Language: English
Pages: 320
Particles in Turbulent Flows......Page 2
Contents......Page 8
Preface......Page 12
Introduction......Page 16
1.1 Characteristics of Homogeneous Isotropic Turbulence......Page 24
1.2 Motion of a Single Particle and Heat Exchange......Page 34
1.3 Velocity and Temperature Correlations in a Fluid along the Inertial Particle Trajectories......Page 36
1.4 Velocity and Temperature Correlations for Particles in Stationary Isotropic Turbulence......Page 50
1.5 Particle Acceleration in Isotropic Turbulence......Page 58
2 Motion of Particles in Gradient Turbulent Flows......Page 62
2.1 Kinetic Equation for the Single-Point PDF of Particle Velocity......Page 63
2.2 Equations for Single-Point Moments of Particle Velocity......Page 70
2.3 Algebraic Models of Turbulent Stresses......Page 75
2.3.1 Solution of the Kinetic Equation by the Chapman–Enskog Method......Page 76
2.3.2 Solution of the Equation for Turbulent Stresses by the Iteration Method......Page 81
2.4 Boundary Conditions for the Equations of Motion of the Disperse Phase......Page 85
2.5 Second Moments of Velocity Fluctuations in a Homogeneous Shear Flow......Page 97
2.6.1 Near-Wall Region Including the Viscous Sublayer......Page 110
2.6.2 The Equilibrium Logarithmic Layer......Page 114
2.6.3 High-Inertia Particles......Page 118
2.7 Motion of Particles in a Vertical Channel......Page 119
2.8 Deposition of Particles in a Vertical Channel......Page 130
3.1 The Kinetic Equation for the Joint PDF of Particle Velocity and Temperature......Page 138
3.2 The Equations for Single-Point Moments of Particle Temperature......Page 146
3.3.1 Solution of the Kinetic Equation by the Chapman–Enskog Method......Page 150
3.3.2 Solving the Equation for Turbulent Heat Fluxes by the Iteration Method......Page 153
3.4 Second Moments of Velocity and Temperature Fluctuations in a Homogeneous Shear Flow......Page 155
4 Collisions of Particles in a Turbulent Flow......Page 160
4.1 Collision Frequency of Monodispersed Particles in Isotropic Turbulence......Page 161
4.2 Collision Frequency in the Case of Combined Action of Turbulence and the Average Velocity Gradient......Page 172
4.3 Particle Collisions in an Anisotropic Turbulent Flow......Page 174
4.4 Boundary Conditions for the Disperse Phase with the Consideration of Particle Collisions......Page 182
4.5 The Effect of Particle Collisions on Turbulent Stresses in a Homogeneous Shear Flow......Page 183
4.6 The Effect of Collisions on Particle Motion in a Vertical Channel......Page 187
5 Relative Dispersion and Clustering of Monodispersed Particles in Homogeneous Turbulence......Page 194
5.1 The Kinetic Equation for the Two-Point PDF of Relative Velocity of a Particle Pair......Page 195
5.2 Equations for Two-Point Moments of Relative Velocity of a Particle Pair......Page 200
5.3 Statistical Properties of Stationary Suspension of Particles in Isotropic Turbulence......Page 203
5.4 Influence of Clustering on Particle Collision Frequency......Page 219
5.5 Relative Dispersion of Two Particles in Isotropic Turbulence......Page 223
5.5.1 Dispersion of Inertialess Particles......Page 225
5.5.2 Dispersion of Inertial Particles......Page 228
6.1 Collision Frequency of Bidispersed Particles in Isotropic Turbulence......Page 232
6.2 Collision Frequency in the Case of Combined Action of Turbulence and Gravity......Page 238
6.3 Collisions of Bidispersed Particles in a Homogeneous Anisotropic Turbulent Flow......Page 240
6.4 Vertical Motion of a Bidispersed Particle Mixture......Page 249
6.5 Equation for the Two-Particle PDF and its Moments......Page 252
6.6 The Clustering Effect and its Inuence on the Collision Frequency of Bidispersed Particles in Isotropic Turbulence......Page 258
References......Page 264
Notation Index......Page 284
Author Index......Page 300
Subject Index......Page 306
