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Segregation pattern competition in a thin rotating drum
Phys. Rev. E 79, 051303 – Published 14 May, 2009
DOI: https://doi.org/10.1103/PhysRevE.79.051303
Abstract
Results are presented of an experimental investigation into patterned size segregation of binary granular mixtures in a thin rotating drum that is half full. It is observed that streaks of small particles are formed within regions of large ones where the integer number of streaks is fixed over a range of rotation rate of the drum. Different patterns form in adjacent parameter ranges and the dynamics associated with the exchange between neighboring states is analyzed using angular spatiotemporal diagrams. These help to reveal properties of the merging mechanism for streaks of small particles. We report experimental evidence that the merging of streaks is mediated by the movement of a surplus material in a direction opposite to that of the rotation of the drum. The excess material is distributed throughout the pattern and the extra streak eventually disappears.
Article Text
References (23)
- S. W. Meier, R. M. Lueptow, and J. M. Ottino, Adv. Phys. 56, 757 (2007).
- J. M. Ottino and D. V. Khakhar, Annu. Rev. Fluid Mech. 32, 55 (2000).
- T. Mullin, Science 295, 1851 (2002).
- I. S. Aranson and L. S. Tsimring, Rev. Mod. Phys. 78, 641 (2006).
- K. M. Hill and Yi Fan, Phys. Rev. Lett. 101, 088001 (2008).
- O. Zik, D. Levine, S. G. Lipson, S. Shtrikman, and J. Stavans, Phys. Rev. Lett. 73, 644 (1994).
- I. Zuriguel, J. F. Boudet, Y. Amarouchene, and H. Kellay, Phys. Rev. Lett. 95, 258002 (2005).
- K. M. Hill, A. Caprihan, and J. Kakalios, Phys. Rev. Lett. 78, 50 (1997).
- Z. S. Khan, W. A. Tokaruk, and S. W. Morris, Europhys. Lett. 66, 212 (2004); Z. S. Khan and S. W. Morris, Phys. Rev. Lett. 94, 048002 (2005).
- M. Newey, J. Ozik, S. M. van der Meer, E. Ott, and W. Losert, Europhys. Lett. 66, 205 (2004).
- G. Metcalfe, T. Shinbrot, J. J. McCarthy, and J. M. Ottino, Nature (London) 374, 39 (2002).
- E. Clément, J. Rajchenbach, and J. Duran, Europhys. Lett. 30, 7 (1995).
- F. Cantelaube and D. Bideau, Europhys. Lett. 30, 133 (1995).
- H. A. Makse, S. Havlin, P. R. King, and H. E. Stanley, Nature (London) 386, 379 (1997); H. A. Makse, P. Cizeau, and H. E. Stanley, Phys. Rev. Lett. 78, 3298 (1997); H. A. Makse, R. C. Ball, H. E. Stanley, and S. Warr, Phys. Rev. E 58, 3357 (1998).
- J. M. N. T. Gray and K. Hutter, Continuum Mech. Thermodyn. 9, 341 (1997).
- J. C. Williams, Powder Technol. 2, 13 (1968).
- K. M. Hill, G. Gioia, and D. Amaravadi, Phys. Rev. Lett. 93, 224301 (2004); K. M. Hill, G. Gioia, D. Amaravadi, and C. Winter, Complexity 10, 79 (2005).
- K. M. Hill, D. V. Khakhar, J. F. Gilchrist, J. J. McCarthy, and J. M. Ottino, Proc. Natl. Acad. Sci. U.S.A. 96, 11701 (1999).
- J. M. N. T. Gray and A. R. Thornton, Proc. R. Soc. London, Ser. A 461, 1447 (2005); A. R. Thornton, J. M. N. T. Gray, and A. J. Hogg, J. Fluid Mech. 550, 1 (2006).
- K. M. Hill, N. Jain, and J. M. Ottino, Phys. Rev. E 64, 011302 (2001).
- I. Zuriguel, J. M. N. T. Gray, J. Peixinho, and T. Mullin, Phys. Rev. E 73, 061302 (2006).
- S. W. Meier, D. A. M. Barreiro, J. M. Ottino, and R. M. Lueptow, Nat. Phys. 4, 244 (2008).
- T. Mullin, Phys. Rev. Lett. 84, 4741 (2000).