Introduction To Physical Gas Dynamics

Title Page
Colophon
Dedication
Preface
Acknowledgments
Contents
Chapter I: Introductory Kinetic Theory
1 Introduction
2 Molecular Model
3 Pressure, Temperature, And Internal Energy
4 Mean Free Path
5 Transport Phenomena
6 Molecular Magnitudes
Chapter II: Equilbrium Kinetic Theory
1 Introduction
2 Velocity Distribution Function
3 Equation Of State For A Perfect Gas
4 Maxwellian Distribution--Condition For Equilibrium
5 Maxwellian Distribution--Final Results
6 Collision Rate And Mean Free Path
7 Chemical Equilibrium And The Law Of Mass Action
Chapter III: Chemical Thermodynamics
1 Introduction
2 Thermodynamic Systems And Kinds Of Equilibrium
3 Conservation Of Mass
4 Conservation Of Energy: First Energy
5 The Second Law
6 The Gibbs Equation For A Chemically Reacting System
7 Entropy Production In Chemical Nonequilibrium: Condition For Reaction Equilibrium
8 Mixtures Of Perfect Gases
9 Law Of Mass Action
10 Heat Of Reaction: Van't Hoff's Equation
Chapter IV: Statistical Mechanics
1 Introduction
2 Macroscopic And Microscopic Descriptions
3 Quantum Energy States
4 Enumeration Of Microstates
Bose-Einstein Statistics
Fermi-Dirac Statistics
5 Distribution Over Energy States--General Case
6 Distribution Over Energy States--Limiting Case
7 Relation To Thermodynamics: Boltzmann's Relation
8 Thermodynamic Properties
9 Properties Associated With Translational Energy
10 Contribution Of Internal Structure
11 Monatomic Gases
12 Diatomic Gases
13 Chemically Reacting Systems And Law Of Mass Action
14 Dissociation-Recombination Of Symmetrical Diatomic Gas
Chapter V: Equilibrium Gas Properties
1 Introduction
2 Symmetrical Diatomic Gas
3 Ideal Dissociating Gas
4 Ionization Equilibrium: The Saha Equation
5 Mixture of Gases
6 Properties Of Equilibrium Air
Chapter VI: Equilibrium Flow
1 Introduction
2 Steady Shock Waves
3 Steady Nozzle Flow
4 Prandtl-Meyer Flow
5 Frozen Flow
Chapter VII: Vibrational And Chemical Rate Processes
1 Introduction
2 Vibrational Rate Equation
3 Entropy Production By Vibrational Nonequilibrium
4 Chemical Rate Equations--General Considerations
5 Energy Involved In Collisions
6 Rate Equation For Dissociation-Recombination Reactions
7 Rate Equation For Complex Mixtures
8 High-Temperature Air
9 Symmetrical Diatomic Gas: Ideal Dissociating Gas
10 Generalized Rate Equation
11 Local Relaxation Time: Small Departures From Equilibrium
Chapter VIII: Flow With Vibrational Or Chemical Nonequilibrium
1 Introduction
2 Basic Nonlinear Equations
3 Equilibrium And Frozen Flow
4 Acoustic Equations
5 Frozen And Equilibrium Speeds Of Sound
6 Propagation Of Plane Acoustic Waves
7 Equation For Small Departures From A Uniform Free Stream
8 Flow Over A Wavy Wall
9 Linearized Flow Behind A Normal Shock Wave
10 Equations For Steady Quasi-One-Dimensional Flow
11 Nonlinear Flow Behind A Normal Shock Wave
12 Fully Dispersed Shock Wave
13 Nozzle Flow
14 Method Of Characteristics
15 Supersonic Flow Over A Concave Corner
16 Supersonic Flow Over A Convex Corner
Chapter IX: Nonequilibrium Kinetic Theory
1 Introduction
2 The Conservation Equations Of Gas Dynamics
3 The Boltzmann Equation
4 Equilibrium And Entropy
5 The Equations Of Equilibrium Flow
6 Moments Of The Boltzmann Equation
7 Dynamics Of A Binary Collision
8 The Evaluation Of Collision Cross-Sections
9 The Evaluation Of Collision Integrals
10 Gas Mixtures
Chapter X: Flow With Translational Nonequilibrium
1 Introduction
2 The Bhatnagar-Gross-Krook Collision Model
3 The Chapman-Enskog Solution Of The Krook Equation
4 The Chapman-Enskog Solution Of The Bolzmann Equation
5 The Navier-Stokes Equations
6 Expansion In Sonine Polynomials
7 Transport Properties
8 Bulk Viscosity
9 The Structure of Shock Waves
10 Linearized Couette Flow
Chapter XI: Radiative Transfer In Gases
1 Introduction
2 Energy Transfer By Radiation
3 The Equation Of Radiative Transfer
4 Radiative Equilibrium
5 The Interaction Of Radiation With Solid Surfaces
6 Emission And Absorption Of Radiation
7 Quasi-Equilibrium Hypthesis
8 Formal Solution Of The Equation Of Radiative Transfer
9 Simplifications And Approximations
Chapter XII: Flow With Radiative Nonequilibrium
1 Introduction
2 Basic Nonlinear Equations
3 Asymptotic Situations: Grey-Gas Approximation
4 One-Dimensional Equations
5 Linearized One-Dimensional Equations
6 Differential Approximation
7 Acoustic Equation
8 Propagation Of Plane Acoustic Waves
9 Equation For Small Departures From A Uniform Free Stream
10 Linearized Flow Through A Normal Shock Value
11 Nonlinear Flow Through A Normal Shock Value
Appendix
1 Definite Integrals
2 Fundamental Physical Constants
3 Physical Constants For Constituents Of Air
Subject Index
Symbol Index