Particles in turbulent flows

The only work available to treat the theory of turbulent flow with suspended particles, this book also includes a section on simulation methods, comparing the model results obtained with the PDF method to those obtained with other techniques, such as DNS, LES and RANS.
Written by experienced scientists with background in oil and gas processing, this book is applicable to a wide range of industries -- from the petrol industry and industrial chemistry to food and water processing.

Author Notes

Emmanuil G. Sinaiski completed the Lomonossow-State University, Moscow, Russia, where he obtained his PhD in physics and mathematics. He received his Dr Eng. Sci. degree in petroleum engineering from Gubkin-State University of Oil&Gas, Moscow, Russia where he was later appointed to a full professorship. Professor Sinaiski has published numerous books and scientific articles, among them 'Separation of Multiphase, Multicomponent Systems' published in 2007 and `Statistical Microhydrodynamics? published in 2008 by Wiley-VCH. His fields of interest are applied mathematics, fluid mechanics, physicochemical hydrodynamics, chemical and petroleum engineering.

Leonid I. Zaichik studied thermophysics at the Moscow Power Engineering Institute and received his PhD in 1976. Thereafter he worked at the Krzhihanovsky Power Engineering Institute and the Institute for High Temperature of the Russian Academy of Sciences, Moscow, Russia. Since 2006 he is head of the Laboratory of Theoretical Hydrodynamics at the Nuclear Safety Institute of the Russian Academy of Sciences and professor at the Moscow Institute of Physics and Technology. His scientific interests are mathematical modelling, turbulence, multiphase flows, aerosol mechanics, hydrodynamic stability, and combustion. He has written five books and over 300 papers.

Vladimir M. Alipchenkov studied nuclear physics at the Moscow Institute of Physics and Technology and received his PhD in 1983. He then worked at the Kurchatov Institute of Atomic Energy and the Electrogorsk Research Center of Nuclear Plants Safety, Moscow, Russia. Since 2000 he is a leading researcher at the Institute for High Temperatures of the Russian Academy of Sciences. His areas of interest include multiphase flows, turbulence, and plasma physics. He has written two books and over 100 papers published in refereed journals.

Preface	p. IX
Introduction	p. XIII
1 Motion of Particles and Heat Exchange in Homogeneous Isotropic Turbulence	p. 1
1.1 Characteristics of Homogeneous Isotropic Turbulence	p. 1
1.2 Motion of a Single Particle and Heat Exchange	p. 11
1.3 Velocity and Temperature Correlations in a Fluid along the Inertial Particle Trajectories	p. 13
1.4 Velocity and Temperature Correlations for Particles in Stationary Isotropic Turbulence	p. 27
1.5 Particle Acceleration in Isotropic Turbulence	p. 35
2 Motion of Particles in Gradient Turbulent Flows	p. 39
2.1 Kinetic Equation for the Single-Point PDF of Particle Velocity	p. 40
2.2 Equations for Single-Point Moments of Particle Velocity	p. 47
2.3 Algebraic Models of Turbulent Stresses	p. 52
2.3.1 Solution of the Kinetic Equation by the Chapman-Enskog Method	p. 53
2.3.2 Solution of the Equation for Turbulent Stresses by the Iteration Method	p. 58
2.4 Boundary Conditions for the Equations of Motion of the Disperse Phase	p. 62
2.5 Second Moments of Velocity Fluctuations in a Homogeneous Shear Flow	p. 74
2.6 Motion of Particles in the Near-Wall Region	p. 87
2.6.1 Near-Wall Region Including the Viscous Sublayer	p. 87
2.6.2 The Equilibrium Logarithmic Layer	p. 91
2.6.3 High-Inertia Particles	p. 95
2.7 Motion of Particles in a Vertical Channel	p. 96
2.8 Deposition of Particles in a Vertical Channel	p. 107
3 Heat Exchange of Particles in Gradient Turbulent Flows	p. 115
3.1 The Kinetic Equation for the Joint PDF of Particle Velocity and Temperature	p. 115
3.2 The Equations for Single-Point Moments of Particle Temperature	p. 123
3.3 Algebraic Models of Turbulent Heat Fluxes	p. 127
3.3.1 Solution of the Kinetic Equation by the Chapman-Enskog Method	p. 127
3.3.2 Solving the Equation for Turbulent Heat Fluxes by the Iteration Method	p. 130
3.4 Second Moments of Velocity and Temperature Fluctuations in a Homogeneous Shear Flow	p. 132
4 Collisions of Particles in a Turbulent Flow	p. 137
4.1 Collision Frequency of Monodispersed Particles in Isotropic Turbulence	p. 138
4.2 Collision Frequency in the Case of Combined Action of Turbulence and the Average Velocity Gradient	p. 149
4.3 Particle Collisions in an Anisotropic Turbulent Flow	p. 151
4.4 Boundary Conditions for the Disperse Phase with the Consideration of Particle Collisions	p. 159
4.5 The Effect of Particle Collisions on Turbulent Stresses in a Homogeneous Shear Flow	p. 160
4.6 The Effect of Collisions on Particle Motion in a Vertical Channel	p. 164
5 Relative Dispersion and Clustering of Monodispersed Particles in Homogeneous Turbulence	p. 171
5.1 The Kinetic Equation for the Two-Point PDF of Relative Velocity of a Particle Pair	p. 172
5.2 Equations for Two-Point Moments of Relative Velocity of a Particle Pair	p. 177
5.3 Statistical Properties of Stationary Suspension of Particles in Isotropic Turbulence	p. 180
5.4 Influence of Clustering on Particle Collision Frequency	p. 196
5.5 Relative Dispersion of Two Particles in Isotropic Turbulence	p. 200
5.5.1 Dispersion of Inertialess Particles	p. 202
5.5.2 Dispersion of Inertial Particles	p. 205
6 Collision and Clustering of Bidispersed Particles in Homogeneous Turbulence	p. 209
6.1 Collision Frequency of Bidispersed Particles in Isotropic Turbulence	p. 209
6.2 Collision Frequency in the Case of Combined Action of Turbulence and Gravity	p. 215
6.3 Collisions of Bidispersed Particles in a Homogeneous Anisotropic Turbulent Flow	p. 217
6.4 Vertical Motion of a Bidispersed Particle Mixture	p. 226
6.5 Equation for the Two-Particle PDF and its Moments	p. 229
6.6 The Clustering Effect and its Influence on the Collision Frequency of Bidispersed Particles in Isotropic Turbulence	p. 235
References	p. 241
Notation Index	p. 261
Author Index	p. 277
Subject Index	p. 283

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