Discrete Element Modelling of Particulate Media (Special Publication, 339, Band 339) - Hardcover

Hardcover

ISBN 10: 1849733600 ISBN 13: 9781849733601

Verlag: ROYAL SOCIETY OF CHEMISTRY, 2012

Inhaltsangabe

Discrete Element Methods (DEM) is a numerical technique for analysing the mechanics and physics of particulate systems. Originated in the late seventies for analysing geotechnical problems, it has seen significant development and is now employed extensively across disciplines. Produced in celebration of the 70th Birthday of Colin Thornton, this book contains a selection of papers concerning advances in discrete element modelling which were presented at the International Symposium on Discrete Element Modelling of Particulate Media held at Birmingham, UK on 28-30th March, 2012. The book showcases the wide application of discrete element modelling in gas-solid fluidisation, particulate flows, liquid-solid systems and quasi-static behaviour. It also reports the recent advancement in coupled DEM with computational fluid dynamics, Lattice Boltzmann Methods for multiphase systems and the novel application of DEM in contact electrification and fracture of granular systems. Aimed at research communities dealing with this technique in the powder handling and formulation industries, this will be a welcomed addition to the literature in this area.

Über diesen Titel

Über die Autorin bzw. den Autor

Chuan-Yu (Charley) Wu is a senior lecturer at the School of Chemical Engineering at University of Birmingham and has research interests in understanding and modelling the behaviour of particulate materials during the manufacturing processes for pharmaceutical and other particulate products at microscopic and macroscopic levels. In particular, he is interested in developing models for predicting the properties of products based on the properties of particles and individual constituents.

Von der hinteren Coverseite

Discrete Element Methods (DEM) is a numerical technique for analysing the mechanics and physics of particulate systems. Originated in the late seventies for analysing geotechnical problems, it has seen significant development and is now employed extensively across disciplines. Produced in celebration of the 70th Birthday of Colin Thornton, this book contains a selection of papers concerning advances in discrete element modelling which were presented at the International Symposium on Discrete Element Modelling of Particulate Media held at Birmingham, UK on 28-30th March, 2012. The book showcases the wide application of discrete element modelling in gas-solid fluidisation, particulate flows, liquid-solid systems and quasi-static behaviour. It also reports the recent advancement in coupled DEM with computational fluid dynamics, Lattice Boltzmann Methods for multiphase systems and the novel application of DEM in contact electrification and fracture of granular systems. Aimed at research communities dealing with this technique in the powder handling and formulation industries, this will be a welcomed addition to the literature in this area.

Auszug. © Genehmigter Nachdruck. Alle Rechte vorbehalten.

Discrete Element Modelling of Particulate Media

By Chuan-Yu Wu

The Royal Society of Chemistry

Copyright © 2012 The Royal Society of Chemistry
All rights reserved.

ISBN: 978-1-84973-360-1

Contents

Two-Phase Systems, 
FROM SINGLE PARTICLE DRAG FORCE TO SEGREGATION IN FLUIDISED BEDS A. Di Renzo and F. P. Di Maio, 3, 
ENHANCING THE CAPACITY OF DEM/CFD WITH AN IMMERSED BOUNDARY METHOD C.-Y. Wu and Y. Guo, 10, 
EFFECT OF SOLID AND LIQUID HEAT CONDUCTIVITIES ON TWO-PHASE HEAT AND FLUID FLOWS T. Tsutsumi, S. Takeuchi and T. Kajishima, 21, 
GRAVITATIONAL SEDIMENTATION AND SEPARATION OF PARTICLES IN A LIQUID: A 3D DEM/CFD STUDY L. Qiu and C.-Y. Wu, 30, 
DEM SIMULATION OF MIGRATION PHENOMENA IN SLOW, DENSE SLURRY FLOW WITH BROWNIAN MOTION EFFECTS M.A. Koenders, M. Ibrahim and S. Vahid, 39, 
FORCE EVALUATION FOR BINGHAM FLUIDS USING MULTIPLE-RELAXATION-TIME LATTICE BOLTZMANN MODEL S. Chen, Q. Sun and F. Jin, 46, 
THE EFFECT OF INITIAL BED HEIGHT ON THE BEHAVIOUR OF A SOIL BED DUE TO PIPE LEAKAGE USING THE COUPLED DEM-LBM TECHNIQUE X. Cui, J. Li, A.H.C. Chan and D. Chapman, 51, 
GRANULAR FLOWS IN FLUID K. Kumar, K. Soga and J.-Y. Delenne, 59, 
Cohesive Systems, 
A STUDY OF THE INFLUENCE OF SURF ACE ENERGY ON THE MECHANICAL PROPERTIES OF LUNAR SOIL USING DEM C. Modenese, S. Utili and G.T. Houlsby, 69, 
MODELLING OF THE CONT ACT BEHAVIOUR BETWEEN FINE ADHESIVE PARTICLES WITH VISCOUS DAMPING K. Mader and J. Tomas, 76, 
REBOUND OF A PARTICLE FROM A SOLID SURFACE WITH A VISCOUS OR NONLINEAR VISCOELASTIC LIQUID FILM IN THE CONTACT ZONE J. Bowen, D. Cheneler, J.W. Andrews, C-Y. Wu, M.C.L. Ward and M.J. Adams, 86, 
EFFECT OF THE PENDULAR STATE ON THE COLLAPSE OF GRANULAR COLUMNS R. Artoni, F. Gabrieli, A. Santomaso and S. Cola, 95, 
INVESTIGATION OF DYNAMIC BEHAVIOUR OF A PARTICLE-LOADED SINGLE FIBRE USING DISCRETE ELEMENT METHODS M. Yang, S.Q. Li, G. Liu and J. S. Marshall, 103, 
MODELLING OF THE FILTRATION BEHAVIOUR USING COUPLED DEM AND CFD S. Stein and J. Tomas, 113, 
Granular Flows, 
DEM MODELLING OF SUBSIDENCE OF A SOLID PARTICLE IN GRANULAR MEDIA C.H. Goey, C. Pei and C.-Y. Wu, 123, 
NUMERICAL SIMULATION Of THE COLLAPSE OF GRANULAR COLUMNS USING DEM T. Zhao, G.T. Houlsby and S. Utili, 133, 
DEM MODELLING OF THE DIGGING PROCESS OF GRAVEL: INFLUENCE OF PARTICLE ROUNDNESS S. Miyai, T. Katsuo, T. Tsuji, T. Takayama and T. Tanaka, 141, 
DEM MODELLING OF HIGH SPEED DIE FILLING PROCESSES C.-Y. Wu, F. Ogbuagu and C. Pei, 149, 
DEM ANALYSIS OF LOADS ON DISC INSERTS IMMERSED IN GRAIN DURING SILO FILLING AND DISCHARGE R. Kobylka and M. Molenda, 158, 
THREE DIMENSIONAL DEM/CFD ANALYSIS OF SEGREGATION DURING SILO FILLING WITH BINARY MIXTURES OF DIFFERENT PARTICLE SIZES C.-Y. Wu and Y. Guo, 165, 
MODELING PACKING OF SPHERICAL FUEL ELEMENTS IN PEBBLE BED REACTORS USING DEM H. Suikkanen, J. Ritvanen, P. Jalali and R. Kyrki-Rajamaki, 175, 
Quasi-Static Deformation, 
A NUMERICAL INVESTIGATION OF QUASI-STATIC CONDITIONS FOR GRANULAR MEDIA C. Modenese, S. Utili and G.T. Houlsby, 187, 
EXPLORING THE CONTROLLING PARAMETERS AFFECTING SPECIMENS GENERA TED IN A PLUVIATOR USING DEM L. Cui, 196, 
DEM TRIAXIAL TESTS OF A SEABED SAND G. Macaro and S. Utili, 203, 
THE STEADY STATE SOLUTION OF GRANULAR SOLID HYDRODYNAMICS FOR TRIAXIAL COMPRESSIONS S. Song, Q. Sun and F. Jin, 212, 
3D DEM SIMULATIONS OF UNDRAINED TRIAXIAL BEHAVIOUR WITH PRESHEARING HISTORY G. Gong and A.H.C. Chan, 219, 
STRONG FORCE NETWORK OF GRANULAR MIXTURES UNDER ONE-DIMENSIONAL COMPRESSION N.H. Minh and Y.P. Cheng, 227, 
VERIFICATION OF THE DOUBLE SLIP AND ROTATION RATE MODEL FOR ELLIPTICAL GRANULAR FLOW USING THE DISTINCT ELEMENT METHOD L.Q. Li, M.J. Jiang and Z.F. Shen, 236, 
MICROMECHANICS OF SEISMIC WAVE PROPAGATION IN GRANULAR MATERIALS J. O'Donovan, C. O'Sullivan and G. Marketos, 245, 
MICROMECHANICAL STUDY ON SHEAR WAVE VELOCITY OF GRANULAR MATERIALS USING DISCRETE ELEMENT METHODS X. Xu, D. Ling, Y. P. Cheng and Y. Chen, 255, 
MECHANICAL BEHAVIOUR OF METHANE HYDRA TE SOIL SEDIMENTS USING DISCRETE ELEMENT METHOD: PORE-FILLING HYDRATE DISTRIBUTION Y. Yu, Y. P. Cheng and K. Soga, 264, 
ON THE EFFECT OF SOIL MODIFICATION WITH LIME USING GRADING ENTROPY E. Imre, J. Szendefy, J. Lorincz, P.Q. Trang and Vijay P. Singh, 271, 
SUBJECT INDEX, 280, 

CHAPTER 1

FROM SINGLE PARTICLE DRAG FORCE TO SEGREGATION IN FLUIDISED BEDS

A. Di Renzo and F. P. Di Maio

Dipartimento di Ingegneria Chimica e dei Materiali, Università della Calabria Via P. Bucci, Cubo 44A, 1-87036 Rende (CS), Italy

1 INTRODUCTION

In numerical simulations of dense two-phase flow involving particulate materials the Discrete Element Method (DEM) has proved particularly effective in capturing the complex hydrodynamics of the solid phase. DEM-based granular solid dynamics, including collisions and persistent contact with elaborate force-displacement laws, friction and cohesion have shown to be superior to traditional fluid-like, continuum approaches, which typically require coarse approximations and the introduction of artificial variables like solids pressure and viscosity. However, computational limitations of DEM models do not allow adding also the burden of flow simulations resolved at the level of particle-particle interstices, so that typically an averaged scale approach, with computational cell sizes of the order of a few particle diameters, is used. As a consequence, formulations of the drag force acting on individual particles are required to close the set of equations to solve for the solid and fluid phases. While many drag force models for monodisperse systems have been proposed in the literature, as discussed below, expressions for such force on a particle in a multi-particle system is currently the subject of extensive research work.

2 DRAG FORCE AND CLOSURE IN DEM-CFD MODELS

2.1 Momentum exchange and two-way coupling

Characterisation of the relative motion between a fluid and dense particle system by a DEM-CFD approach requires the solution of the averaged equations of motion of the fluid phase and the classical Newton's second law of dynamics for each particle, where the drag force appears explicitly. The fluid flow field is obtained from the solution of the discretised locally averaged continuity and Navier-Stokes equations, which in differential terms are expressed, respectively, as:

[MATHEMATICAL EXPRESSION OMITTED] (1)

[MATHEMATICAL EXPRESSION OMITTED] (2)

where ρf U and P are the fluid density, fluid velocity and pressure, respectively, ε is the volumetric fraction of the fluid (or voidage), τ is the deviatoric stress tensor, S is the fluid-particle inter-phase momentum exchange density and g the acceleration of gravity.

The corresponding equations for each particle of the solid phase follow the conventional DEM approach, i.e.:

[MATHEMATICAL EXPRESSION OMITTED] (3)

[MATHEMATICAL EXPRESSION OMITTED] (4)

where m, V, I, a and a are the particle mass, volume, moment of inertia, linear and angular acceleration, respectively. The forces considered are gravity, contact forces fc, pressure gradient and drag force fd, in the order of appearance in Equation (3). Note that the last two terms arise from the interaction with the fluid. In the rotational direction only torques arising from contact forces are considered.

Interphase coupling is achieved by connecting the momentum exchange density source term S in Equation...

Details zur Ausgabe

• Verlag: ROYAL SOCIETY OF CHEMISTRY
• Erscheinungsdatum: 2012
• Sprache: Englisch
• ISBN 10: 1849733600
• ISBN 13: 9781849733601
• Einband: Gebundene Ausgabe
• Auflage: 1
• Anzahl der Seiten: 292
• Herausgeber: Wu Chuan-Yu
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar