Introduction To Physical Gas Dynamics

Description

This book is the outgrowth of a series of courses developed and introduced to instruct students in the general features of high-temperature and nonequilibrium gas flows. The aim is to bring students to the point where they can understand more advanced treatises in the relevant sciences, as well as the pertinent research literature in 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