THEORY OF MULTICOMPONENT FLUIDS

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Ouvrage 0-387-98380-5 : THEORY OF MULTICOMPONENT FLUIDS
From the Publisher Theory of Multicomponent Fluids is an exposition of the derivation and use of equations of motion for multiphase flow, including bubbly liquids and particle-fluid mixtures. The approach taken is to derive the equations of balance using ensemble averaging. They are the same as those derived from control volume methods. Closure for dispersed flows is discussed, and some fundamental solutions are given. The work focuses on the fundamental aspects of two-phase flow, and is intended to give the reader a background for understanding the dynamics as well as a system of equations that can be used in predictions of the behavior of dispersed two-phase flows. The exposition in terms of ensemble averaging is new, and combining it with the concepts of modern continuum mechanics makes this book unique. The book is intended for engineering, mathematics, and physics researchers, and advanced graduate students working in the field.
Table of Contents
CONTENTS: Introduction
I Preliminaries
1 Models of Reality
2 Continuum Theory
Kinematics
Balance Equations
Balance of Mass
Balance of Momentum
Balance of Moment of Momentum
Balance of Energy
Jump Conditions
Frames, Frame Indifference, Objectivity
Constitutive Equations
Representation Theorems
Thermodynamics
3 Fluids and Soils
Fluids
Inviscid Fluid
Stokes Flow
Solids
Rigid Solids
4 Kinetic Energy
Collision Operator
The H-Theorem
Maxwellian Distribution
Slight Disequilibrium
Dense Gases
5 Classical Theory of Solutions
II Continuum Theory
6 Continuum Balance Equations
Multicomponent Mixtures
Kinematics
Balance Equations
Balance of Mass
Balance of Momentum
Balance of Moment of Momentum
Balance of Energy
Multicomponent Entropy Inequalities
Microscale and Mesoscale Energy Equations
Microscale and Mesoscale Entropy Equations
Temperatures
Energy and Entropy Source Assumptions
7 Mixture Equations
III Averaging Theory
8 Introduction
Local Conservation Equations
Jump Conditions
Summary of the Exact Equation
9 Ensemble Averaging
Results for Ensemble Averaging
Reynolds Rules
Treating Generalized Functions
Characteristic Function Xk
10 Other Averages
Multiparticle Distribution Functions
Statistical Averaging
Computing the Nearest Neighbor Distribution Functions
Time Averaging
Volume Averaging
Gauss and Leibniz Rules for Time and Volume Averaging
Results for Volume Averaging
Desiderata
11 Averaged Equations
Averaging Balance Equations
Definition of Average Variables
Averaged Balance Equations
Jump Conditions
Manipulations
Balance of Fluctuation Kinetic Energy
12 Approaches
IV Modeling
13 Introduction
14 Closure Framework
Completeness of the Formulation
Constitutive Equations
Guiding Principles
Forms for Constitutive Equations
Dispersed Flow Theory
Entropy Restrictions
Microscale Considerations
Mesoscale Considerations
Conclusion
15 Microstructure
Averaging Techniques
Particle Distributions
Cell Model
Some Mathematical Results
Flow Around a Sphere
Microscale Solution
Averages for Inviscid Fluids
Effects of Rotation
Effect of Concentration Gradients
Effect of Particle Velocity Fluctuations
Comparison of Averaging Methods
Viscous Flow Around a Sphere
Interfacial Force and Stresses
Effective Viscosity
Computing Momentum Exchange and Stress
16 Maxwell-Boltzmann Dynamics
Collision Effects
Fluid Velocity Effects
Balance Equations
Correlation Assumptions
Calculated Quantities
17 Interfacial Area
Geometry Models
Bubble Coalescence and Breakup
Evolution of Geometric Statistics
Evolution of Curvature
Average Geometrical Properties
Examples
Coalescence and Breakup
Conclusion
18 Equations of Motion for Dilute Flow
Constitutive Equations
Stress
Reynolds Stress
Interfacial Force
Momentum Sources
Heat Flux
Dispersed Flow Equations of Motion
V Consequences
19 Nature of the Equations
Special Cases of the Equations
Dispersed Equations
The Force on a Sphere Due to Inertia
Viscous Model
Diffusion Model
Sedimentation/Terminal Rise
20 Well Posedness
Formulation
Characteristic Values
The Simplest Model
Effect of Viscosity
Inertial Effects
Summary Observations
21 Solutions for Shearing Flows
Field Equations
Balance Equations
Constitutive Equations
Kinematics and Dynamics of Shearing Flow
Plane Poiseuille Flowplane
Model Emphasizing Viscosity
Separation Processes
22 Wave Dynamics
Introduction
Acoustic Propagation
Special Cases
Volumetric Waves
Kinematic Waves
Characteristics and Linear Stability
Linear Stability
Inlet Step Response
Shock
Rarefaction
Nonlinear Waves
References
Index

Auteur : DREW
Editeur : TELOS
Nombre de pages : 308
Date de publication : 09 1998

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