Radiation heat transfer : a statistical approach /
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Author / Creator: | Mahan, J. R. |
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Imprint: | New York : J. Wiley, c2002. |
Description: | xviii, 482 p. : ill. ; 25 cm + 1 CD-ROM (4 3/4 in.). |
Language: | English |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4714075 |
Table of Contents:
- Preface
- Acknowledgments
- Part I. Fundamentals of Thermal Radiation
- 1. Introduction to Thermal Radiation
- 1.1. The Modes of Heat Transfer
- 1.2. Conduction Heat Transfer
- 1.3. Convection Heat Transfer
- 1.4. Radiation Heat Transfer
- 1.5. The Electromagnetic Spectrum
- 1.6. The Dual Wave--Particle Nature of Thermal Radiation
- 1.7. Wave Description of Thermal Radiation
- 1.8. Solution to Maxwell's Equations for an Electrical Insulator
- 1.9. Polarization and Power Flux
- 1.10. Diffraction and Interference
- 1.11. Physics of Emission and Absorption of Thermal Radiation
- 1.12. Electrical Dipole Moment
- 1.13. The Atomic Oscillator
- 1.14. The Atomic Oscillator as a Dipole Antenna
- 1.15. Radiation Distribution Function
- 2. Basic Concepts; The Blackbody
- 2.1. The Solid Angle
- 2.2. Intensity (or Radiance) of Radiation
- 2.3. Directional, Spectral Emissive Power
- 2.4. Hemispherical, Spectral Emissive Power
- 2.5. Hemispherical, Total Emissive Power
- 2.6. Spectral Intensity of Our Atomic Oscillator
- 2.7. The Blackbody
- 2.8. Radiation Within an Isothermal Enclosure
- 2.9. The Blackbody as an Ideal Emitter
- 2.10. The Blackbody as an Ideal Emitter at All Wavelengths
- 2.11. The Blackbody as an Ideal Emitter in All Directions
- 2.12. Radiation Pressure
- 2.13. Radiation Energy Density
- 2.14. Relationship Between Radiation from a Blackbody and Its Temperature
- 2.15. Candidate Blackbody Radiation Distribution Functions
- 2.16. Planck's Blackbody Radiation Distribution Function
- 2.17. Blackbody Directional, Spectral Emissive Power
- 2.18. Blackbody Hemispherical, Spectral Emissive Power
- 2.19. Blackbody Total Intensity
- 2.20. Blackbody Hemispherical, Total Emissive Power
- 2.21. The Blackbody Function
- 2.22. Wien's Displacement Law
- 3. Description of Real Surfaces; Surface Properties
- 3.1. Departure of Real Surfaces from Blackbody Behavior
- 3.2. Directional, Spectral Emissivity
- 3.3. Hemispherical, Spectral Emissivity
- 3.4. Directional, Total Emissivity
- 3.5. The Hemisphericalizing and Totalizing Operators
- 3.6. Hemispherical, Total Emissivity
- 3.7. The Disposition of Radiation Incident to a Surface; The Reflectivity, Absorptivity, and Transmissivity
- 3.8. Directional, Spectral Absorptivity
- 3.9. Kirchhoff's Law
- 3.10. Hemispherical, Spectral Absorptivity
- 3.11. Directional, Total Absorptivity
- 3.12. Hemispherical, Total Absorptivity
- 3.13. Bidirectional, Spectral Reflectivity
- 3.14. Reciprocity for the Bidirectional, Spectral Reflectivity
- 3.15. BDRF Versus BRDF; Practical Considerations
- 3.16. Directional--Hemispherical, Spectral Reflectivity
- 3.17. Relationship Among the Directional, Spectral Emissivity; The Directional, Spectral Absorptivity; and The Directional-Hemispherical, Spectral Reflectivity
- 3.18. Hemispherical--Directional, Spectral Reflectivity
- 3.19. Reciprocity Between the Directional--Hemispherical, Spectral Reflectivity and the Hemispherical--Directional, Spectral Reflectivity
- 3.20. (Bi)Hemispherical, Spectral Reflectivity
- 3.21. Total Reflectivity
- 3.22. Participating Media and Transmissivity
- 3.23. Spectral Transmissivity
- 3.24. Total Transmissivity
- 4. Radiation Behavior of Surfaces
- 4.1. Introduction to the Radiation Behavior of Surfaces
- 4.2. Solution to Maxwell's Equations for an Electrically Conducting Medium (r[subscript e] Finite)
- 4.3. Reflection from an Ideal Dielectric Surface
- 4.4. Emissivity for an Opaque Dielectric
- 4.5. Behavior of Electrical Conductors (Metals)
- 4.6. The Drude Free-Electron Model for Metals; Dispersion Theory
- 4.7. Hagen--Rubens Approximation for Metals
- 4.8. Introduction to the Optical Behavior of Real Surfaces
- 4.9. Surface Topography Effects
- 5. Wave Phenomena in Thermal Radiation
- 5.1. Limitations to the Geometrical View of Thermal Radiation
- 5.2. Diffraction and Interference
- 5.3. Corner Effects
- 5.4. Polarization Effects
- 6. Radiation in a participating Medium
- 6.1. Motivation for the Study of Radiation in a Participating Medium
- 6.2. Emission from Gases and (Semi-)Transparent Solids and Liquids
- 6.3. Absorption by Gases and (Semi-)Transparent Solids and Liquids
- 6.4. The Band-Averaged Intensity and Spectral Emission Coefficient
- 6.5. Radiation Sources and Sinks Within a Purely Absorbing, Emitting Medium
- 6.6. Optical Regimes
- 6.7. Transmittance and Absorptance over an Optical Path
- 6.8. Emission and Absorption Mechanisms in Gases
- 6.9. Spectral Absorption Coefficient Models
- 6.10. Scattering by Gases and (Semi-)Transparent Solids and Liquids
- 6.11. The Scattering Phase Function, [Phi]
- 6.12. The Radiation Source Function
- 6.13. The Equations of Radiative Transfer
- 6.14. Rayleigh Scattering
- 6.15. Mie Scattering
- Part II. Traditional Methods of Radiation Heat Transfer Analysis
- 7. Solution of the Equation of Radiative Transfer
- 7.1. Analytical Solution of the Equation of Radiative Transfer in a Purely Absorbing, Emitting, One-Dimensional Medium
- 7.2. Analytical Solution of the Equation of Radiative Transfer in a Purely Scattering One-Dimensional Medium
- 7.3. Solution of the Equation of Radiative Transfer in a One-Dimensional Absorbing, Emitting, and Scattering Medium
- 7.4. Solution of the Equation of Radiative Transfer in Multidimensional Space
- 7.5. Improvements and Applications
- 8. The Net Exchange Formulation for Diffuse, Gray Enclosures
- 8.1. Introduction
- 8.2. The Enclosure
- 8.3. The Net Exchange Formulation Model
- 8.4. The Radiosity and the Irradiance
- 8.5. The Integral Formulation
- 8.6. The Differential--Differential Configuration (Angle, Shape, View, Geometry) Factor
- 8.7. Reciprocity for the Differential--Differential Configuration Factor
- 8.8. The Integral Net Exchange Formulation (Continued)
- 8.9. Integral Equations Versus Differential Equations
- 8.10. Solution of Integral Equations
- 8.11. Solution by the Method of Successive Substitutions
- 8.12. Solution by the Method of Successive Approximations
- 8.13. Solution by the Method of Laplace Transforms
- 8.14. Solution by an Approximate Analytical Method
- 8.15. The Finite Net Exchange Formulation
- 8.16. Relationships Between Differential and Finite Configuration Factors
- 8.17. The Finite Net Exchange Formulation (Continued)
- 8.18. Solution of the Finite Net Exchange Formulation Equations
- 9. Evaluation of Configuration Factors
- 9.1. Introduction
- 9.2. Evaluation of Configuration Factors Based on the Definition (the Direct Method)
- 9.3. Evaluation of Configuration Factors Using Contour Integration
- 9.4. The Superposition Principle
- 9.5. Formulation for Finite-Finite Configuration Factors
- 9.6. Configuration Factor Algebra
- 9.7. General Procedure for Performing Configuration Factor Algebra
- 9.8. Primitives
- 9.9. A Numerical Approach, the Monte Carlo Ray-Trace Method
- 10. Radiative Analysis of Nondiffuse, Nongray Enclosures Using the Net Exchange Formulation
- 10.1. The "Dusty Mirror" Model
- 10.2. Analysis of Enclosures Made up of Diffuse-Specular Surfaces
- 10.3. The Exchange Factor
- 10.4. Reciprocity for the Exchange Factor
- 10.5. Calculation of Exchange Factors
- 10.6. The Image Method for Calculating Exchange Factors
- 10.7. Net Exchange Formulation Using Exchange Factors
- 10.8. Treatment of Wavelength Dependence (Nongray Behavior)
- 10.9. Formulation for the Case of Specified Surface Temperatures
- 10.10. Formulation for the General Case of Specified Temperature on Some Surfaces and Specified Net Heat Flux on the Remaining Surfaces
- 10.11. An Alternative Approach for Axisymmetric Enclosures
- Part III. The Monte Carlo Ray-Trace Method
- 11. Introduction to the Monte Carlo Ray-Trace Method
- 11.1. Common Situations Requiring a More Accurate Analytical Method
- 11.2. A Brief History of the Monte Carlo Ray-Trace Method in Radiation Heat Transfer
- 11.3. Second Law Implications
- 11.4. The Radiation Distribution Factor
- 11.5. The Total, Diffuse-Specular Radiation Distribution Factor
- 11.6. Properties of the Total, Diffuse-Specular Radiation Distribution Factor
- 11.7. The Monte Carlo Ray-Trace Method
- 11.8. Computation of the Estimate of the Distribution Factor Matrix
- 11.9. Use of the Total, Diffuse-Specular Radiation Distribution Factor for the Case of Specified Surface Temperatures
- 11.10. Use of the Total, Diffuse-Specular Radiation Distribution Factor for the Case of Some Specified Surface Net Heat Fluxes
- 12. The MCRT Method for Diffuse-Specular, Gray Enclosures: An Extended Example
- 12.1. Description of the Problem
- 12.2. Goals of the Analysis
- 12.3. Subdivision of the Cavity Walls into Surface Elements
- 12.4. Executing the Ray Trace: Locating the Point of "Emission"
- 12.5. Determine Where the Energy Bundle Strikes the Cavity Walls
- 12.6. Determine the Index of the Surface Element Receiving the Energy Bundle
- 12.7. Determine if the Energy Bundle Is Absorbed or Reflected
- 12.8. Determine if the Reflection is Diffuse or Specular
- 12.9. Determine the Direction of the Specular Reflection
- 12.10. Determine the Point Where the Energy Bundle Strikes the Cavity Wall
- 12.11. Determine the Index Number of the Surface Element Receiving the Energy Bundle
- 12.12. Determine if the Energy Bundle Is Absorbed or Reflected
- 12.13. Determine if the Reflection Is Diffuse or Specular
- 12.14. Determine the Direction of the Diffuse Reflection
- 12.15. Find the Point Where the Diffusely Reflected Energy Bundle Strikes the Cavity Wall
- 12.16. Determine if the Energy Bundle Is Absorbed or Reflected
- 12.17. Compute the Estimate of the Distribution Factor Matrix
- 13. The Distribution Factor for Nondiffuse, Nongray, Surface-to-Surface Radiation
- 13.1. The Band-Averaged Spectral Radiation Distribution Factor
- 13.2. Use of the Band-Averaged Spectral Radiation Distribution Factor for the Case of Specified Surface Temperatures
- 13.3. Calculation of (Bi)Directional, Band-Averaged Spectral Radiation Distribution Factors for the Case of Surface-to-Surface Exchange
- 13.4. Determine the Direction of Emission
- 13.5. Determine Whether the Energy Bundle Is Absorbed or Reflected
- 13.6. If Reflected, Determine the Direction of Reflection
- 13.7. Use of the Band-Averaged Spectral Radiation Distribution Factor for the Case of Some Specified Surface Net Heat Fluxes
- 13.8. Summary
- 14. The MCRT Method Applied to Radiation in a Participating Medium
- 14.1. The Enclosure Filled with a Participating Medium
- 14.2. The MCRT Formulation for Estimating the Distribution Factors
- 14.3. Use of Band-Averaged Spectral Radiation Distribution Factors in a Participating Medium
- 14.4. Evaluation of Unknown Temperatures when the Net Heat Transfer Is Specified for Some Surface and/or Volume Elements
- 15. Statistical Estimation of Uncertainty in the MCRT Method
- 15.1. Statement of the Problem
- 15.2. Statistical Inference
- 15.3. Hypothesis Testing for Population Means
- 15.4. Confidence Intervals for Population Proportions
- 15.5. Effects of Uncertainties in the Enclosure Geometry and Surface Optical Properties
- 15.6. Single-Sample Versus Multiple-Sample Experiments
- 15.7. Evaluation of Aggravated Uncertainty
- 15.8. Uncertainty in Temperature and Heat Transfer Results
- 15.9. Application to the Case of Specified Surface Temperatures
- 15.10. Experimental Design of MCRT Algorithms
- 15.11. Validation of the Theory
- Appendices
- A. Radiation from an Atomic Dipole
- A.1. Maxwell's Equations and Conseration of Electric Charge
- A.2. Maxwell's Equations Applied in Free Space
- A.3. Emission from an Electric Dipole Radiator
- B. Mie Scattering by Homogeneous Spherical Particles: Program UNO
- B.1. Introduction
- B.2. Program UNO
- C. A Functional Environment for Longwave Infrared Exchange (FELIX)
- C.1. Introduction to FELIX
- C.2. What the Student Version of FELIX Cannot Do
- C.3. What the Student Version of FELIX Can Do
- C.4. How Does FELIX Work?
- D. Random Number Generators and Autoregression Analysis
- D.1. Pseudo-Random Number Generators
- D.2. Properties of a "Good" Pseudo-Random Number Generator
- D.3. A "Minimal Standard" Pseudo-Random Number Generator
- D.4. Autoregression Analysis
- Index