
  • Amit Kumar
  • Chunbao SunEmail author
  • Jue Kou
  • Lei Yu


Magnetic liners can improve the performance of ball mills by increasing grinding efficiency, extending service life, and reducing maintenance costs. Despite their importance, the fundamental understanding and the quantitative investigation on the effects of the magnetic liners has not been addressed in the literature. This paper addresses this gap by studying charge motion, and how the use of a magnetic liner affects the breakage mechanism of the mill, using discrete element method (DEM) modeling and the Hertz-Mindlin contact model with relative velocity dependent (RVD) rolling friction. Charge motion was modeled under different mill speeds. Compared to conventional steel and rubber liners, the charge motion in the magnetic liner mill was predominantly cascading. Quantitative analysis of the energy dissipation within the mill was conducted to investigate mill breakage. Regardless of speed, over 50% of the total energy dissipation in the magnetic liner mill was in the form of abrasion and attrition. The results highlighted the appeal of magnetic liners in secondary and regrinding application, where abrasion and attrition are considered more efficient in the fine material breakage, and where impact is ideally minimized to reduce mill wear. A number of experiments were conducted to assess the effect of different model parameters on the performance of the magnetic liner mill. The highest abrasion/attrition intensity was observed with high values of the model parameters namely the restitution coefficient, static friction coefficient, and rolling friction coefficient.


Magnetic liner Discrete element method Ball mill Charge motion Abrasion Attrition 


Funding Information

This study is financially supported by the HMR Technology Canada and the Mitacs Accelerate Program. Support is also from the China Scholarship Council (No. 201606460030), which enabled the authors to carry out this research at the University of British Columbia, in Vancouver, BC, Canada.

Compliance with Ethical Standards

Conflict of Interest

The authors declare that they have no conflict of interest.


  1. 1.
    Andersson, S.E., 1975. Wear resistant lining for grinding Mills. WebGoogle Scholar
  2. 2.
    Bian X, Wang G, Wang H, Wang S, Lv W (2017) Effect of lifters and mill speed on particle behaviour, torque, and power consumption of a tumbling ball mill: experimental study and DEM simulation. Miner Eng 105:22–35CrossRefGoogle Scholar
  3. 3.
    Brandt W, Lapicki G (1981) Energy-loss effect in inner-shell coulomb ionization by heavy charged particles. Phys Rev A 23:1717–1729CrossRefGoogle Scholar
  4. 4.
    Bratislava, S.U.O.T.I., 2008. Material Contact Properties TableGoogle Scholar
  5. 5.
    Cleary P (1998) Predicting charge motion, power draw, segregation, wear and particle breakage in ball mills using discrete element method, TASK. Quat Sci Bull 2:385–416Google Scholar
  6. 6.
    Cleary P, Sinnott M, Morrison R (2008) DEM prediction of particle flows in grinding processes. Int J Numer Methods Fluids 58:319–353CrossRefGoogle Scholar
  7. 7.
    Cleary PW (2001a) Charge behaviour and power consumption in ball mills: sensitivity to mill operating conditions, liner geometry and charge composition. Int J Miner Process 63:79–114CrossRefGoogle Scholar
  8. 8.
    Cleary PW (2001b) Recent advances in DEM modelling of tumbling mills. Miner Eng 14:1295–1319CrossRefGoogle Scholar
  9. 9.
    Cleary PW, Morrison RD (2016) Comminution mechanisms, particle shape evolution and collision energy partitioning in tumbling mills. Miner Eng 86:75–95CrossRefGoogle Scholar
  10. 10.
    Cundall PA, Strack OD (1979) A discrete numerical model for granular assemblies. geotechnique 29:47–65CrossRefGoogle Scholar
  11. 11.
    Danha G (2014) Identifying opportunities for increasing the milling efficiency of a bushveld igneous complex (BIC) upper group (UG) 2 oreGoogle Scholar
  12. 12.
    Datta A, Rajamani RK (2002) A direct approach of modeling batch grinding in ball mills using population balance principles and impact energy distribution. Int J Miner Process 64:181–200CrossRefGoogle Scholar
  13. 13.
    Ellsworth Aea (2007) Application of metal magnetic liners in the us Iron industry, pp 1–5Google Scholar
  14. 14.
    Govender N, Rajamani RK, Kok S, Wilke DN (2015) Discrete element simulation of mill charge in 3D using the BLAZE-DEM GPU framework. Miner Eng 79:152–168CrossRefGoogle Scholar
  15. 15.
    Herbst JA (2004) A microscale look at tumbling mill scale-up using high fidelity simulation. Int J Miner Process 74:S299–S306CrossRefGoogle Scholar
  16. 16.
    Hertz H (1882) Ueber die Verdunstung der Flüssigkeiten, insbesondere des Quecksilbers, im luftleeren Raume. Ann Phys 253:177–193CrossRefGoogle Scholar
  17. 17.
    Kalala J, Bwalya M, Moys M (2005) Discrete element method (DEM) modelling of evolving mill liner profiles due to wear. Part II. Industrial case study. Miner Eng 18:1392–1397CrossRefGoogle Scholar
  18. 18.
    Kruggel-Emden H, Wirtz S, Scherer V (2008) A study on tangential force laws applicable to the discrete element method (DEM) for materials with viscoelastic or plastic behavior. Chem Eng Sci 63:1523–1541CrossRefGoogle Scholar
  19. 19.
    Lippert, D., Spektor, J., 2012. Plant EngineeringGoogle Scholar
  20. 20.
    Makokha AB, Moys MH (2006) Towards optimising ball-milling capacity: effect of lifter design. Miner Eng 19:1439–1445CrossRefGoogle Scholar
  21. 21.
    Makokha AB, Moys MH, Bwalya MM, Kimera K (2007) A new approach to optimising the life and performance of worn liners in ball mills: experimental study and DEM simulation. Int J Miner Process 84:221–227CrossRefGoogle Scholar
  22. 22.
    Mindlin R (1949) Compliance of elastic bodies in contact. J Appl Mech Trans ASME 16:259–268MathSciNetzbMATHGoogle Scholar
  23. 23.
    Mindlin RD (1953) Elastic spheres in contact under varying oblique forces. J Applied Mech 20:327–344MathSciNetzbMATHGoogle Scholar
  24. 24.
    Mishra B (2003a) A review of computer simulation of tumbling mills by the discrete element method: part I—contact mechanics. Int J Miner Process 71:73–93CrossRefGoogle Scholar
  25. 25.
    Mishra B (2003b) A review of computer simulation of tumbling mills by the discrete element method: part II—practical applications. Int J Miner Process 71:95–112CrossRefGoogle Scholar
  26. 26.
    Mishra B, Rajamani RK (1992) The discrete element method for the simulation of ball mills. Appl Math Model 16:598–604CrossRefGoogle Scholar
  27. 27.
    Mishra B, Rajamani RK (1994) Simulation of charge motion in ball mills. Part 1: experimental verifications. Int J Miner Process 40:171–186CrossRefGoogle Scholar
  28. 28.
    Mishra, B., Thornton, C., 2002. An improved contact model for ball mill simulation by the discrete element methodCrossRefGoogle Scholar
  29. 29.
    Mishra BK (2003c) A review of computer simulation of tumbling mills by the discrete element method. Int J Miner Process 71:95–112CrossRefGoogle Scholar
  30. 30.
    Mishra BK (2003d) A review of computer simulation of tumbling mills by the discrete element method: part I—contact mechanics. Int J Miner Process 71:73–93CrossRefGoogle Scholar
  31. 31.
    Morrison RD, Cleary PW, Sinnott MD (2009) Using DEM to compare the energy efficiency of pilot scale ball and tower mills. Miner Eng 22:665–672CrossRefGoogle Scholar
  32. 32.
    Nave CR (2000a) K.E. Lost in Inelastic CollisionGoogle Scholar
  33. 33.
    Nave CR (2000b) Work, energy and frictionGoogle Scholar
  34. 34.
    Powell M, Bye A (2009) Beyond mine-to-mill: circuit design for energy efficient resource utilisation, tenth mill operators conference 2009, proceedings. AusIMM, Carlton, pp 357–364Google Scholar
  35. 35.
    Powell M, Govender I, McBride A (2008) Applying DEM outputs to the unified comminution model. Miner Eng 21:744–750CrossRefGoogle Scholar
  36. 36.
    Powell M, Smit I, Radziszewski P, Cleary P, Rattray B, Eriksson K, Schaeffer L (2006) The selection and design of mill liners. Adv Comminution 43:331–376Google Scholar
  37. 37.
    Powell M, Weerasekara N, Cole S, LaRoche R, Favier J (2011a) DEM modelling of liner evolution and its influence on grinding rate in ball mills. Miner Eng 24:341–351CrossRefGoogle Scholar
  38. 38.
    Powell MS, Weerasekara NS, Cole S, LaRoche RD, Favier J (2011b) DEM modelling of liner evolution and its influence on grinding rate in ball mills. Miner Eng 24:341–351CrossRefGoogle Scholar
  39. 39.
    Rose HE, Sullivan RME (1958) A treatise on the internal mechanics of ball, tube, and rod mills. ConstableGoogle Scholar
  40. 40.
    Roufail R (2017) Study the effect of magnetic liner on ball milling efficiency utilizing DEM modeling. Department of Mining Engineering, University of British ColumbiaGoogle Scholar
  41. 41.
    Sinnott M, Cleary PW, Morrison R (2006) Analysis of stirred mill performance using DEM simulation: part 1–media motion, energy consumption and collisional environment. Miner Eng 19:1537–1550CrossRefGoogle Scholar
  42. 42.
    Solutions D (2017) EDEM 2.3 User Guide. Edinburgh, Scotland, UKGoogle Scholar
  43. 43.
    Su X, Zhou L, Duan Q (2006) Review of application Technology of Hanma Brand Metal Magnetic Lining (in Chinese). Met Mine:331–334Google Scholar
  44. 44.
    Tavares LM, de Carvalho RM (2009) Modeling breakage rates of coarse particles in ball mills. Miner Eng 22:650–659CrossRefGoogle Scholar
  45. 45.
    Van Nierop M, Glover G, Hinde A, Moys M (2001) A discrete element method investigation of the charge motion and power draw of an experimental two-dimensional mill. Int J Miner Process 61:77–92CrossRefGoogle Scholar
  46. 46.
    Venugopal R, Rajamani R (2001) 3D simulation of charge motion in tumbling mills by the discrete element method. Powder Technol 115:157–166CrossRefGoogle Scholar
  47. 47.
    Wang MH, Yang RY, Yu AB (2012) DEM investigation of energy distribution and particle breakage in tumbling ball mills. Powder Technol 223:83–91CrossRefGoogle Scholar
  48. 48.
    Wills BA, Finch J (2015) Wills’ mineral processing technology: an introduction to the practical aspects of ore treatment and mineral recovery. Butterworth-Heinemann, OxfordGoogle Scholar
  49. 49.
    Zhou L, Duan Q, Zhao Y (2004) Summary of practice of ten YEARS’ SERVICE life of metal magnetic lining on a φ3. 2m× 4.5 m Ball Mill (in Chinese. In: Metal Mine, pp 28–34Google Scholar
  50. 50.
    Zhou Y, Wright B, Yang R, Xu BH, Yu A-B (1999) Rolling friction in the dynamic simulation of sandpile formation. Physica A: Statistical Mechanics and its Applications 269:536–553CrossRefGoogle Scholar
  51. 51.
    Zou J, Zhao M, Zhang M (2014) Mathematical Modelling of Attraction Forces of Metal Magnetic Liners in Ball Mills. The 27th International Mineral Processing Congress. Santiago, Chile, Oct 20–24, 2014Google Scholar

Copyright information

© Society for Mining, Metallurgy & Exploration Inc. 2019

Authors and Affiliations

  • Genzhuang Li
    • 1
    • 2
  • Reem Roufail
    • 2
  • Bern Klein
    • 2
  • Lusheng Zhou
    • 3
  • Amit Kumar
    • 2
  • Chunbao Sun
    • 1
    Email author
  • Jue Kou
    • 1
  • Lei Yu
    • 4
  1. 1.School of Civil and Resources EngineeringUniversity of Science and Technology BeijingBeijingPeople’s Republic of China
  2. 2.Norman B. Keevil Institute of Mining EngineeringUniversity of British ColumbiaVancouverCanada
  3. 3.HMR Technology Canada LtdVancouverCanada
  4. 4.Shandong University of Science and TechnologyTai’anPeople’s Republic of China

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