Understanding Size Segregation in Tumbling Mills

Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 188)

Abstract

Several parameters affect the grinding performance in tumbling mills. Among them, the energy spectra has been considered as a key qualitative parameter. Another parameter that critically affects the milling performance is size segregation in the mill. The energy spectra and size distribution of the impacting media are interrelated. These must correctly evolve and optimally set in response to milling parameters. The present work focuses on the radial size segregation in a mill. It is observed that at lower mill speed bigger balls move near the periphery of mill and smaller balls clutter around the kidney of the charge. In contrast, at higher speed reversal in the positioning of balls take place i.e. smaller balls move closer to the periphery and the larger ones occupy the positions relatively closer to the center of mill. At an intermediate speed, charge dynamics attain a perfect transition state representing uniform distribution of contacts—a condition favorable for grinding. Discrete element simulations have been carried out to understand the rationale for size segregation and its reversing pattern. The segregation pattern at lower milling speed can be explained by analyzing the rapid flow layer. As mill speed increases, the height from which balls fall start getting differentiated according to their size. At sufficiently high mill speed, centrifugal and frictional forces cause a situation where smaller balls are closer to the periphery. The improved understanding may help avoid the segregation and achieve the uniform energy spectra.

Keywords

Discrete Element Method Critical Speed Normal Contact Force Discrete Element Method Simulation Granular Assembly 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Agrawala, S., Rajamani, R.K., Songfack, P., Mishra, B.K.: Mechanics of media motion in tumbling mills with 3d discrete element method. Miner. Eng. 10, 215–227 (1997)CrossRefGoogle Scholar
  2. 2.
    Alchikh-Sulaiman, B., Alian, M., Ein-Mozaffari, F.: Using the discrete element method to assess the mixing of polydisperse solid particles in a rotary drum. Particulogy 25, 133–142 (2016)CrossRefGoogle Scholar
  3. 3.
    Aranson, I.S., Tsimring, L.S.: Patterns and collective behaviour in granular media: theoretical concepts. Rev. Mod. Phys. 78, 641–692 (2006)ADSCrossRefGoogle Scholar
  4. 4.
    Ayeni, O.O., Wu, C.L., Joshi, J.B., NandaKumar, K.: A discrete element method study of granular segregation in non-circular rotating drums. Powder Technol. 283, 549–560 (2015)CrossRefGoogle Scholar
  5. 5.
    Ball, P.: Material witness: pasta physics. Nat. Mater. 9, 539 (2010)ADSCrossRefGoogle Scholar
  6. 6.
    Barker, G.C., Mehta, A.: Size segregation in powders. Nature 361, 486–487 (1993)ADSCrossRefGoogle Scholar
  7. 7.
    Barker, G.C., Mehta, A.: Size segregation mechanisms. Nature 364, 308 (1993)ADSCrossRefGoogle Scholar
  8. 8.
    Boateng, A.A.: Chapter 5—Mixing and segregation. In: Boateng, A.A. (ed.) Rotary Kiln: Transport Phenomena and Transport Processes, 2nd edn, pp. 85–106. Butterworth-Heinemann, Oxford (2016)CrossRefGoogle Scholar
  9. 9.
    Chen, H., Zhao, X., Xiao, Y., Liu, Y., Liu, Y.: Radial mixing and segregation of granular bed bi-dispersed both in particle size and density with horizontal rotating drum. Trans. Nonferrous Metals Soc. China 26, 527–535 (2016)CrossRefGoogle Scholar
  10. 10.
    Cleary, P.W.: Recent advances in DEM modelling of tumbling mills. Miner. Eng. 14, 1295–1319 (2001)CrossRefGoogle Scholar
  11. 11.
    Duran, J., Mazozi, T.: Granular Boycott effect: how to mix granulates. Phys. Rev. E 60, 6199–6201 (1999)ADSCrossRefGoogle Scholar
  12. 12.
    Eshuis, P.K., van deer Weele, K., van deer Meer, D., Lohse, D. Granular Leidenfrost effect: experiment and theory of floating particle clusters. Phys. Rev. Lett. 95, 258001 (2005)Google Scholar
  13. 13.
    Feynman, R., Leighton, R.B., Sands, M.: The Feynman Lectures on Physics, vol. 1. Addison-Wesley, Reading (1963). ISBN 0-201-02010-6MATHGoogle Scholar
  14. 14.
    Gibson, R.F.: Centrifugal extractors. Sci. Am. 24, 9772–9774 (1887)CrossRefGoogle Scholar
  15. 15.
    Gray, J.M.N.T., Gajjar, P., Kokelaar, P.: Particle-size segregation in dense granular avalanches. C.R. Phys. 16, 73–85 (2015)ADSCrossRefGoogle Scholar
  16. 16.
    Grima, A.P., Wypych, P.W.: Investigation into calibration of discrete element model parameters for scale-up and validation of particle-structure integrations under impact conditions. Powder Technol. 212, 198–209 (2011)CrossRefGoogle Scholar
  17. 17.
    Gröger, T., Tüzün, U., Heyes, D.M.: Modelling and measurement of cohesion in wet granular materials. Powder Technol. 133, 203–215 (2003)Google Scholar
  18. 18.
    Guthrie, F.: Centrifugal force and D’ Alembert’s principal. Nature 40, 319–320 (1889)ADSCrossRefMATHGoogle Scholar
  19. 19.
    Hong, D.C., Quinn, P.V., Luding, S.: Reverser Brazil nut problem: competition between percolation and condensation. Phys. Rev. Lett. 86, 3423 (2001)Google Scholar
  20. 20.
    Johnson, K.L.: Contact Mechanics. Cambridge University Press, Cambridge (1987)Google Scholar
  21. 21.
    Jullien, R., Meakin, P.: A mechanism for particle size segregation in three dimensions. Nature 344, 425–427 (1990)ADSCrossRefGoogle Scholar
  22. 22.
    Katsuragi, H.: Bottom pressure scaling of vibro-fluidized granular matter. Sci. Rep. 5, 17279 (2015)Google Scholar
  23. 23.
    Khakhar, D.V., Orpe, A.V., Hajra, S.K.: Segregation of granular materials in rotating cylinders. Phys. A 318, 129–136 (2003)CrossRefGoogle Scholar
  24. 24.
    King, R.P.: Chapter 5: Comminution operations, In: Modelling and simulation of mineral processing systems, pp. 1164–166. Butterworth-Heinemann (2001)Google Scholar
  25. 25.
    Kloss, C., Goniva, C.: LIGGGHTS manual, In: Kloss, C., Goniva, C. (eds.) CFDEM project—LIGGGHTS3.x. http://cdn.rawgit.com/CFDEMproject/LIGGGHTS-PUBLIC/master/doc/gran_model_hertz.html. Accessed 10 Apr 2016)
  26. 26.
    Li, Y., Xu, Y., Thornton, C.: A comparison of discrete simulations and experiments for ‘sandpiles’ composed of spherical particles. Powder Technol. 160, 219–228 (2005)Google Scholar
  27. 27.
    Li, Y., Xu, Y., Jiang, S.: DEM simulations of experiments of pebble flow with monosized spheres 193, 312–318 (2009)Google Scholar
  28. 28.
    McCarthy, J.J., Khakhar, D.V., Ottino, J.M.: Computational details of granular mixing. Powder Technol. 109, 72–82 (2000)CrossRefGoogle Scholar
  29. 29.
    Mishra, B.K.: A review of computer simulation of tumbling mills by the discrete element method: Part I-contact mechanics. Int. J. Miner. Process. 71, 73–93 (2003)CrossRefGoogle Scholar
  30. 30.
    Mishra, B.K.: 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)CrossRefGoogle Scholar
  31. 31.
    Möbius, M.E., Lauderdale, B.E., Nagel, S.R., Jaeger, H.M.: Brazil-nut effect: size separation of granular particles. Nature 414, 270 (2001)ADSCrossRefGoogle Scholar
  32. 32.
    Ottino, J.M., Khakhar, D.V.: Fundamental research in heaping, mixing, and segregation of granular materials: challenges and perspectives. Powder Technol. 121, 117–122 (2001)CrossRefGoogle Scholar
  33. 33.
    Rajamani, R.K., Songfack, P., Mishra, B.K.: Impact energy spectra of tumbling mills. Powder Technol. 108, 116–121 (2000)CrossRefGoogle Scholar
  34. 34.
    Rajamani, R.K., Mishra, B.K., Venugopal, R., Datta, A.: Discrete element analysis of tumbling mills. Powder Technol. 109, 105–112 (2000)CrossRefGoogle Scholar
  35. 35.
    Renzo, A.Di, Di Maio, F.P.: Comparison of contact-force models for the simulation of collisions in DEM-based granular flow codes. Chem. Eng. Sci. 59, 525–541 (2004)CrossRefGoogle Scholar
  36. 36.
    Richard, P., Nicodemi, M., Delannay, R., Ribiere, P., Bideau, D.: Slow relaxation and compaction of granular systems. Nat. Mater. 4, 121–128 (2005)ADSCrossRefGoogle Scholar
  37. 37.
    Santos, D.A., Duarte, C.R., Barrozo, M.A.S.: Segregation phenomenon in rotary drum: experimental study and CFD simulation. Powder Technol. 294, 1–10 (2016)CrossRefGoogle Scholar
  38. 38.
    Shinbrot, T.: Granular materials: the brazil nut effect—in reverse. Nature 429, 353 (2004)ADSCrossRefGoogle Scholar
  39. 39.
    Shinbrot, T., Muzzio, F.J.: Reverse buoyancy in shaken granular beds, Phys. Rev. Lett. 81, 4365 (1998)Google Scholar
  40. 40.
    Soni, R.K., Eswaraiah, C., Mishra, B.K.: A novel and direct approach for modeling and simulation of impact grinding. Adv. Powder Technol. 26, 1031–1039 (2015)CrossRefGoogle Scholar
  41. 41.
    Soni, R.K., Mohanty, R., Mohanty, S., Mishra, B.K.: Numerical analysis of mixing of particles in drum mixers using DEM. Adv. Powder Technol. 27, 531–540 (2016)CrossRefGoogle Scholar
  42. 42.
    Unger, P., Ramgren, O., Pollak, P., Broström, H.: A centrifuge for separation and collection of fractions in separate containers under sterile conditions. Nature 201, 32–35 (1964)ADSCrossRefGoogle Scholar
  43. 43.
    Verma, H.C.: Chapter 7: Circular motion, In: Concepts of Physics 1, Bharti Bhavan, 4th reprint of 2008 edition, p. 103 (1992)Google Scholar
  44. 44.
    Wen, P., Zheng, N., Li, L., Shi, Q.: Symmetrically periodic segregation in a vertically vibrated binary granular bed. Sci. Rep. 4, 6914 (2014)Google Scholar
  45. 45.
    Zhang, J., Yan, S., Sluyter, R., Li, W., Alici, G., Nguyen, N.-T.: Inertial particle separation by differential equilibrium positions in a symmetrical serpentine micro-channel. Sci. Rep. 4 (2014)Google Scholar

Copyright information

© Springer Science+Business Media Singapore 2017

Authors and Affiliations

  1. 1.CSIR-Institute of Minerals and Materials TechnologyBhubneswarIndia

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