A cellular automaton for segregation during granular avalanches

被引:26
作者
Marks, Benjy [1 ]
Einav, Itai [1 ]
机构
[1] Univ Sydney, Sch Civil Engn, Particles & Grains Lab, Sydney, NSW 2006, Australia
关键词
Granular flow; Cellular automata; Kinetic sieving; segregation; PARTICLE-SIZE SEGREGATION; FLOW; MIXTURES; MODEL;
D O I
10.1007/s10035-010-0247-y
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Segregation is a complex and poorly understood phenomenon that is prevalent in many industrial and natural granular flows. When grains flow down a slope [1-5], are spun in a rotating drum [6-8] or shaken in a box [9], we observe those grains organising into intriguing patterns. Kinetic sieving is the dominant mode of segregation in granular avalanches, where separation of particles occurs according to size. Using a cellular automaton we have modelled kinetic sieving as the swapping of particles in a one-dimensional system. From the cellular automaton we have deduced a continuum model to describe the segregation.
引用
收藏
页码:211 / 214
页数:4
相关论文
共 21 条
[1]  
[Anonymous], 2002, Cambridge Texts in Applied Mathematics, DOI [10.1017/CBO9780511791253, DOI 10.1017/CBO9780511791253]
[2]   CELLULAR AUTOMATA MODELS OF GRANULAR FLOW [J].
BAXTER, GW ;
BEHRINGER, RP .
PHYSICAL REVIEW A, 1990, 42 (02) :1017-1020
[3]  
Bridgwater J., 1971, CHEM ENG RES DES, V49a, P163
[4]  
CIZEAU P, 1998, CONDMAT9809430 ARXIV
[5]   CELLULAR-AUTOMATON MODEL FOR SEGREGATION OF A 2-SPECIES GRANULAR FLOW [J].
FITT, AD ;
WILMOTT, P .
PHYSICAL REVIEW A, 1992, 45 (04) :2383-2388
[6]   A theory for particle size segregation in shallow granular free-surface flows [J].
Gray, JMNT ;
Thornton, AR .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2005, 461 (2057) :1447-1473
[7]   Pattern formation in granular avalanches [J].
Gray, JMNT ;
Hutter, K .
CONTINUUM MECHANICS AND THERMODYNAMICS, 1997, 9 (06) :341-345
[8]   Bulk segregation in rotated granular material measured by magnetic resonance imaging [J].
Hill, KM ;
Caprihan, A ;
Kakalios, J .
PHYSICAL REVIEW LETTERS, 1997, 78 (01) :50-53
[9]   Radial segregation of granular mixtures in rotating cylinders [J].
Khakhar, DV ;
McCarthy, JJ ;
Ottino, JM .
PHYSICS OF FLUIDS, 1997, 9 (12) :3600-3614
[10]   Application of a cellular automaton to simulations of granular flow in silos [J].
Kozicki, J ;
Tejchman, J .
GRANULAR MATTER, 2005, 7 (01) :45-54