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Collective Dynamics of Particles - From Viscous to Turbulent Flows
of: Cristian Marchioli
Springer-Verlag, 2017
ISBN: 9783319512266 , 134 Pages
Format: PDF, Read online
Copy protection: DRM
Preface
6
Contents
8
Modeling and Simulation of Discrete Particles in Fluid Flow
9
1 Introduction
9
2 Motion of Isolated Particles
10
2.1 Gas--Solid Flows
11
2.2 Liquid--Solid Flows
12
2.3 Effects of Finite Particles Reynolds Number
15
2.4 Lift Forces
18
3 Isolated Particles in Simple Flows
20
4 Force Coupling Method
27
4.1 Stokes Flows
30
4.2 Finite Reyonolds Number Flows
31
5 Applications to Suspension Flows
34
5.1 Particle Settling
34
5.2 Couette Flow
37
6 Comments
42
References
42
Modeling and Simulation of Finite-Size Particles in Turbulence
47
1 Introduction
47
2 Basics of Turbulence
50
3 Numerical Methods for Finite-Size Particles
52
4 Finite-Size Effects of Individual Particles
54
4.1 Slip Velocity
55
4.2 Modification of Turbulence
57
4.3 Drag Force in Turbulent Flows
58
4.4 Sedimenting Particles
62
5 Collective Effects of Finite-Size Particles
62
5.1 Two Interacting Particles
63
5.2 Sedimentation
66
5.3 Turbulence Modulation
68
6 Concluding Remarks
71
References
72
Some Aspects of the Collective Dynamics of Particles in Turbulent Flows
74
1 Introduction
74
1.1 Particles in Turbulence
76
1.2 Some Important Aspects of the Collective Dynamics of Particles in Turbulence
79
2 Turbulent Dispersion of Tracer Particles
81
2.1 The Turbulent Pair Dispersion Problem
81
2.2 Batchelor and Richardson Regimes for Pair Dispersion
83
2.3 A Simple Ballistic Phenomenology of Turbulent Superdiffusion
86
3 Preferential Concentration of Inertial Particles in Turbulence
90
3.1 Diagnostics of Preferential Concentration with Voronoï Tessellation
90
3.2 Main Properties of Preferential Concentration in Turbulence
92
3.3 Origins of Preferential Concentration
96
4 Conclusion
100
References
101
Collective Dynamics of Particles in Viscous Flows with an Emphasis on Slender Rods
105
1 Introduction
105
2 General Principles
106
3 Origins of Collective Dynamics
108
3.1 Chaotic Motion Due to Hydrodynamic Interactions
109
3.2 Irreversibilities Due to Contact Interactions
113
4 Calculating the Motion of Rods
114
4.1 Hydrodynamic Models for Rigid Fibers
114
4.2 Slender Body Equation for a Rigid Rod
116
4.3 Motion of a Slender Rod
119
5 Simulating Rigid Rods
122
5.1 Hydrodynamic Interactions
123
5.2 Solving for the Collective Dynamics
124
5.3 Example Calculation
125
5.4 Slender Body Dynamics
127
5.5 Lubrication
128
5.6 Solving
129
6 Collective Dynamics and Chaos
130
7 Concluding Comments
132
References
132
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