Revealing the effect of decreased energy intensity of grinding in a tumbling mill during self-excitation of auto-oscillations of the intrachamber fill
DOI:
https://doi.org/10.15587/1729-4061.2019.155461Keywords:
tumbling mill, intrachamber fill, impact action, auto-oscillation self-excitation, energy intensity of grindingAbstract
We have investigated a possibility to perform comparative evaluation of the effectiveness of grinding process in a tumbling mill under conventional steady and self-excited auto-oscillatory flow modes of the intrachamber fill.
A mathematical model for the parameters of impact influence of the milling fill on the ground material has been constructed. We applied an analytical-experimental method to visually analyze flow patterns in the cross-section of a rotating chamber.
Numerically, by using approximate procedures, we have established a dynamic effect of increasing mean sums of vertical components in impact pulses and mean sums of power of such components at self-excitation of auto-oscillations.
The technological effect has been experimentally established of a significant decrease in energy intensity and a certain increase in productivity of the identified self-oscillatory grinding process, compared with the characteristics of conventional steady-state process. This involved a sieve analysis of the ground product, as well as measuring the fill flow turnover and the power of a drum rotation drive.
The example considered was the process of grinding cement clinker at a degree of filling the chamber with a fill of 0.45, at a relative size of ball grinding elements of 0.026, while the gaps between grinding bodies were completely filled with the ground material. It was established that at auto-oscillation self-excitation the grinding energy intensity reduces by 27.2 %, while performance increases by 6.7 %.
The effects established in this work make it possible to predict the rational parameters for aself-oscillatory process of grinding in a tumbling millReferences
- Naumenko, Yu. V. (1999). The antitorque moment in a partially filled horizontal cylinder. Theoretical Foundations of Chemical Engineering, 33 (1), 91–95.
- Naumenko, Yu. V. (2000). Determination of rational rotation speeds of horizontal drum machines. Metallurgical and Mining Industry, 5, 89–92.
- 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
- 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
- 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
- Jiang, S., Ye, Y., Tan, Y., Liu, S., Liu, J., Zhang, H., Yang, D. (2018). Discrete element simulation of particle motion in ball mills based on similarity. Powder Technology, 335, 91–102. doi: https://doi.org/10.1016/j.powtec.2018.05.012
- Usman, H., Taylor, P., Spiller, D. E. (2017). The effects of lifter configurations and mill speeds on the mill power draw and performance. AIP Conference Proceedings. doi: https://doi.org/10.1063/1.4974432
- Powell, M. S., Hilden, M. M., Weerasekara, N., Yahyaei, M., Toor, P., Franke, J., Bird, M. (2012). A more holistic view of mill liner management. 11th AusIMM Mill Operators’ Conference, 95–104.
- Xu, L., Luo, K., Zhao, Y. (2018). Numerical prediction of wear in SAG mills based on DEM simulations. Powder Technology, 329, 353–363. doi: https://doi.org/10.1016/j.powtec.2018.02.004
- Ebrahimi-Nejad, S., Fooladi-Mahani, M. (2009). Optimizing the characteristics of the motion of steel balls and their impact on shell liners in SAG mills. Iranian Journal of Mechanical Engineering, 10 (1), 5–22.
- Wu, Q., Bai, Y., Zhang, J. G., Dong, H., Ye, X. (2014). Characteristic analysis on process of grinding ball impacting charge in ball mil. Mining and Processing Equipment, 1.
- 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
- Powell, M. S., Govender, I., McBride, A. T. (2008). Applying DEM outputs to the unified comminution model. Minerals Engineering, 21 (11), 744–750. doi: https://doi.org/10.1016/j.mineng.2008.06.010
- Tavares, L. M., de Carvalho, R. M. (2009). Modeling breakage rates of coarse particles in ball mills. Minerals Engineering, 22 (7-8), 650–659. doi: https://doi.org/10.1016/j.mineng.2009.03.015
- McElroy, L., Bao, J., Yang, R. Y., Yu, A. B. (2009). Soft-sensors for prediction of impact energy in horizontal rotating drums. Powder Technology, 195 (3), 177–183. doi: https://doi.org/10.1016/j.powtec.2009.05.030
- Weerasekara, N. S., Powell, M. S., Cleary, P. W., Tavares, L. M., Evertsson, M., Morrison, R. D. et. al. (2013). The contribution of DEM to the science of comminution. Powder Technology, 248, 3–24. doi: https://doi.org/10.1016/j.powtec.2013.05.032
- Weerasekara, N. S., Liu, L. X., Powell, M. S. (2016). Estimating energy in grinding using DEM modelling. Minerals Engineering, 85, 23–33. doi: https://doi.org/10.1016/j.mineng.2015.10.013
- Zhen-Xu, Sun, J., Cheng, H. (2018). Study on the influence of liner parameters on the power of ball mill and impact energy of grinding ball. IOP Conference Series: Earth and Environmental Science, 153 (2), 022027. doi: https://doi.org/10.1088/1755-1315/153/2/022027
- Yahyaei, M., Weerasekara, N. S., Powell, M. S. (2014). Impact of mill size on low-energy surface damage. XXVII International Mineral Processing Congress – IMPC 2014: Conference Proceedings, 53–62.
- Razavi-Tousi, S. S., Szpunar, J. A. (2015). Effect of ball size on steady state of aluminum powder and efficiency of impacts during milling. Powder Technology, 284, 149–158. doi: https://doi.org/10.1016/j.powtec.2015.06.035
- Bonfils, B., Ballantyne, G. R., Powell, M. S. (2016). Developments in incremental rock breakage testing methodologies and modelling. International Journal of Mineral Processing, 152, 16–25. doi: https://doi.org/10.1016/j.minpro.2016.04.010
- Akhondizadeh, M., Rezaeizadeh, M. (2016). Experimental investigation of the effect of energy on the ore breakage. Mechanics & Industry, 18 (1), 113. doi: https://doi.org/10.1051/meca/2016050
- Akhondizadeh, M., Rezaeizadeh, M. (2018). Effect of specimen size and ball size on breakage throughput in the drop-weight test. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 095440891876529. doi: https://doi.org/10.1177/0954408918765293
- Tuzcu, E. T., Rajamani, R. K. (2011). Modeling breakage rates in mills with impact energy spectra and ultra fast load cell data. Minerals Engineering, 24 (3-4), 252–260. doi: https://doi.org/10.1016/j.mineng.2010.08.017
- Crespo, E. F. (2011). Application of particle fracture energy distributions to ball milling kinetics. Powder Technology, 210 (3), 281–287. doi: https://doi.org/10.1016/j.powtec.2011.03.030
- Pérez-Alonso, C. A., Delgadillo, J. A. (2013). DEM-PBM approach to predicting particle size distribution in tumbling mills. Mining, Metallurgy & Exploration, 30 (3), 145–150. doi: https://doi.org/10.1007/bf03402260
- Tavares, L. M., Cavalcanti, P. P., de Carvalho, R. M., da Silveira, M. W., Bianchi, M., Otaviano, M. (2018). Fracture probability and fragment size distribution of fired Iron ore pellets by impact. Powder Technology, 336, 546–554. doi: https://doi.org/10.1016/j.powtec.2018.06.036
- Yahyaei, M., Banisi, S. (2010). Spreadsheet-based modeling of liner wear impact on charge motion in tumbling mills. Minerals Engineering, 23 (15), 1213–1219. doi: https://doi.org/10.1016/j.mineng.2010.08.013
- Powell, M. S., Weerasekara, N. S., Cole, S., LaRoche, R. D., Favier, J. (2011). DEM modelling of liner evolution and its influence on grinding rate in ball mills. Minerals Engineering, 24 (3-4), 341–351. doi: https://doi.org/10.1016/j.mineng.2010.12.012
- Ashrafizadeh, H., Ashrafizadeh, F. (2012). A numerical 3D simulation for prediction of wear caused by solid particle impact. Wear, 276-277, 75–84. doi: https://doi.org/10.1016/j.wear.2011.12.003
- Akhondizadeh, M., Fooladi Mahani, M., Mansouri, S. H., Rezaeizadeh, M. (2013). A computational wear model of the oblique impact of a ball on a flat plate. Journal of Solid Mechanics, 5 (2), 107–115.
- Akhondizadeh, M., Fooladi Mahani, M., Rezaeizadeh, M., Mansouri, S. H. (2014). Experimental investigation of the impact wear. Mechanics & Industry, 15 (1), 39–44. doi: https://doi.org/10.1051/meca/2014006
- Akhondizadech, M., Mahani, M. F., Mansouri, S. H., Rezaeizadech, M. (2015). A new procedure of impact wear evaluation of mill liner. International Journal of Engineering (IJE), TRANSACTIONS A: Basics, 28 (4), 593–598.
- Akhondizadeh, M., Fooladi Mahani, M., Rezaeizadeh, M., Mansouri, S. (2016). Prediction of tumbling mill liner wear: Abrasion and impact effects. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 230 (10), 1310–1320. doi: https://doi.org/10.1177/1350650116635424
- Deineka, K. Y., Naumenko, Y. 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
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2019 Kateryna Deineka, Yurii Naumenko
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.