Comparison of DEM results and Lagrangian experimental data for the flow and mixing of granules in a rotating drum

This work assesses the accuracy of the discrete element method (DEM) for the simulation of solids mixing using non-intrusive Lagrangian radioactive particle tracking data, and explains why it may provide physically sound results even when non-real particle properties are used. The simulation results concern the size segregation of polydisperse granules in a rotating drum operated in rolling mode. Given that the DEM is sensitive to simulation parameters, the granule properties were measured experimentally or extracted from the literature. Several flow phenomena are investigated numerically and experimentally, including the particle residence time, the radial segregation, and the radial variation of the axial dispersion coefficient. An analysis of the DEM model is then presented, with an emphasis on the Young's modulus and friction coefficients. Finally, dimensionless motion equations and corresponding dimensionless numbers are derived to investigate the effect of simulation parameters on particle dynamics. © 2013 American Institute of Chemical Engineers AIChE J, 60: 60–75, 2014

[1]  Joseph S. Amstock Handbook of glass in construction , 1997 .

[2]  S. Morris,et al.  Traveling Granular Segregation Patterns in a Long Drum Mixer , 1997, cond-mat/9706288.

[3]  C. Thornton,et al.  Applications of Theoretical Contact Mechanics to Solid Particle System Simulation , 1988 .

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

[5]  Runyu Yang,et al.  DEM simulation of the flow of grinding media in IsaMill , 2006 .

[6]  A Rinzema,et al.  Numerical simulation and PEPT measurements of a 3D conical helical‐blade mixer: A high potential solids mixer for solid‐state fermentation , 2003, Biotechnology and bioengineering.

[7]  Richard M. Lueptow,et al.  PIV for granular flows , 2000 .

[8]  François Bertrand,et al.  Discrete element investigation of flow patterns and segregation in a spheronizer , 2013, Comput. Chem. Eng..

[9]  François Bertrand,et al.  Dynamics of non-spherical particles in a rotating drum , 2013 .

[10]  C. Thornton,et al.  A comparison of discrete element simulations and experiments for ‘sandpiles’ composed of spherical particles , 2005 .

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

[12]  B. T. Chao,et al.  A novel radioactive particle tracking facility for measurement of solids motion in gas fluidized beds , 1985 .

[13]  Agba D. Salman,et al.  An experimental study of the elastic rebound of spheres , 2001 .

[14]  Julio M. Ottino,et al.  Continuum model of mixing and size segregation in a rotating cylinder: concentration-flow coupling and streak formation , 2001 .

[15]  J. Chaouki,et al.  A measure of mixing from Lagrangian tracking and its application to granular and fluid flow systems , 2008 .

[16]  Richard M. Lueptow,et al.  An experimental study of the flowing granular layer in a rotating tumbler , 2002 .

[17]  Jochen Mellmann,et al.  The transverse motion of solids in rotating cylinders—forms of motion and transition behavior , 2001 .

[18]  J. Chaouki,et al.  A γ-ray detection system for 3-D particle tracking in multiphase reactors , 1994 .

[19]  Masami Nakagawa,et al.  Steady particulate flows in a horizontal rotating cylinder , 1998 .

[20]  Stuart A. Scott,et al.  Axial dispersion of granular material in horizontal rotating cylinders , 2010 .

[21]  J. Chaouki,et al.  Development of a granular normal contact force model based on a non-Newtonian liquid filled dashpot , 2013 .

[22]  Michel Y. Louge,et al.  Measurements of the collision properties of small spheres , 1994 .

[23]  A. Yu,et al.  Rolling friction in the dynamic simulation of sandpile formation , 1999 .

[24]  J. Ooi,et al.  Experiments and simulations of direct shear tests: porosity, contact friction and bulk friction , 2008 .

[25]  Paulo R. A. Campos,et al.  Pathogen genetic variation in small-world host contact structures , 2006 .

[26]  Tomohiro Iwasaki,et al.  Analysis of collision energy of bead media in a high-speed elliptical-rotor-type powder mixer using the discrete element method , 2001 .

[27]  François Bertrand,et al.  Large-scale numerical investigation of solids mixing in a V-blender using the discrete element method , 2008 .

[28]  David Ruelle,et al.  A MEASURE ASSOCIATED WITH AXIOM-A ATTRACTORS. , 1976 .

[29]  C. González-Montellano,et al.  Validation and experimental calibration of 3D discrete element models for the simulation of the discharge flow in silos , 2011 .

[30]  François Bertrand,et al.  An extended radioactive particle tracking method for systems with irregular moving boundaries , 2008 .

[31]  Aibing Yu,et al.  Simulated and measured flow of granules in a bladed mixer—a detailed comparison , 2001 .

[32]  David Parker,et al.  Nonmedical applications of a positron camera , 1991 .

[33]  M. Kraume,et al.  Influence of the wall structure on the void fraction distribution in packed beds , 2012 .

[34]  Julio M. Ottino,et al.  A dynamical systems approach to mixing and segregation of granular materials in tumblers , 2007 .

[35]  Jamal Chaouki,et al.  Axial dispersion in the three-dimensional mixing of particles in a rotating drum reactor , 2003 .

[36]  J. Chaouki,et al.  Experimental characterization of the chaotic dynamics of cohesionless particles: application to a V-blender , 2008 .

[37]  Harald Kruggel-Emden,et al.  A study on tangential force laws applicable to the discrete element method (DEM) for materials with viscoelastic or plastic behavior , 2008 .

[38]  Jennifer S. Curtis,et al.  Some computational considerations associated with discrete element modeling of cylindrical particles , 2012 .

[39]  J. Kakalios,et al.  Reversible axial segregation of rotating granular media , 1995 .

[40]  R. E. Bolz,et al.  CRC Handbook of tables for Applied Engineering Science , 1970 .

[41]  François Bertrand,et al.  Characterization of Mixing and Size Segregation in a Rotating Drum by a Particle Tracking Method , 2013 .

[42]  Zenon Mróz,et al.  Discrete-particle investigation of friction effect in filling and unsteady/steady discharge in three-dimensional wedge-shaped hopper , 2008 .

[43]  A. Yu,et al.  Microdynamic analysis of particle flow in a horizontal rotating drum , 2003 .

[44]  J. Baxter,et al.  Granular dynamics simulations of two-dimensional heap formation , 1997 .

[45]  The maximum thickness of upper shear layers of granular materials in rotating cylinders , 2005 .

[46]  B. Emadi,et al.  Determination of the Modulus of Elasticity in Agricultural Seeds on the Basis of Elasticity Theory , 2011 .

[47]  François Bertrand,et al.  An experimental investigation of effusivity as an indicator of powder blend uniformity , 2008 .

[48]  R. Rowe,et al.  1 The mechanical properties of powders , 1995 .

[49]  J M Ottino,et al.  Axial band scaling for bidisperse mixtures in granular tumblers. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[50]  Wolfgang Losert,et al.  Understanding the dynamics of segregation bands of simulated granular material in a rotating drum , 2004 .

[51]  P. Lacey,et al.  Developments in the theory of particle mixing , 2007 .

[52]  Xiaoyan Liu,et al.  Analytical solution for the rolling-mode granular motion in rotary kilns , 2006 .

[53]  Jpk Seville,et al.  Positron emission particle tracking studies of spherical particle motion in rotating drums , 1997 .

[54]  Ann-Sofie Persson,et al.  An experimental evaluation of the accuracy to simulate granule bed compression using the discrete element method , 2012 .

[55]  Paul Zulli,et al.  An experimental and numerical study of the angle of repose of coarse spheres , 2002 .

[56]  Soon Keat Tan,et al.  Application of incomplete similarity theory for estimating maximum shear layer thickness of granular flows in rotating drums , 2011 .

[57]  J. K. Brimacombe,et al.  Experimental study of transverse bed motion in rotary kilns , 1983 .

[58]  Paul W. Cleary,et al.  Comparative study by PEPT and DEM for flow and mixing in a ploughshare mixer , 2012 .

[59]  Heinrich M. Jaeger,et al.  FORCE DISTRIBUTION IN A GRANULAR MEDIUM , 1998 .

[60]  Troy Shinbrot,et al.  Experimentally validated computations of flow, mixing and segregation of non-cohesive grains in 3D tumbling blenders , 2000 .

[61]  F J Muzzio,et al.  Sampling and characterization of pharmaceutical powders and granular blends. , 2003, International journal of pharmaceutics.

[62]  A. Caprihan,et al.  Effects of end wall friction in rotating cylinder granular flow experiments , 2005 .

[63]  Wolfgang Losert,et al.  On axial segregation in a tumbler: an experimental and numerical study , 2006 .

[64]  Jpk Seville,et al.  Segregation of granular flow in the transverse plane of a rolling mode rotating drum , 2002 .

[65]  Harald Kruggel-Emden,et al.  Review and extension of normal force models for the Discrete Element Method , 2007 .

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

[67]  Andy Ingram,et al.  and Radial Dispersion in Rolling Mode Rotating Drums , 2005 .

[68]  Masayuki Horio,et al.  Numerical analysis of particle mixing characteristics in a single helical ribbon agitator using DEM simulation , 2000 .

[69]  G. A. Kohring Studies of diffusional mixing in rotating drums via computer simulations , 1995 .

[70]  Jpk Seville,et al.  Solids motion in rolling mode rotating drums operated at low to medium rotational speeds , 2001 .

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

[72]  Masami Nakagawa,et al.  Boundary effects on the angle of repose in rotating cylinders , 1998 .

[73]  Richard M. Lueptow,et al.  Onset mechanism for granular axial band formation in rotating tumblers. , 2010, Physical review letters.

[74]  D. Bideau,et al.  Radial Segregation in a 2d Drum: An Experimental Analysis , 1995 .

[75]  C. González-Montellano,et al.  Discrete element modelling of grain flow in a planar silo: influence of simulation parameters , 2011 .

[76]  Gerald H. Ristow,et al.  Radial segregation in a two-dimensional rotating drum , 1997 .

[77]  François Bertrand,et al.  Comparative study of the mixing of free-flowing particles in a V-blender and a bin-blender , 2007 .