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S shape of a granular pile in a rotating drum

Nicolas Taberlet1,2, Patrick Richard1, and E. John Hinch2

  • 1GMCM, Université Rennes 1, CNRS UMR 6626, Batiment 11A, 35042 Rennes, France
  • 2DAMTP, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, United Kingdom

Phys. Rev. E 73, 050301(R) – Published 16 May, 2006

DOI: https://doi.org/10.1103/PhysRevE.73.050301

Abstract

The shape of a granular pile in a rotating drum is investigated. Using discrete elements method (DEM) simulations we show that the “S shape” obtained for high rotation speed can be accounted for by the friction on the end plates. A theoretical model which accounts for the effect of the end plates is presented and the equation of the shape of the free surface is derived. The model reveals a dimensionless number which quantifies the influence of the end plates on the shape of the pile. Finally, the scaling laws of the system are discussed and numerical results support our conclusions.

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References (23)

  1. H. Henein, J. Brimacombe, and A. P. Watkinson, Metall. Trans. B 14B, 207 (1983).
  2. J. Mellmann, Powder Technol. 118, 251 (2001).
  3. GdR-MiDi, Eur. Phys. J. E 14, 341 (2004).
  4. J. Rajchenbach, Phys. Rev. Lett. 65, 2221 (1990).
  5. A. Orpe and V. Khakhar, Phys. Rev. E 64, 031302 (2001).
  6. M. Nakagawa, S. Altobelli, A. Caprihan, E. Fukushima, and E. Jeong, Exp. Fluids 16, 54 (1999).
  7. G. Felix, Ph.D. thesis, Institut National Polytechnique de Lorraine, Nancy, France, 2002 (unpublished).
  8. D. Levine, Chaos 9, 573 (1999).
  9. O. Zik, D. Levine, S. Lipson, S. Shtrikman, and J. Stavans, Phys. Rev. Lett. 73, 644 (1994).
  10. T. Elperin and A. Vikhansky, Europhys. Lett. 42, 619 (1998).
  11. D. Khakhar, A. Orpe, P. Andresen, and J. Ottinon, J. Fluid Mech. 441, 255 (2001).
  12. S. Courrech du Pont, P. Gondret, B. Perrin, and M. Rabaud, Europhys. Lett. 61, 492 (2003).
  13. N. Taberlet et al., Phys. Rev. Lett. 91, 264301 (2003).
  14. A. Caprihan et al., in Powders and Grains, edited by R. Garcia-Rojo, H. Hermann, and S. McNamara (Stuttgart, 2005), p. 877.
  15. M. Renouf, D. Bonamy, P. Alart, and F. Dubois, in Powders and Grains, edited by R. Garcia-Rojo, H. Hermann, and S. McNamara (Stuttgart, 2005), p. 881.
  16. P. Jop, Y. Forterre, and O. Pouliquen, J. Fluid Mech.541, 167 (2005).
  17. C. Dury and G. Ristow, Europhys. Lett. 48, 60 (1999).
  18. N. Taberlet, W. Losert, and P. Richard, Europhys. Lett. 68, 522 (2004).
  19. N. Taberlet, W. Losert, and P. Richard, in Powders and Grains, edited by R. Garcia-Rojo, H. Hermann, and S. McNamara (Stuttgart, 2005), p. 853.
  20. D. Frenkel and B. Smith, Understanding Molecular Simulations (Academic, San Diego, 1996).
  21. J. Rajchenbach, Adv. Phys. 49, 229 (2000).
  22. D. Bonamy, F. Daviaud, and L. Laurent, Phys. Fluids 14, 1666 (2002).
  23. D. Khakhar, A. Orpe, and S. Hajra, in Powders and Grains, edited by R. Garcia-Rojo, H. Hermann, and S. McNamara (Stuttgart, 2005), p. 785.

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