Statistical Microhydrodynamics
by
Emmanuil G. Sinaiski - Leonid Zaichik
Covers theory as well as applications and examples relating to particulate flow from the oil and chemical industry. This book examines the elements of microhydrodynamics, Brownian motion, and real liquids in turbulent flow. It is of interest to lecturers in physics, theoretical physicists and chemists, as well as chemical engineers.
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Complete description
Written by experienced practitioners and teachers, this concise and comprehensive treatment on particulate flow covers both the theory as well as applications and examples from the oil and chemical industry. Following a look at the basic concepts of probability theory, the authors goes on to examine the elements of microhydrodynamics, Brownian motion, and real liquids in turbulent flow. This book is of interest to lecturers in physics, theoretical physicists and chemists, as well as chemical engineers.
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General info
Publisher & Imprint:
Wiley-VCH Verlag GmbH
City:
Weinheim
Pages:
506
More info:
height 240 mm
width 170 mm
weight 1120 gr
thickness 30 mm
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Age recommended:
Professional and scholarly
Subject Indexing & Classification
Dewey: 532.5
Library of Congress Subject: Hydrodynamics - Statistical methods
Summary
Statistical Microhydrodynamics
Preface.Nomenclature.1 Basic Concepts of the Probability Theory.1.1 Events, Set of Events, and Probability.1.2 Random Variables, Probability Distribution Function, Average Value, and Variance.1.3 Generalized Functions.1.4 Methods of Averaging.1.5 Characteristic Functions.1.6 Moments and Cumulants of Random Variables.1.7 Correlation Functions.1.8 Bernoulli, Poisson, and Gaussian Distributions.1.9 Stationary Random Functions, Homogeneous Random Fields.1.10 Isotropic Random Fields. Spectral Representation.1.11 Stochastic Processes. Markovian Processes. The Chapman-Kolmogorov Integral Equation.1.12 The Chapman-Kolmogorov, Chapman-Feller, Fokker-Planck, and Liouville Differential Equations.1.12.1 Derivation of the Differential Chapman-Kolmogorov Equation.1.12.2 Discontinuous ("Jump") Processes. The Kolmogorov-Feller Equation.1.12.3 Diffusion Processes. The Fokker-Planck Equation.1.12.4 Deterministic Processes. The Liouville Equation.1.13 Stochastic Differential Equations. The Langevin Equation.1.13.1 The Langevin Equation.1.13.2 The Diffusion Equation.1.13.2.1 The Diffusion Equation with Chemical Reactions Taken into Account.1.13.2.2 Brownian Motion of a Particle in a Hydrodynamic Medium.1.14 Variational (Functional) Derivatives.1.15 The Characteristic Functional.2 Elements of Microhydrodynamics.2.1 Motion of an Isolated Particle in a Quiescent Fluid.2.2 Motion of an Isolated Particle in a Moving Fluid.2.3 Motion of Two Particles in a Fluid.2.3.1 Fluid is at Rest at the Infinity.2.3.2 Fluid is Moving at the Infinity.2.4 Multi-Particle Motion.2.5 Flow of a Fluid Through a Random Bed of Particles.3 Brownian Motion of Particles.3.1 Random Walk of an Isolated Particle.3.1.1 Isotropic Distribution.3.1.2 Gaussian Distribution.3.1.3 An Arbitrary Distribution in the Limiting Case N 1.3.2 Random Walk of an Ensemble of Particles.3.3 Brownian Motion of a Free Particle in a Quiescent Fluid.3.4 Brownian Motion of a Particle in an External Force Field.3.5 The Smoluchowski Equation.3.6 Brownian Motion of a Particle in a Moving Fluid.3.7 Brownian Diffusion with Hydrodynamic Interactions.3.8 Brownian Diffusion with Hydrodynamic Interactions and External Forces.3.8.1 High Peclet Numbers: Peij 1.3.8.2 Small Peclet Numbers, Peij 1.3.9 Particle Sedimentation in a Monodisperse Dilute Suspension.3.10 Particle Sedimentation in a Polydisperse Dilute Suspension, with Hydrodynamic and Molecular Interactions and Brownian Motion of Particles.3.11 Transport Coefficients in Disperse Media.3.11.1 Infinitely Dilute Suspension with Non-interacting Particles.3.11.2 The Influence of Particle Interactions on Transport Coefficients.3.12 Concentrated Disperse Media.4 Turbulent Flow of Fluids.4.1 General Information on Laminar and Turbulent Flows.4.2 The Momentum Equation for Viscous Incompressible Fluids.4.3 The Equations of Heat Inflow, Heat Conduction and Diffusion.4.4 The Conditions for the Beginning of Turbulence.4.5 Hydrodynamic Instability.4.6 The Reynolds Equations.4.7 The Equation of Turbulent Energy Balance.4.8 Isotropic Turbulence.4.9 The Local Structure of Fully Developed Turbulence.4.10 Turbulent Flow Models.4.10.1 Semi-empirical Theories of Turbulence.4.10.2 The Use of Transport Equations.4.11 Use of the Characteristic Functional in the Theory of Turbulence.4.12 Intermittency in a Turbulent Flow.5 Particle Motion in a Turbulent Flow.5.1 The Eulerian and Lagrangian Approaches to the Description of Fluid Flow and Particle Motion.5.2 Lagrangian Statistical Characteristics of Turbulence.5.3 Turbulent Diffusion.5.4 A Semiempirical Model of Turbulent Diffusion.5.5 Models of Two-phase Disperse Turbulent Flows.5.6 Deposition of Particles from a Turbulent Flow.5.7 Interaction of Particles in a Turbulent Flow.5.8 Chemical Reactions in a Turbulent Flow.5.8.1 Concepts of Chemical Kinetics.5.8.2 Method of Moments.5.8.3 Approximations for Chemical Reaction Rates.5.9 The PDF Method.6 Coagulation and Breakup of Inertialess Particles in a Turbulent Flow.6.1 Kinetic Equations of Coagulation.6.2 Fundamental Features of the Coagulation of Particles.6.3 A Model of Turbulent Diffusion.6.4 Hydrodynamic, Molecular, and Electrostatic Forces.6.5 Conducting Particles in an Electric Field.6.6 Coagulation of Particles in a Turbulent Flow.6.7 Breakup of Particles.7 Motion and Collision of Inertial Particles in a Turbulent Flow.7.1 Motion of Particles without Mutual Collisions.7.2 Motion of Particles with Mutual Collisions.7.3 Frequency of Collisions of Particles.7.4 Preferential Concentration of Particles in Isotropic Turbulence.Author Index.Subject Index.
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