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
[11]   Spontaneous stratification in granular mixtures [J].
Makse, HA ;
Havlin, S ;
King, PR ;
Stanley, HE .
NATURE, 1997, 386 (6623) :379-382
[12]  
May L., 2010, J NONLINEAR SCI, V20, P1
[13]  
MiDi GDR, 2004, EUR PHYS J E, V14, P341, DOI [10.1140/epje/i2003-10153-0, 10.1140/epje/i2004-10022-4]
[14]   Brazil-nut effect -: Size separation of granular particles [J].
Möbius, ME ;
Lauderdale, BE ;
Nagel, SR ;
Jaeger, HM .
NATURE, 2001, 414 (6861) :270-270
[15]  
NAYLOR MA, 1980, J SEDIMENT PETROL, V50, P1111
[16]  
Nityanand N., 1986, METALLURG T B, V17B, P257
[17]  
Rognon P.G., 2007, Phys. Fluids, P19
[18]   PARTICLE-SIZE SEGREGATION IN INCLINED CHUTE FLOW OF DRY COHESIONLESS GRANULAR SOLIDS [J].
SAVAGE, SB ;
LUN, CKK .
JOURNAL OF FLUID MECHANICS, 1988, 189 :311-335
[19]   Granular flow down an inclined plane: Bagnold scaling and rheology [J].
Silbert, L.E. ;
Ertas¸, D. ;
Grest, G.S. ;
Halsey, T.C. ;
Levine, D. ;
Plimpton, S.J. .
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2001, 64 (5 I) :1-051302
[20]   CELLULAR AUTOMATA AS AN ALTERNATIVE TO (RATHER THAN AN APPROXIMATION OF) DIFFERENTIAL-EQUATIONS IN MODELING PHYSICS [J].
TOFFOLI, T .
PHYSICA D, 1984, 10 (1-2) :117-127