1 Basic Concepts and Scope of the Book
2 Flow of a Single Particle
2.1 Introduction
2.2 Drag Force
2.3 Added Mass Force
2.4 Basset Force
2.5 Lift Forces
2.5.1 Magnus Force
2.5.2 Saffman Force
2.6 Drag Torque
2.7 Brownian Motion
2.8 Rarefied Gases
2.9 Thermophoretic Force
2.10 Convective Heat Exchange
2.11 Radiative Heat Exchange
3 Introduction to Contact and Impact Mechanics
3.1 Introduction
3.2 Normal Contact: Elastic Deformation
3.2.1 Forces Acting on a Surface
3.2.2 Hertz Theory
3.2.3 Collision of Two Particles Modelled by Hertz Theory
3.3 Normal Contact: Dissipation
3.3.1 Introduction
3.3.2 Linear-Spring and Dashpot
3.3.3 Extension of the Linear-Spring-Model to Account for Hertz Theory
3.3.4 Non-Linear Models
3.3.5 Generalization of the Previous Model
3.3.6 Model by Tsuji, Tanaka and Ishida
3.3.7 Viscoelasticity
3.4 Normal Contact: Plastic Deformation
3.4.1 Transition to Plastic Deformation
3.4.2 Model Compiled by Stronge
3.4.3 Model by Johnson
3.4.4 Model by Thornton
3.4.5 Model by Walton and Braun
3.4.6 Other Issues
4 Tangential Contact
4.1 Introduction
4.2 Tangential Loading
4.3 Spherical Particles in Contact
4.4 Collisions Dynamics with Tangential Forces
4.4.1 The Linear-Spring Model
4.4.2 Model by Tsuji, Tanaka and Ishida
4.4.3 Other Works
4.4.4 Example: Use of The Models for Particle-Wall Collision
4.5 The Linear-Spring Model: Analytic Solutions
4.6 Tangential Forces and Dissipation in Normal Direction
4.7 Other Issues
5 Adhesion
5.1 Introduction
5.2 Surface Forces
5.2.1 Forces Between Atoms/Molecules
5.2.2 Forces Between Bodies
5.3 Adhesion Between Bodies
5.3.1 JKR Theory
5.3.2 DMT Theory
5.3.3 Tabor’s Parameter
5.4 Collisions Dynamics with Adhesion
5.5 Collisions Dynamics with Adhesion and Dissipation
5.6 Effect of Roughness
5.7 Other Models
6 Coefficient of Restitution
6.1 Definition
6.2 Experiments
6.2.1 Apparatus
6.2.2 Selected Experimental Results: The Normal Coefficient of Restitution
6.2.3 Tangential Coefficient of Restitution, Particle Size and Adhesive Particles
6.3 Theoretical Relations: Dissipative Forces
6.3.1 Linear-Spring and Dashpot
6.3.2 Hertzian-Spring Model
6.3.3 Non-Linear Dissipative Force
6.3.4 Model by Tsuji, Tanaka and Ishida
6.4 Theoretical Relations: Plastic Deformation
6.4.1 Model by Tabor
6.4.2 Model Compiled by Stronge
6.4.3 Models by Johnson and Thornton
6.4.4 Model by Walton and Braun
6.5 Selected Issue: Granules
6.6 Selected Issue: Collisions of Nanoparticles
7 Heat Conduction Between Particles
7.1 Introduction
7.2 Elastic Collisions
7.3 Model by Ben-Ammar et al.
7.4 Further Extension
8 Hard-Sphere Model
8.1 Introduction
8.2 Hard-Sphere Model: The Main Steps
8.3 Relations for Impulse J
8.4 Summary of The Models
8.5 Extension of The Model to Account for Adhesive Collisions
8.6 Final Relations for The Post-Collisional Velocities
8.7 Agglomeration
8.8 Final Algorithm and Illustration of The Model
8.9 Further Investigation and Experimental Validation
8.10 More Discussion on The Two-Parameter Hard-Sphere Model
for Non-Adhesive Collisions
8.11 Combination With The Soft-Sphere Model for Non-Adhesive
Collisions
9 Discrete Particle Simulations: A Summary of The Model
9.1 Governing Equations
9.2 Collision Detection
9.2.1 Searching For Collisions
9.2.2 Potential Improvement of Algorithm
10 Multiphase Systems
10.1 Volume Fraction and Particle Spacing
10.2 Response Time
10.3 Phase Coupling
10.4 Suspension Viscosity
10.5 Turbulent Dispersion and Preferential Concentration
10.5.1 Background
10.5.2 Numerical and Experimental Results
10.5.3 Preferential Concentration: Quantification
10.6 Particle Size Distribution
10.6.1 Discrete Particle Size Distribution
10.6.2 Continuous Particle Size Distribution
10.7 Collision Frequency and Collision Frequency Function
10.7.1 Relation by Smoluchowski
10.7.2 Relation by Saffman and Turner
10.7.3 Relation by Abrahamson
10.7.4 Relation by Delichatsios and Probstein
10.8 Flows Through a Bed of Particles