Segregation-driven organization in chaotic granular flows

被引:137
作者
Hill, KM [1 ]
Khakhar, DV [1 ]
Gilchrist, JF [1 ]
McCarthy, JJ [1 ]
Ottino, JM [1 ]
机构
[1] Northwestern Univ, RR McCormick Sch Engn & Appl Sci, Evanston, IL 60208 USA
关键词
D O I
10.1073/pnas.96.21.11701
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
An important industrial problem that provides fascinating puzzles in pattern formation is the tendency for granular mixtures to de-mix or segregate. Small differences in either size or density lead to flow-induced segregation. Similar to fluids, noncohesive granular materials can display chaotic advection; when this happens chaos and segregation compete with each other, giving rise to a wealth of experimental outcomes. Segregated structures, obtained experimentally, display organization in the presence of disorder and are captured by a continuum flow model incorporating collisional diffusion and density-driven segregation. Under certain conditions, structures never settle into a steady shape. This may be the simplest experimental example of a system displaying competition between chaos and order.
引用
收藏
页码:11701 / 11706
页数:6
相关论文
共 29 条
  • [11] Simple lessons from complexity
    Goldenfeld, N
    Kadanoff, LP
    [J]. SCIENCE, 1999, 284 (5411) : 87 - 89
  • [12] HASHIMOTO H, 1985, T JAPAN SOC CIV ENG, V15, P282
  • [13] HILBORN HC, 1994, CHAOS NONLINEAR SYST
  • [14] REVERSIBLE AXIAL SEGREGATION OF ROTATING GRANULAR MEDIA
    HILL, KM
    KAKALIOS, J
    [J]. PHYSICAL REVIEW E, 1995, 52 (04): : 4393 - 4400
  • [15] Bulk segregation in rotated granular material measured by magnetic resonance imaging
    Hill, KM
    Caprihan, A
    Kakalios, J
    [J]. PHYSICAL REVIEW LETTERS, 1997, 78 (01) : 50 - 53
  • [16] Radial segregation of granular mixtures in rotating cylinders
    Khakhar, DV
    McCarthy, JJ
    Ottino, JM
    [J]. PHYSICS OF FLUIDS, 1997, 9 (12) : 3600 - 3614
  • [17] Transverse flow and mixing of granular materials in a rotating cylinder
    Khakhar, DV
    McCarthy, JJ
    Shinbrot, T
    Ottino, JM
    [J]. PHYSICS OF FLUIDS, 1997, 9 (01) : 31 - 43
  • [18] Chaotic mixing of granular materials in two-dimensional tumbling mixers
    Khakhar, DV
    McCarthy, JJ
    Gilchrist, JF
    Ottino, JM
    [J]. CHAOS, 1999, 9 (01) : 195 - 205
  • [19] Mixing and segregation of granular materials in chute flows
    Khakhar, DV
    McCarthy, JJ
    Ottino, JM
    [J]. CHAOS, 1999, 9 (03) : 594 - 610
  • [20] KOEPPE JP, 1998, PHYS REV E, V58, P4104