Radiation heat transfer : a statistical approach /

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Bibliographic Details
Author / Creator:Mahan, J. R.
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
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ISBN:0471212709 (cloth : alk. paper)
Notes:Includes bibliographical references and index.
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