Foundations of Radiation Hydrodynamics

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 ...

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Foundations of Radiation Hydrodynamics

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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.

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Editorial Reviews

Booknews
The Mihalases (he, at least, is now with the Los Alamos National Laboratory) compile the basic tools from many disciplines required to do research on radiating flows in astrophysics. Their goal is to provide colleagues with a methodological foundation, so they restrict their discussion to the basics and refer to applications very little. Perhaps for that reason, their treatment is still useful for advanced students and beginning researchers. The 1984 edition was published by Oxford University Press. The new preface is merely a thank-you note. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780486409252
  • Publisher: Dover Publications
  • Publication date: 7/7/1999
  • Series: Dover Books on Physics Series
  • Pages: 736
  • Product dimensions: 5.38 (w) x 8.42 (h) x 1.35 (d)

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
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