Investigation of the effect of industrial ball mill liner type on their comminution mechanism using DEM

Document Type : Research Paper

Authors

Faculty of Mining, Petroleum & Geophysics Engineering, Shahrood University of Technology, Shahrood, Iran

Abstract

The mill shell liner type, rotation speed and the amount of its loading are the key factors influencing the charge behavior, consequently the comminution mechanism. In this paper, milling operation of industrial ball mills using Discrete Element Method (DEM) is investigated. First, an industrial scale ball mill with a Smooth liner type is simulated. Then, by changing liner type, i.e. Wave, Rib, Ship-lap, Lorain, Osborn, and Step liners, six other independent simulations are performed. Effects of mill shell liner type on charge shoulder, toe, impact, and head points, also on head height and impact zone length as well as on creation of cascading, cataracting, and centrifuging motions for balls at two different mill speeds, i.e. 70% and 80% of its critical speed (NC) are evaluated. Also, in order to validate simulation results, a laboratory scale mill is simulated. The results indicate that the charge heads are respectively about 240.13, 283.40, 306.47, 278.12, 274.42, 274.42, and 278.12 cm at the simulations performed with Smooth, Wave, Rib, Ship-lap, Lorain, Osborn, and Step liners at 70% of NC. The corresponding values at 80% of NC are as follows: 256.08, 264.56, 313.54, 298.45, 313.54, 311.60, and 283.40 cm. On the other hand, the impact zone lengths are respectively about 33.14, 22.11, 38.63, 35.86, 38.63, 38.63, and 49.59 cm at the simulations performed with above-mentioned liners at 70% of NC. The corresponding values for impact zone lengths at 80% of NC are as follows: 35.86, 27.63, 49.59, 38.63, 33.14, 52.32, and 41.38 cm. Comparison of the simulations related to the laboratory scale mill with experimental results demonstrates a good agreement which validates the DEM simulations and the software used.

Keywords


[1] G. Rosales-Marín, J. Andrade, G. Alvarado, J.A. Delgadillo, E.T. Tuzcu, “Study of lifter wear and breakage rates for different lifter geometries in tumbling mill: Experimental and simulation analysis using population balance model”, Minerals Engineering, 141, September 2019.
[2] B. K. Mishra and R. K. Rajamani, “The discrete element method for the simulation of ball mills”, Appl. Math. Modelling, 16, 598 – 604, 1992.
[3] M.S. Powell, A.T. McBride, “A three-dimensional analysis of media motion and grinding regions in mills”, Minerals Engineering, 17, 1099–1109, 2004.
[4] P.W. Cleary, “Predicting charge motion, power draw, segregation and wear in ball mills using discrete element methods”, Minerals Engineering, 11, 1061-1080, 1998.
[5] P. W. Cleary, “Charge behaviour and power consumption in ball mills: sensitivity to mill operating conditions, liner geometry and charge composition”, Int. J. Miner. Process. 63, 79–114, 2001.
[6] J. T. Kalala, M. M. Bwalya, M. H. Moys, “Discrete element method (DEM) modelling of evolving mill liner profiles due to wear. Part I: DEM validation”, Minerals Engineering 18,1386–1391, 2005.
[7] J. T. Kalala, M. Bwalya, M.H. Moys, “Discrete element method (DEM) modelling of evolving mill liner profiles due to wear. Part II. Industrial case study”, Minerals Engineering, 18, 1392–1397, 2005.
[8] S. Banisi, M. Hadizadeh, “3-D liner wear profile measurement and analysis in industrial SAG mills”, Minerals Engineering, 20, 132– 139, 2007.
[9] M. Yahyaei, S. Banisi, M. Hadizadeh, “Modification of SAG mill liner shape based on 3-D liner wear profile measurements”, Int. J. Miner. Process. 91, 111–115, 2009.
[10] P. W. Cleary, “Recent Advances in DEM modelling of tumbling mills”, Minerals Engineering, 14, 1295 – 1319, 2001. [11] M. K. Abd El-Rahman, B. K. Mishra, R. K. Rajamani, “Industrial tumbling mill power prediction using the discrete element method”, Minerals Engineering, 14, 1321–1328, 2001.
[11] M. K. Abd El-Rahman, B. K. Mishra, R. K. Rajamani, “Industrial tumbling mill power prediction using the discrete element method”, Minerals Engineering, 14, 1321–1328, 2001.
[12] P. W. Cleary, R. Morrisson, S. Morrell, “Comparison of DEM and experiment for a scale model SAG mill”, Int. J. Miner. Process., 68,129– 165, 2003.
[13] B. K. Mishra, “A review of computer simulation of tumbling mills by the discrete element method Part II—Practical applications”, Int. J. Miner. Process., 71, 95– 112, 2003.
[14] R. D. Morrison, P. W. Cleary, “Using DEM to model ore breakage within a pilot-scale SAG mill”, Minerals Engineering 17, 1117– 1124, 2004.
[15] N. Djordjevic, F. N. Shi, R. Morrison, “Determination of lifter design, speed and filling effects in AG mills by 3D DEM”, Minerals Engineering, 17, 1135–1142, 2004.
[16] N. Djordjevic, R. Morrison, B. Loveday, P. Cleary, “Modelling comminution patterns within a pilot-scale AG/SAG mill”, Minerals Engineering, 19, 1505–1516, 2006.
[17] M. Maleki-Moghaddam, A. R. Ghasemi, M. Yahyaei, S. Banisi, “The impact of the end-wall effect on the charge trajectory in tumbling model mills”, Int. J. Miner. Process., 144, 75 – 80, 2015.
[18] P. Owen, P. W. Cleary, “The relationship between charge shape characteristics and fill level and lifter height for a SAG mill”, Minerals Engineering, 83, 19–32, 2015.
[19] N. S. Weerasekara, L. X. Liu, M. S. Powell, “Estimating energy in grinding using DEM modelling”, Minerals Engineering, 85, 23– 33, 2016.
[20] P. W. Cleary, P. Owen, “Development of models relating charge shape and power draw to SAG mill operating parameters and their use in devising mill operating strategies to account for liner wear”, Minerals Engineering, 117, 42–62, 2018.
[21] L. Xu, K. Luo, Y. Zhao, “Numerical prediction of wear in SAG mills based on DEM simulations”, Powder Technology, 329, 353–363, 2018.
[22] P. W. Cleary, P. Owen, “Effect of operating condition changes on the collisional environment in a SAG mill”, Minerals Engineering, 132, 297–315, 2019.
[23] A. R. Hasankhoei, M. Maleki-Moghaddam, A. Haji-Zadeh, M. E. Barzgar, S. Banisi, “On dry SAG mills end liners: Physical modeling, DEM-based characterization and industrial outcomes of a new design”, Minerals Engineering, 141, 105835, 2019.
[24] X. Bian, G. Wang, H. Wang, S. Wang, W. Lv, “Effect of lifters and mill speed on particle behaviour, torque, and power consumption of a tumbling ball mill: Experimental study and DEM simulation”, Minerals Engineering, Minerals Engineering,105, 22 – 35, 2017.
[25] F. Pedrayes, J. G. Norniella, M. G. Melero, J. M. Menéndez-Aguado, J. J. Juan J. del Coz-Díaz, “Frequency domain characterization of torque in tumbling ball mills using DEM modelling: Application to filling level monitoring”, Powder Technology, 323, 433 – 444, 2018.
[26] B. A. Wills, T.J., Napier-Munn, “Wills' Mineral Processing Technology”, 8th edition. Elsevier, pp. 147–180. Chapter 7, 2016. [27] P. W. Cleary, “Large scale industrial DEM modeling”, Eng. Comput. 21,169–204, 2004.
[28] P. W. Cleary, M. D. Sinnott, R. D. Morrison, “DEM prediction of particle flows in grinding processes”, Int. J. Numer. Methods Fluids 58, 319–353, 2008.
[29] P. W. Cleary, “Ball motion, axial segregation and power consumption in a full scale two chamber cement mill”, Miner. Eng. 22, 809–820, 2009.
[30] J. Kozicki, F. V. Donzé, “YADE-OPEN DEM: an open-source software using a discrete element method to simulate granular material”, Eng. Comput. 26, 786–805, 2009.
[31] J. Chen, B. Huang, F. Chen, X. Shu, “Application of discrete element method to Superpave gyratory compaction”, Road Mater. Pavement 13, 480–500, 2012.
[32] L. Zhang, S.F. Quigley, A. H. C. Chan, “A fast scalable implementation of the two-dimensional triangular Discrete Element Method on a GPU platform”, Adv. Eng. Softw. 60–61, 70–80, 2013.
[33] H. Kruggel-Emden, M. Sturm, S. Wirtz, V. Scherer, “Selection of an appropriate time integration scheme for the discrete element method (DEM)”, Comput. Chem. Eng. 32, 2263–2279, 2008.
[34] B. Nassauer, T. Liedke, M. Kuna, “Polyhedral particles for the discrete element method Geometry representation, contact detection, and particle generation”, Granul. Matter, 15, 85–93, 2013.
[35] A. O. Raji, J. F. Favier, “Model for the deformation in agricultural and food particulate materials under bulk compressive loading using discrete element method. I: theory, model development, and validation”, J. Food Eng. 64, 359–371, 2004.
[36] B. Nassauer, M. Kuna, “Contact forces of polyhedral particles in discrete element method”, Granul. Matter, 15, 349–355, 2013.
[37] R. Balevičius, A. Džiugys, R. Kačianauskas, A. Maknickas, K. Vislavičius, “Investigation of performance of programming approaches and languages used for numerical simulation of granular material by the discrete element method”, Comput. Phys. Commun. 175, 404–415, 2006.
[38] G. W. Delaney, P. W. Cleary, R. D. Morrison, S. Cummins, B. Loveday, “Predicting breakage and the evolution of rock size and shape distributions in Ag and SAG mills using DEM”, Miner. Eng. 50–51, 32–139, 2013.
[39] J. M. Ting, M. Khwaja, L. R. Meachum, J. D. Rowell, “An ellipsebased discrete element model for granular materials”, Int. J. Numer. Anal. Methods Geomech. 17, 603–623, 1993.
[40] I. Shmulevich, “State of the art modeling of soil–tillage interaction using discrete element method”, Soil Tillage Res. 111, 41–53, 2010.
[41] P. W. Cleary, M. L. Sawley, “DEM modelling of industrial granular flows: 3D case studies and the effect of particle shape on hopper discharge, Appl. Math. Model. 26, 89–111, 2002.
[42] P. W. Cleary, “Industrial particle flow modelling using discrete element method, Eng. Comput. 26, 698–743, 2009.
[43] P. W. Cleary, M. D. Sinnott, “Assessing mixing characteristics of particle-mixing and granulation devices, Particuology, 6, 419–444, 2008.
[44] P. W. Cleary, “DEM prediction of industrial and geophysical particle flows”, Particuology, 8, 106–118, 2010.
[45] P. W. Cleary, R. D. Morrison, “Particle methods for modelling in mineral processing”, Int. J. Comput. Fluid Dyn. 23,137–146, 2009.
[46] S. Just, G. Toschkoff, A. Funke, D. Djuric, G. Scharrer, J. Khinast, K. Knop, P. Kleinebudde, “Experimental analysis of tablet properties for discrete element modeling of an active coating process”, AAPS PharmSciTech 14, 402–411, 2013.
[47] W. McBride, P. W. Cleary, “An investigation and optimization of the ‘OLDS’ elevator using Discrete Element Modeling”, Powder Technol. 193, 216–234, 2009.
[48] C. Goniva, C. Kloss, N.G. Deen, J.A.M. Kuipers, S. Pirker, “Influence of rolling friction on single spout fluidized bed simulation Particuology 10, 582–591, 2012.
[49] C. Goniva, C. Kloss, A. Hager, S. Pirker, “An open-source CFD–DEM perspective”, Proceedings of OpenFOAM Workshop Gothenburg, Sweden, 2010.
[50] C. Kloss, C. Goniva, G. Aichinger, S. Pirker, “Comprehensive DEM– DPM–CFD simulations—model synthesis, experimental validation and scalability”, Seventh International Conference on CFD in the Minerals and Process Industries CSIRO, Melbourne, Australia, 2009.
[51] B. A. Wills, “Wills’ Mineral Processing Technology – An Introduction to the Practical Aspects of Ore Treatment and Mineral Recovery”, Eighth Edition, Butterworth-Heinemann, Elsevier, 2016.
[52] N.S. Weerasekara, M.S. Powell, P. W. Cleary, L.M. Tavares, M. Evertsson, R.D. Morrison, J. Quist, R.M. Carvalho, “The contribution of EM to the science of comminution”, Powder Technol. 248 (2013) 3–24.