Orifice jamming of fluid-driven granular flow

被引:50
作者
Lafond, Patrick G. [1 ]
Gilmer, Matthew W. [1 ]
Koh, Carolyn A. [1 ]
Sloan, E. Dendy [1 ]
Wu, David T. [1 ,2 ]
Sum, Amadeu K. [1 ]
机构
[1] Colorado Sch Mines, Ctr Hydrate Res, Dept Chem & Biol Engn, Golden, CO 80401 USA
[2] Colorado Sch Mines, Dept Chem, Golden, CO 80401 USA
来源
PHYSICAL REVIEW E | 2013年 / 87卷 / 04期
关键词
DISCHARGE; SEGREGATION; SIZE;
D O I
10.1103/PhysRevE.87.042204
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The three-dimensional jamming of neutrally buoyant monodisperse, bidisperse, and tridisperse mixtures of particles flowing through a restriction under fluid flow has been studied. During the transient initial accumulation of particles at the restriction, a low probability of a jamming event is observed, followed by a transition to a steady-state flowing backlog of particles, where the jamming probability per particle reaches a constant. Analogous to the steady-state flow in gravity-driven jams, this results in a geometric distribution describing the number of particles that discharge prior to a jamming event. We develop new models to describe the transition from an accumulation to a steady-state flow, and the jamming probability after the transition has occurred. Predictions of the behavior of the geometric distribution see the log-probability of a jam occurring proportionally to (R-2(2) - 1), where R-2 is the ratio of opening diameter to the second moment number average particle diameter. This behavior is demonstrated to apply to more general restriction shapes, and collapses for all mixture compositions for the restriction sizes tested. DOI: 10.1103/PhysRevE.87.042204
引用
收藏
页数:8
相关论文
共 31 条
[11]   Flow Rate of Particles through Apertures Obtained from Self-Similar Density and Velocity Profiles [J].
Janda, Alvaro ;
Zuriguel, Iker ;
Maza, Diego .
PHYSICAL REVIEW LETTERS, 2012, 108 (24)
[12]   Finding bridges in packings of colloidal spheres [J].
Jenkins, Matthew C. ;
Haw, Mark D. ;
Barker, Gary C. ;
Poon, Wilson C. K. ;
Egelhaaf, Stefan U. .
SOFT MATTER, 2011, 7 (02) :684-690
[13]   Segregation in arch formation [J].
Magalhaes, C. F. M. ;
Moreira, J. G. ;
Atman, A. P. F. .
EUROPEAN PHYSICAL JOURNAL E, 2012, 35 (05)
[14]   Catastrophic regime in the discharge of a granular pile [J].
Magalhaes, C. F. M. ;
Moreira, J. G. ;
Atman, A. P. F. .
PHYSICAL REVIEW E, 2010, 82 (05)
[15]   The flow rate of granular materials through an orifice [J].
Mankoc, C. ;
Janda, A. ;
Arevalo, R. ;
Pastor, J. M. ;
Zuriguel, I. ;
Garcimartin, A. ;
Maza, D. .
GRANULAR MATTER, 2007, 9 (06) :407-414
[16]   Cooperativity in sandpiles: statistics of bridge geometries [J].
Mehta, A ;
Barker, GC ;
Luck, JM .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2004,
[17]  
Pournin L, 2007, EUR PHYS J E, V23, P229, DOI [10.1140/epje/i2007-10176-5, 10.1140/ep.je/i2007-10176-5]
[18]   Arching in tapped deposits of hard disks [J].
Pugnaloni, Luis A. ;
Valluzzi, Marcos G. ;
Valluzzi, Lucas G. .
PHYSICAL REVIEW E, 2006, 73 (05)
[19]   General probabilistic approach to the filtration process [J].
Roussel, N. ;
Nguyen, Thi Lien Huong ;
Coussot, P. .
PHYSICAL REVIEW LETTERS, 2007, 98 (11)
[20]   Power-law flow statistics in anisometric (wedge) hoppers [J].
Saraf, Summer ;
Franklin, Scott V. .
PHYSICAL REVIEW E, 2011, 83 (03)