Kinetic Processes in Gases and Plasmas
Free Global Shipping
No minimum orderDescription
Kinetic Processes in Gases and Plasmas provides a survey of studies on transport and chemical kinetic processes in high temperature gases and plasmas. The book is concerned with conditions produced by the interaction of an object with the atmosphere at hypersonic velocities. The text also provides a foundation for the flow field equations which include chemical reactions and other transport processes, and to present in some detail the microscopic considerations underlying these calculations. Chapters are devoted to the discussion of topics such as the molecular theory of transport equations; transport processes in ionized gases; and inelastic energy transfer processes and chemical kinetics. Aerospace engineers, physicists, chemists, and astrophysicists will find the book a good reference material.
Table of Contents
List of Contributors
Preface
I. Introduction to the Molecular-Transport Equations of Dilute Gases
I. Introduction to Statistical Mechanics
II. Relaxation-Time Spectrum
III. Introduction to Transport Equations
IV. Equations of Motion and Kinetic Equations
V. Stochastic Equations and Kinetic Equations
References
II. Derivation of Hydrodynamic Equations from the Boltzmann Equation
I. Introduction
II. Physical Basis for Hydrodynamic Equations
III. The Boltzmann Equation and the Equations of Change
IV. Chapman-Enskog Expansion Method
V. Hydrodynamic Equations for "Almost-Frozen" Flow
VI. Hydrodynamic Equations for Local Chemical Equilibrium
VII. Hydrodynamic Equations for a System in Which the Vibrational Temperature Is Not Equal to the Translational Temperature
VIII. Conclusion
References
III. Transport in Neutral Gases
I. Introduction
II. General Theory
III. Viscosity
IV. Thermal Conductivity
V. Diffusion
VI. Pressure Diffusion and Thermal Diffusion
VII. Summary of Calculation Recipes
VIII. Determination of Intermolecular Forces
IX. Available Tabulations
References
IV. Kinetic Equations for Fully Ionized Plasmas
I. Introduction
II. Liouville Equation and BBGKY Hierarchy
III. Vlasov Equation
IV. Generalized Fokker-Planck Equation for Slowly and Rapidly Varying Processes
V. Lenard-Balescu Equation
VI. Fokker-PIanck Equation with Memory
VII. Silin Kinetic Equation for Rapidly Varying Processes
VIII. Linearization
Appendix. Derivation of the Shielding Function
References
V. The Boltzmann and Fokker-Planck Equations
I. Introduction
II. Derivation of the Fokker-Planck Equation from the Boltzmann Equation
III. Derivation of the Fokker-Planck Equation from a Markov Process
IV. Derivation of the Boltzmann and Fokker-Planck Equations from the Liouville Equation
References
VI. Calculations of Transport Coefficients in Ionized Gases
Introduction
I. Macroscopic Rates and Transport Coefficients for Plasma
II. Continuity Equation and Current Transport Coefficients
III. Ambipolar Electron Diffusion
IV. AC Electric Conductivity and Dielectric Constant
V. Energy Equation and Energy Transport Coefficients
VI. Thermoelectric Effect and Effective Coefficient of Thermal Conductivity
VII. Einstein and Onsager Relations Between Current and Energy Transport Coefficients
VIII. Generalized Wiedmann-Franz Law
IX. Discussion of the Kinetic Description of Ionized Gases
X. General Form of the Collision Integral
XI. Spherical Harmonics Expansion and Logarithmic Cutoffs
XII. Transport Properties in Slightly Ionized Gases
XIII. Transport Properties Including Electron-Electron Collisions
XIV. General Ohm's Law and Hall Conductivities
XV. Ion Contributions to the Transport Properties in Plasmas
XVI. Convergence of the Laguerre Expansion for Electron Transport Coefficients
XVII. Summary of Notations, Examples, and Numerical Results for Electron Transport Coefficients
Appendix A. Laguerre Polynomials and Products
Appendix B. Elements of 20 x 20 Matrix
References
VII. Chemical Reactions in High-Temperature Gases as Collision Processes
I. Introduction
II. The Place of Chemical Kinetics in the Domain of Collision Processes
III. Gaseous Statistics and the Boltzmann Equation for Chemical Reactions
IV. Collisions
V. Reaction Cross Sections and Reaction Rates
References
VIII. Rate Coefficients, Reaction Cross Sections, and Microscopic Reversibility
I. Introduction
II. Reaction Cross Sections and Rate Coefficients
III. Examples of Relation between σK and kσ
IV. Microscopic Reversibility and Detailed Balance
References
IX. Triple Collisions and Termolecular Reaction Rates
Introduction
I. The Standard Gas-Kinetic Triple Cross Section
II. Bodenstein's Theory and the "Collision Time"
III. Repulsive Collisions
IV. Attractive Collisions: The Collision Lifetime
V. Lifetime and Binary Cross Sections
VI. Quantum Effects in the 2-Body Lifetime
VII. Electronic States and Curve Crossings
VIII. Modes of 3-Body Collision: Entry
IX. Modes of 3-Body Collision: Exit
X. Gradual Stabilization and Successive Collisions
XI. Many-Body Interactions
XII. Experiment and Theory
References
X. Methods for Calculating Inelastic Collision Cross Sections in Low-Energy Collisions
I. Introduction
II. Inelastic Collisions of Electrons with Atoms and Molecules
III. Slow Inelastic Collisions of Heavy Particles
IV. The Interaction Potentials
Appendix A. Coupling of Electronic and Nuclear Motions: The Born-Oppenheimer Terms
Appendix B. Close Coupling Calculations
References
Charts A, B, and C
References
Author Index
Subject Index
Product details
- No. of pages: 472
- Language: English
- Copyright: © Academic Press 1969
- Published: January 1, 1969
- Imprint: Academic Press
- eBook ISBN: 9780323149112
About the Editor
A Hochstim
Ratings and Reviews
There are currently no reviews for "Kinetic Processes in Gases and Plasmas"