Building a model of the compression grinding mechanism in a tumbling mill based on data visualization

Authors

DOI:

https://doi.org/10.15587/1729-4061.2023.287565

Keywords:

tumbling mill, intra-chamber loading, compressive loading, destruction by crushing, grinding performance

Abstract

The object of the study reported here is the grinding process in a tumbling mill where the mechanism of destruction by crushing is implemented, which is caused by the mechanism of compression loading. The compressive interaction in the active zone of the lower end of the granular loading chamber of the rotating drum at the transition of the shear layer to the solid zone was taken into account.

The task to determine the parameters of the compressive action was solved, which was caused by the difficulties of modeling and the complexity of the hardware analysis of the behavior of the internal loading of the mill.

A mathematical model was built based on data visualization for the compression grinding mechanism.

The power of compressive forces was taken as an analog of grinding performance. The initial characteristic of compression was considered to be the mean speed of movement in the central averaged normal cross-section of the shear layer. The influence on the performance of the mass fraction of the shear layer and the reversibility of loading was taken into account.

The effect of rotation speed on productivity was evaluated by experimental modeling at a chamber filling degree of 0.45 and a relative size of grinding bodies of 0.0104. The maximum value of energy and grinding productivity was established at a relative speed of rotation ψω=0.6–0.65. The maximum value of the share of the shear layer loading was found at ψω=0.4–0.45.

The results have made it possible to establish a rational speed during crushing by compression, ψω=0.55–0.65. This value was smaller in comparison with impact crushing, ψω=0.75–0.9. The observed effect is explained by the detected activation for the shear loading layer during slow rotation, in contrast to the fast rotation for the drop zone.

The model built makes it possible to predict rational technological parameters of the process of medium and fine grinding in a tumbling mill by compression.

Author Biographies

Yuriy Naumenko, National University of Water and Environmental Engineering

Doctor of Technical Sciences, Associate Professor

Department of Construction, Road and Reclamation Machines

Kateryna Deineka, National University of Water and Environmental Engineering

PhD, Teacher of the Highest Category

Rivne Technical Vocational College

References

  1. Deniz, V. (2013). Comparisons of Dry Grinding Kinetics of Lignite, Bituminous Coal, and Petroleum Coke. Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 35 (10), 913–920. doi: https://doi.org/10.1080/15567036.2010.514591
  2. Gupta, V. K. (2020). Energy absorption and specific breakage rate of particles under different operating conditions in dry ball milling. Powder Technology, 361, 827–835. doi: https://doi.org/10.1016/j.powtec.2019.11.033
  3. Góralczyk, M., Krot, P., Zimroz, R., Ogonowski, S. (2020). Increasing Energy Efficiency and Productivity of the Comminution Process in Tumbling Mills by Indirect Measurements of Internal Dynamics – An Overview. Energies, 13 (24), 6735. doi: https://doi.org/10.3390/en13246735
  4. Golpayegani, M. H., Rezai, B. (2022). Modelling the power draw of tumbling mills: A comprehensive review. Physicochemical Problems of Mineral Processing, 58 (4). doi: https://doi.org/10.37190/ppmp/151600
  5. Govender, I., Powell, M. S. (2006). An empirical power model derived from 3D particle tracking experiments. Minerals Engineering, 19 (10), 1005–1012. doi: https://doi.org/10.1016/j.mineng.2006.03.017
  6. Bbosa, L. S., Govender, I., Mainza, A. N., Powell, M. S. (2011). Power draw estimations in experimental tumbling mills using PEPT. Minerals Engineering, 24 (3-4), 319–324. doi: https://doi.org/10.1016/j.mineng.2010.10.005
  7. Bbosa, L. S., Govender, I., Mainza, A. (2016). Development of a novel methodology to determine mill power draw. International Journal of Mineral Processing, 149, 94–103. doi: https://doi.org/10.1016/j.minpro.2016.02.009
  8. Tohry, A., Chehreh Chelgani, S., Matin, S. S., Noormohammadi, M. (2020). Power-draw prediction by random forest based on operating parameters for an industrial ball mill. Advanced Powder Technology, 31 (3), 967–972. doi: https://doi.org/10.1016/j.apt.2019.12.012
  9. Tavares, L. M. (2017). A Review of Advanced Ball Mill Modelling. KONA Powder and Particle Journal, 34, 106–124. doi: https://doi.org/10.14356/kona.2017015
  10. Kelly, E. G., Spottiswood, D. J. (1982). Introduction to mineral processing. Wiley, 491.
  11. Gupta, A., Yan, D. (2016). Mineral processing design and operations: An introduction. Elsevier. doi: https://doi.org/10.1016/c2014-0-01236-1
  12. Wills, B. A., Finch, J. (2015). Wills’ mineral processing technology: an introduction to the practical aspects of ore treatment and mineral recovery. Butterworth-Heinemann. doi: https://doi.org/10.1016/c2010-0-65478-2
  13. King, R. P. (2001). Modeling and simulation of mineral processing systems. Butterworth-Heinemann. doi: https://doi.org/10.1016/c2009-0-26303-3
  14. Chieregati, A. C., Delboni Júnior, H. (2001). Novo método de caracterização tecnológica para cominuição de minérios. São Paulo: EPUSP.
  15. Malyarov, P., Dolgov, O., Kovalev, P. (2020). Mineral raw material disintegration mechanisms in ball mills and distribution of grinding energy between sequential stages. Mining of Mineral Deposits, 14 (2), 25–33. doi: https://doi.org/10.33271/mining14.02.025
  16. Azooz, K. (2021). Improving productivity based on the movement of materials inside a grinding cement mill. Kufa Journal of Engineering, 10 (4), 1–15. doi: https://doi.org/10.30572/2018/kje/100401
  17. Boemer, D., Ponthot, J.-P. (2016). DEM modeling of ball mills with experimental validation: influence of contact parameters on charge motion and power draw. Computational Particle Mechanics, 4 (1), 53–67. doi: https://doi.org/10.1007/s40571-016-0125-4
  18. Naumenko, Y., Deineka, K. (2023). Building a model of the impact grinding mechanism in a tumbling mill based on data visualization. Eastern-European Journal of Enterprise Technologies, 3 (7 (123)), 65–73. doi: https://doi.org/10.15587/1729-4061.2023.283073
  19. Napier-Munn, T. J., Morrell, S., Morrison, R. D., Kojovic, T. (1996). Mineral comminution circuits: Their operation and optimisation. Vol. 2. Julius Kruttschnitt Mineral Research Centre, University of Queensland, 413.
  20. Powell, M. S., McBride, A. T. (2004). A three-dimensional analysis of media motion and grinding regions in mills. Minerals Engineering, 17 (11-12), 1099–1109. doi: https://doi.org/10.1016/j.mineng.2004.06.022
  21. Morrison, A. J., Govender, I., Mainza, A. N., Parker, D. J. (2016). The shape and behaviour of a granular bed in a rotating drum using Eulerian flow fields obtained from PEPT. Chemical Engineering Science, 152, 186–198. doi: https://doi.org/10.1016/j.ces.2016.06.022
  22. de Klerk, D. N., Govender, I., Mainza, A. N. (2019). Geometric features of tumbling mill flows: A positron emission particle tracking investigation. Chemical Engineering Science, 206, 41–49. doi: https://doi.org/10.1016/j.ces.2019.05.020
  23. Cleary, P. W. (2001). Recent advances in dem modelling of tumbling mills. Minerals Engineering, 14 (10), 1295–1319. doi: https://doi.org/10.1016/s0892-6875(01)00145-5
  24. Wang, M. H., Yang, R. Y., Yu, A. B. (2012). DEM investigation of energy distribution and particle breakage in tumbling ball mills. Powder Technology, 223, 83–91. doi: https://doi.org/10.1016/j.powtec.2011.07.024
  25. Govender, I., Richter, M. C., Mainza, A. N., De Klerk, D. N. (2016). A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills. AIChE Journal, 63 (3), 903–913. doi: https://doi.org/10.1002/aic.15453
  26. Yin, Z., Peng, Y., Li, T., Wu, G. (2018). DEM Investigation of Mill Speed and Lifter Face Angle on Charge Behavior in Ball Mills. IOP Conference Series: Materials Science and Engineering, 394, 032084. doi: https://doi.org/10.1088/1757-899x/394/3/032084
  27. Naumenko, Y. (2017). Modeling a flow pattern of the granular fill in the cross section of a rotating chamber. Eastern-European Journal of Enterprise Technologies, 5 (1 (89)), 59–69. doi: https://doi.org/10.15587/1729-4061.2017.110444
  28. Naumenko, Y. (2017). Modeling of fracture surface of the quasi solid-body zone of motion of the granular fill in a rotating chamber. Eastern-European Journal of Enterprise Technologies, 2 (1 (86)), 50–57. doi: https://doi.org/10.15587/1729-4061.2017.96447
  29. Naumenko, Y., Sivko, V. (2017). The rotating chamber granular fill shear layer flow simulation. Eastern-European Journal of Enterprise Technologies, 4 (7 (88)), 57–64. doi: https://doi.org/10.15587/1729-4061.2017.107242
  30. Deineka, K., Naumenko, Y. (2019). Revealing the effect of decreased energy intensity of grinding in a tumbling mill during self-excitation of auto-oscillations of the intrachamber fill. Eastern-European Journal of Enterprise Technologies, 1 (1), 6–15. doi: https://doi.org/10.15587/1729-4061.2019.155461
  31. Deineka, K., Naumenko, Y. (2019). Establishing the effect of a decrease in power intensity of self-oscillating grinding in a tumbling mill with a reduction in an intrachamber fill. Eastern-European Journal of Enterprise Technologies, 6 (7 (102)), 43–52. doi: https://doi.org/10.15587/1729-4061.2019.183291
  32. Deineka, K., Naumenko, Y. (2020). Establishing the effect of decreased power intensity of self-oscillatory grinding in a tumbling mill when the crushed material content in the intra-chamber fill is reduced. Eastern-European Journal of Enterprise Technologies, 4 (1 (106)), 39–48. doi: https://doi.org/10.15587/1729-4061.2020.209050
  33. Deineka, K., Naumenko, Y. (2021). Establishing the effect of a simultaneous reduction in the filling load inside a chamber and in the content of the crushed material on the energy intensity of self-oscillatory grinding in a tumbling mill. Eastern-European Journal of Enterprise Technologies, 1 (1 (109)), 77–87. doi: https://doi.org/10.15587/1729-4061.2021.224948
  34. Deineka, K., Naumenko, Y. (2022). Revealing the mechanism of stability loss of a two-fraction granular flow in a rotating drum. Eastern-European Journal of Enterprise Technologies, 4 (1 (118)), 34–46. doi: https://doi.org/10.15587/1729-4061.2022.263097
  35. Deineka, K. Yu., Naumenko, Yu. V. (2018). The tumbling mill rotation stability. Scientific Bulletin of National Mining University, 1, 60–68. doi: https://doi.org/10.29202/nvngu/2018-1/10
  36. Gupta, V. K., Sharma, S. (2014). Analysis of ball mill grinding operation using mill power specific kinetic parameters. Advanced Powder Technology, 25 (2), 625–634. doi: https://doi.org/10.1016/j.apt.2013.10.003
  37. Hanumanthappa, H., Vardhan, H., Mandela, G. R., Kaza, M., Sah, R., Shanmugam, B. K. (2020). A comparative study on a newly designed ball mill and the conventional ball mill performance with respect to the particle size distribution and recirculating load at the discharge end. Minerals Engineering, 145, 106091. doi: https://doi.org/10.1016/j.mineng.2019.106091
  38. ISO 924:1989. Coal preparation plant – Principles and conventions for flowsheets. Available at: https://www.iso.org/standard/5340.html
  39. Maschinen für die mechanische Aufbereitung von Mineralien und ähnlichen festen Stoffen - Sicherheit - Teil 3: Spezifische Anforderungen für Brecher und Mühlen; Deutsche Fassung EN 1009-3:2020. Available at: https://www.din.de/de/mitwirken/normenausschuesse/nam/veroeffentlichungen/wdc-beuth:din21:316006092
Building a model of the compression grinding mechanism in a tumbling mill based on data visualization

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Published

2023-10-31

How to Cite

Naumenko, Y., & Deineka, K. (2023). Building a model of the compression grinding mechanism in a tumbling mill based on data visualization. Eastern-European Journal of Enterprise Technologies, 5(1 (125), 64–72. https://doi.org/10.15587/1729-4061.2023.287565

Issue

Vol. 5 No. 1 (125) (2023): Engineering technological systems

Section

Engineering technological systems

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Copyright (c) 2023 Yuriy Naumenko, Kateryna Deineka

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