Statistical Microhydrodynamics

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 goe on to examine the elements of microhydrodynamics, Brownian motion, and real liquids in turbulent flow.Of interest for lecturers in physics, theoretical physicists and chemists, as well as chemical engineers.

Emmanuil G. Sinaiski completed the Lomonossow-State University, Moscow, Russia, where he obtained his PhD in physics and mathematics. He received a 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 published numerous books and scientific articles, among them 'Separation of Mulitphase, Mulitcomponent Systems' published in 2007 by Wiley-VCH. His fields of interest are applied mathematics, fluid mechanics, physicochemical hydrodynamics, chemical and petroleum engineering.

Leonid I. Zaichik studied at the Moscow Power Engineering Institute, Russia and graduated with a Diploma of Higher Education in Thermophysics in 1971. He received his PhD in Engineering Sciences from the Krzhihanovsky Power Engineering Institute, Moscow, Russia, in 1986. He has been working as an Engineer for the All Union Institute for Current Sources and as Senior Researcher and Head of Laboratory at the Krzhizhanovsky Power Engineering Institute in Moscow. Since 1996 he is Head of the Laboratory of Mathematical Modelling at the Institute for High Temperatures of the Russian Academy of Sciences. Dr. Zaichik is author of two books and more than 300 research papers.

Preface
Nomenclature
Basic Concepts of the Probability Theory
Events, Set of Events, and Probability
Random Variables, Probability Distribution Function, Average Value, and Variance
Generalized Functions
Methods of Averaging
Characteristic Functions
Moments and Cumulants of Random Variables
Correlation Functions
Bernoulli, Poisson, and Gaussian Distributions
Stationary Random Functions, Homogeneous Random Fields
Isotropic Random Fields
Spectral Representation
Stochastic Processes
Markovian Processes
The Chapman-Kolmogorov Integral Equation
The Chapman-Kolmogorov, Chapman-Feller, Fokker-Planck, and Liouville Differential Equations
Derivation of the Differential Chapman-Kolmogorov Equation
Discontinuous ("Jump") Processes
The Kolmogorov-Feller Equation
Diffusion Processes
The Fokker-Planck Equation
Deterministic Processes
The Liouville Equation
Stochastic Differential Equations
The Langevin Equation
The Langevin Equation
The Diffusion Equation
The Diffusion Equation with Chemical Reactions Taken into Account
Strownian Motion of a Particle in a Hydrodynamic Medium
Variational (Functional) Derivatives
The Characteristic Functional
Elements of Microhydrodynamics
Motion of an Isolated Particle in a Quiescent Fluid
Motion of an Isolated Particle in a Moving Fluid
Motion of Two Particles in a Fluid
Fluid is at Rest at the Infinity
Fluid is Moving at the Infinity
Multi-Particle Motion
Flow of a Fluid Through a Random Bed of Particles
Brownian Motion of Particles
Random Walk of an Isolated Particle
Isotropic Distribution
Gaussian Distribution
An Arbitrary Distribution in the Limiting Case N 1
Random Walk of an Ensemble of Particles
Brownian Motion of a Free Particle in a Quiescent Fluid
Brownian Motion of a Particle in an External Force Field
The Smoluchowski Equation
Brownian Motion of a Particle in a Moving Fluid
Brownian Diffusion with Hydrodynamic Interactions
Brownian Diffusion with Hydrodynamic Interactions and External Forces
High Peclet Numbers: Peij 1
Small Peclet Numbers, Peij 1
Particle Sedimentation in a Monodisperse Dilute Suspension
Particle Sedimentation in a Polydisperse Dilute Suspension, with Hydrodynamic and Molecular Interactions and Brownian Motion of Particles
Transport Coefficients in Disperse Media
Infinitely Dilute Suspension with Non-interacting Particles
The Influence of Particle Interactions on Transport Coefficients
Concentrated Disperse Media
Turbulent Flow of Fluids
General Information on Laminar and Turbulent Flows
The Momentum Equation for Viscous Incompressible Fluids
The Equations of Heat Inflow, Heat Conduction and Diffusion
The Conditions for the Beginning of Turbulence
Hydrodynamic Instability
The Reynolds Equations
Table of Contents provided by Publisher. All Rights Reserved.

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Statistical Microhydrodynamics

Summary

Author Biography

Table of Contents

Supplemental Materials