DEM simulation of a 3D vertical vibratory screening process: The study of a simulated woven‐mesh structure

A discrete-element method (DEM) was applied to analyze the complicated phenomena of granular screening using different plate-, bead-, and woven-mesh structures. In the past, mesh structures have often been simplified as plate or bead structures in screening-process simulations, resulting in large differences between the simulated and experimental sieving rate. Here, a mesh-type, 3D woven structure was accurately modeled, and the simulated sieving process yielded results more closely resembling the experimental process. The woven-mesh model constructed of sine and cosine functions was also used to assess the effect of the structures on the sieving rate and mesh-blocking phenomena, i.e., cohesionless particles plugging the mesh. By monitoring the in situ blocking conditions in the discrete-element method simulation, cohesionless particles with diameters of 1.1w (where w is the size of the aperture) were found to block the most mesh apertures. The large difference in sieving rates observed when separating particles with sizes of 0.7w and 1.1w and those of 0.9w and 1.1w resulted from the differing degree of freedom for the smaller particles to move to the bottom of the bed. The 0.7w particles were more able to move downward in the bed and be sieved out, leading to a higher sieving rate as compared to those with 0.9w diameters. The significant factors and phenomena of the sieving process, such as particle–mesh and particle–particle interactions, instantaneous mesh-blocking, and the intrinsic motion of the granular bed, which cannot be observed experimentally, can be modeled by the DEM simulation using our 3D woven-mesh model. © 2010 American Institute of Chemical Engineers AIChE J, 2011

[1]  Yoshinobu Morikawa,et al.  LDV measurements of an air–-solid two-phase flow in a horizontal pipe , 1982, Journal of Fluid Mechanics.

[2]  H. Jaeger,et al.  Physics of the Granular State , 1992, Science.

[3]  Denis Blackmore,et al.  A perspective on vibration-induced size segregation of granular materials , 2002 .

[4]  Fernando J. Muzzio,et al.  Simulation and experiments of mixing and segregation in a tote blender , 2005 .

[5]  Yutaka Tsuji,et al.  Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe , 1992 .

[6]  Herrmann,et al.  Convection cells in vibrating granular media. , 1992, Physical review letters.

[7]  M. Nakagawa,et al.  Non-invasive measurements of granular flows by magnetic resonance imaging , 1993 .

[8]  C. Brennen,et al.  Vertical Vibration of a Deep Bed of Granular Material in a Container , 1996 .

[9]  T. Akiyama,et al.  Control parameter in granular convection , 1998 .

[10]  S. Hsiau,et al.  Density effect of binary mixtures on the segregation process in a vertical shaker , 2002 .

[11]  A. Rosato,et al.  Convection related phenomena in granular dynamics simulations of vibrated beds , 1997 .

[12]  S. Hsiau,et al.  Motion state transitions in a vibrated granular bed , 1998 .

[13]  S. Hsiau,et al.  Segregation phenomena in a shaker , 1997 .

[14]  Colin Webb,et al.  Discrete particle motion on sieves—a numerical study using the DEM simulation , 2003 .

[15]  S. Hsiau,et al.  Convection cells and segregation in a vibrated granular bed , 2002 .

[16]  Shu-San Hsiau,et al.  Simulation study of the convection cells in a vibrated granular bed , 2000 .

[17]  Remko M. Boom,et al.  Granular mixing and segregation in a horizontal rotating drum: A simulation study on the impact of rotational speed and fill level , 2008 .

[18]  Peter Eberhard,et al.  Comparison between two different mesh descriptions used for simulation of sieving processes , 2008 .

[19]  Atsuko Shimosaka,et al.  Estimation of the Sieving Rate of Powders Using Computer Simulation , 1998 .

[20]  Martin Ostoja-Starzewski,et al.  Particle sieving in a random fiber network , 2000 .

[21]  C. H. Chen,et al.  Granular convection cells in a vertical shaker , 2000 .

[22]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[23]  Chun Kit Wong,et al.  Pneumatic conveying of granular solids in horizontal and inclined pipes , 2004 .

[24]  G S Karczmar,et al.  Granular Convection Observed by Magnetic Resonance Imaging , 1995, Science.

[25]  Knight,et al.  Density relaxation in a vibrated granular material. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[26]  Eiichi Fukushima,et al.  Velocity and concentration measurements of suspensions by nuclear magnetic resonance imaging , 1991 .

[27]  Taguchi,et al.  New origin of a convective motion: Elastically induced convection in granular materials. , 1992, Physical review letters.