Foundations of Radiation Hydrodynamics

by Dimitri Mihalas, Barbara Weibel Mihalas

Overview

Radiation hydrodynamics is a broad subject that cuts across many disciplines in physics and astronomy: fluid dynamics, thermodynamics, statistical mechanics, kinetic theory, and radiative transfer, among others. The theory developed in this book by two specialists in the field can be applied to the study of such diverse astrophysical phenomena as stellar winds, supernova explosions, and the initial phases of cosmic expansion, as well as the physics of laser fusion and reentry vehicles. As such, it provides students with the basic tools for research on radiating flows.
Largely self-contained, the volume is divided into three parts: Chapters 1 to 5 focus on the dynamics of nonradiating fluids and then consider applications of a few astrophysically interesting problems concerning waves, shocks, and stellar winds. The second part of the book — Chapters 5 to 8 — deals with the physics of radiation, radiation transport, and the dynamics of radiating fluids, emphasizing the close relationship of radiation hydrodynamics to ordinary fluid dynamics. Part 3 comprises a short appendix on tensor calculus, explaining the use of tensor concepts in writing equations that allow a simple transition from ordinary fluids to relativistic fluids to radiation.
Combining relevant material scattered widely among a large number of books, journal papers, and technical reports, this volume will be of immense value to students and researchers in many fields.
1984 edition.

Product Details

ISBN-13:	9780486135885
Publisher:	Dover Publications
Publication date:	03/13/2013
Series:	Dover Books on Physics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	752
File size:	39 MB
Note:	This product may take a few minutes to download.

Table of Contents

1. Microphysics of Gases
1.1 Thermodynamics
1. Equation of State of a Perfect Gas
2. First Law of Thermodynamics
3. Second Law of Thermodynamics
4 Thermal Properties of a Perfect Gas
5. Some Consequences of the Combined First and Second Laws
1.2 Kinetic Theory
6. The Distribution Function and Boltzmann's Equation
7. The Collision Integral
8. The Maxwellian Velocity Distribution
9. Boltzmann's H-Theorem
10. The Time of Relaxation
1.3 Classical Statistical Mechanics
11. Thermodynamic Probability and Entropy
12. Boltzmann Statistics
13. Ionization
14. Thermodynamic Properties of Ionizing Hydrogen
2. Dynamics of Idea Fluids
2.1 Kinematics
15. Velocity and Acceleration
16. "Particle Paths, Streamlines, and Streaklines"
17. The Euler Expansion Formula
18. The Reynolds Transport Theorem
19. The Equation of Continuity
20. Vorticity and Circulation
21. The Cauchy-Stokes Decomposition Theorem
2.2 Equations of Motion and Energy
22. The Stress Tensor
23. The Momentum Equation
24. The Energy Equation
3. Dynamics of Viscous and Heat-Conducing Fluids
3.1 Equations of Motion and Energy: The Continuum View
25. The Stress Tensor for a Newtonian Fluid
26. The Navier-Stokes Equations
27. The Energy Equation
28. Similarity Parameters
3.2 Equations of Motion and Energy: The Kinetic Theory View
29. The Mean Free Path and Transport Phenomena
30. Moments of the Boltzmann Equation
31. Conservation Equations for Equilibrium Flow
32. The Chapman-Enskog Solution for Nonequilibrium Flow
33. Evaluation of the Transport Coefficients
4. Relativistic Fluid Flow
4.1 Basic Concepts of Special Relativity
34. The Relativity Principle
35. The Lorentz Transformation
36. Relativistic Kinematics of Point Particles
37. Relativistic Dynamics of Point Particles
4.2 Relativistic Dynamics of Ideal Fluids
38. Kinematics
39. The Equation of Continuity
40. The Material Stress-Energy Tensor
41. The Four-Force Density
42. The Dynamical Equations
43. The Kinetic Theory View
4.3 Relativistic Dynamics of Nonideal Fluids
44. Kinematics
45. The Stress-Energy Tensor
46. The Energy Equation
47. The Equations of Motion
5. "Waves, Shocks, and Winds"
5.1 Acoustic Waves
48. The Wave Equation
49. Propagation of Acoustic Waves
50. Wave Energy and Momentum
51. Dampting of Acoustic Waves by Conduction and Viscosity
5.2 Acoustic-Gravity Waves
52. The Wave Equation and Wave Energy
53. Propagation of Acoustic -Gravity Waves in an Isothermal Medium
54. Propagation of Acoustic-Gravity Waves in a Stellar Atomsphere
5.3 Shock Waves
55. The Development of Shocks
56. Steady Shocks
57. Shock Structure
58. Propagation of Weak Shocks
59. Numerical Methods
60. Propagating Strong Shocks
5.4 Thermally Driven Winds
61. Basic Model
62. Physical Complications
6. Radiation and Radiative Transfer
6.1 The Radiation Field
63. The Specific Intensity and Photon Distribution Function
64. The Mean Intensity and Radiation Energy Density
65. The Radiative Energy Flux and Momentum Density
66. The Radiation Pressure Tensor
6.2 Thermal Radiation
67. Planck's Law
68. Stefan's Law
69. Thermodynamics of Equilibrium Radiation
70. Thermodynamics of Equilibrium Radiation Plus a Perfect Gas
71. Thermodynamics of Equilibrium Radiation Plus an Ionizing Gas
6.3. The Interaction of Radiation and Matter
72. "Absorption, Emission, and Scattering"
73. The Einstein Relations
74. The Einstein-Milne Relations
75. Opacity and Emission Coefficients
6.4 The Equation of Transfer
76. Derivation of the Transfer Equation
77. Optical Depth and Source Function
78. Moments of the Transfer Equation
6.5 Solution of the Transfer Equation
79. Formal Solution
80. The Diffusion Limit
81. The Wave Limit
82. "The Grey Atmosphere, Mean Opacities, and Multigroup Methods"
83. Numerical Methods
6.6 Statistical Equilibrium in the Presence of a Radiation Field
84. The Microscopic Implications of LTE
85. Non-LTE Rate Equations
86. Thermal Properties of a Nonequilibrium Gas
6.7 Solution of the Coupled Transfer and Statistical Equilibrium Equations in Static Media
87. The Two-Level Atom
88. The Complete Linearization Method
7. The Equations of Radiation Hydrodynamics
7.1 Lorentz Transformation of the Transfer Equation
89. The Photon Four-Momentum
90. "Transformation Laws for the Specific Intensity, Opacity, and Emissivity"
91. The Radiation Stress-Energy Tensor and Four-Force Vector
92. Covariant Form of the Transfer Equation
7.2 The Dynamical Equations for a Radiating Fluid
93. The Inertial-Frame Transfer Equation for a Moving Fluid
94. Inertial-Frame Equations of Radiation Hydrodynamics
95. The Comoving-Frame Equation of Transfer
96. Comoving-Frame Equations of Radiation Hydrodynamics
7.3 Solution of the Equations of Radiation Hydrodynamics
97. Radiation Diffusion Methods
98. Transport Solution in the Comoving Frame
99. Transport Solution by Mixed-Frame and VERA-Code Methods
8 Radiating Flows
8.1 Small-Amplitude Disturbances
100. Radiative Dampting of Temperature Fluctuations
101. Propagation of Acoustic Waves in a Radiating Fluid
102. Propagation of Acousitc-Gravity Waves in a Radiating Fluid
8.2 Nonlinear Flows
103. Thermal Waves
104. Steady Shocks
105. Propagating Shocks
106. Ionization Fronts
107. Radiation-Driven Winds
Appendix: Elements of Tensor Calculus
A1. Notation
A2. Cartesian Tensors
A3. General Tensors
Glossary of Physical Symbols
Index