Radiative Heat Transfer - 2nd Edition - ISBN: 9780125031639, 9780080515632

Radiative Heat Transfer

2nd Edition

Authors: Michael Modest Michael Modest
eBook ISBN: 9780080515632
Hardcover ISBN: 9780125031639
Imprint: Academic Press
Published Date: 7th March 2003
Page Count: 860
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The most comprehensive and detailed treatment of thermal radiation heat transfer available for graduate students, as well as senior undergraduate students, practicing engineers and physicists is enhanced by an excellent writing style with nice historical highlights and a clear and consistent notation throughout. Modest presents radiative heat transfer and its interactions with other modes of heat transfer in a coherent and integrated manner emphasizing the fundamentals. Numerous worked examples, a large number of problems, many based on real world situations, and an up-to-date bibliography make the book especially suitable for independent study.

Key Features

  • Most complete text in the field of radiative heat transfer
  • Many worked examples and end-of-chapter problems
  • Large number of computer codes (in Fortran and C++), ranging from basic problem solving aids to sophisticated research tools
  • Covers experimental methods


A reference for mechanical engineers, as well as other branches of engineers, architectural engineers, physicists, oceanographers, and meteorologists.

Table of Contents

1 Fundamentals of Thermal Radiation
1.1 Introduction
1.2 The Nature of Thermal Radiation
1.3 Basic Laws of Thermal Radiation
1.4 Emissive Power
1.5 Solid Angles
1.6 Radiative Intensity
1.7 Radiative Heat Flux
1.8 Radiation Pressure
1.9 Visible Radiation (Luminance)
1.10 Introduction to Radiation Characteristics of Opaque Surfaces
1.11 Introduction to Radiation Characteristics of Gases
1.12 Introduction to Radiation Characteristics of Solids and Liquids
1.13 Introduction to Radiation Characteristics of Particles
1.14 Outline of Radiative Transport Theory

2 Radiative Property Predictions from
Electromagnetic Wave Theory
2.1 Introduction
2.2 The Macroscopic Maxwell Equations
2.3 Electromagnetic Wave Propagation in Unbounded Media
2.4 Polarization
2.5 Reflection and Transmission
2.6 Theories for Optical Constants

3 Radiative Properties of Real Surfaces
3.1 Introduction
3.2 Definitions
3.3 Predictions from Electromagnetic Wave Theory
3.4 Radiative Properties of Metals
3.5 Radiative Properties of Nonconductors
3.6 Effects of Surface Roughness
3.7 Effects of Surface Damage and Oxide Films
3.8 Radiative Properties of Semitransparent Sheets
3.9 Special Surfaces
3.10 Experimental Methods

4 View Factors
4.1 Introduction
4.2 Definition of View Factors
4.3 Methods for the Evaluation of View Factors
4.4 Area Integration
4.5 Contour Integration
4.6 View Factor Algebra
4.7 The Crossed-Strings Method
4.8 The Inside-Sphere Method
4.9 The Unit Sphere Method

5 Radiative Exchange Between Gray, Diffuse Surfaces
5.1 Introduction
5.2 Radiative Exchange between Black Surfaces
5.3 Radiative Exchange Between Gray, Diffuse Surfaces
5.4 Electrical Network Analogy
5.5 Solution Methods for the Governing Integral Equations

6 Radiative Exchange Between Partially-Specular
Gray Surfaces
6.1 Introduction
6.2 Specular View Factors
6.3 Enclosures With Partially Specular Surfaces
6.4 Electrical Network Analogy
6.5 Radiation Shields
6.6 Semitransparent Sheets (Windows)
6.7 Solution of the Governing Integral Equation
6.8 Concluding Remarks

7 Radiative Exchange Between Nonideal Surfaces
7.1 Introduction
7.2 Radiative Exchange between Nongray Surfaces
7.3 Directionally Nonideal Surfaces
7.4 Analysis for Arbitrary Surface Characteristics

8 Surface Radiative Exchange in the Presence of
Conduction and Convection
8.1 Introduction
8.2 Conduction and Surface Radiation—Fins
8.3 Convection and Surface Radiation

9 The Equation of Radiative Transfer in Participating
9.1 Introduction
9.2 Radiative Intensity in Vacuum
9.3 Attenuation by Absorption and Scattering
9.4 Augmentation by Emission and Scattering
9.5 The Equation of Transfer
9.6 Formal Solution to the Equation of Transfer
9.7 Boundary Conditions for the Equation of Transfer
9.8 Radiation Energy Density
9.9 Radiative Heat Flux
9.10 Divergence of the Radiative Heat Flux
9.11 Integral Formulation of the Equation of Transfer
9.12 Overall Energy Conservation
9.13 Solution Methods for the Equation of Transfer

10 Radiative Properties of Molecular Gases
10.1 Fundamental Principles
10.2 Emission and Absorption Probabilities
10.3 Atomic and Molecular Spectra
10.4 Line Radiation
10.5 Spectral Models For Radiative Transfer Calculations
10.6 Narrow Band Models
10.7 Narrow Band k-Distributions
10.8 Wide Band Models
10.9 Total Emissivity and Mean Absorption Coefficient
10.10 Experimental Methods

11 Radiative Properties of Particulate Media
11.1 Introduction
11.2 Absorption and Scattering from a Single Sphere
11.3 Radiative Properties of a Particle Cloud
11.4 Radiative Properties of Small Spheres (Rayleigh Scattering)
11.5 Rayleigh-Gans Scattering
11.6 Anomalous Diffraction
11.7 Radiative Properties of Large Spheres
11.8 Absorption and Scattering by Long Cylinders
11.9 Approximate Scattering Phase Functions
11.10 Experimental Determination of Radiative Properties of Particles
11.11 Radiation Properties of Combustion Particles

12 Radiative Properties of Semitransparent Media
12.1 Introduction
12.2 Absorption by Semitransparent Solids
12.3 Absorption by Semitransparent Liquids
12.4 Experimental Methods

13 Exact Solutions For One-Dimensional Gray Media
13.1 Introduction
13.2 General Formulation for a Plane-Parallel Medium
13.3 Radiative Equilibrium of a Nonscattering Medium
13.4 Radiative Equilibrium of a Scattering Medium
13.5 Plane Medium with Specified Temperature Field
13.6 Radiative Transfer in Spherical Media
13.7 Radiative Transfer in Cylindrical Media
13.8 Numerical Solution of the Governing Integral Equations

14 Approximate Solution Methods for One-Dimensional Media
14.1 The Optically Thin Approximation
14.2 The Optically Thick Approximation (Diffusion Approximation)
14.3 The Schuster-Schwarzschild Approximation
14.4 The Milne-Eddington Approximation (Moment Method)
14.5 The Exponential Kernel Approximation

15 The Method of Spherical Harmonics (PN-Approximation)
15.1 Introduction
15.2 Development of the General PN-Approximation
15.3 Boundary Conditions for the PN-Method
15.4 The P1-Approximation
15.5 P3- and Higher-Order Approximations
15.6 Enhancements to the P1-Approximation

16 The Method of Discrete Ordinates
16.1 Introduction
16.2 General Relations
16.3 The One-Dimensional Slab
16.4 One-Dimensional Concentric Spheres and Cylinders
16.5 Multidimensional Problems
16.6 The Finite Volume Method
16.7 Other Related Methods
16.8 Concluding Remarks

17 The Zonal Method
17.1 Introduction
17.2 Surface Exchange — No Participating Medium
17.3 Radiative Exchange in Gray Absorbing/Emitting Media
17.4 Radiative Exchange in Gray Media with Isotropic Scattering
17.5 Radiative Exchange through a Nongray Medium
17.6 Determination of Direct Exchange Areas

18 The Treatment of Collimated Irradiation
18.1 Introduction
18.2 Reduction of the Problem
18.3 The Modified P1-Approximation with Collimated Irradiation
18.4 Short-Pulsed Collimated Irradiation With Transient Effects

19 The Treatment of Nongray Extinction Coefficients
19.1 Introduction
19.2 The Mean Beam Length Method
19.3 Semigray Approximations
19.4 The Stepwise-Gray Model (Box Model)
19.5 General Band Model Formulation
19.6 The Weighted-Sum-of-Gray-Gases (WSGG) Model
19.7 k-Distribution Models
19.8 The Full-Spectrum k-Distribution (FSK) Method

20 The Monte Carlo Method for Thermal Radiation
20.1 Introduction
20.2 Numerical Quadrature by Monte Carlo
20.3 Heat Transfer Relations for Radiative Exchange between Surfaces
20.4 Random Number Relations for Surface Exchange
20.5 Surface Description
20.6 Ray Tracing
20.7 Heat Transfer Relations for Participating Media
20.8 Random Number Relations for Participating Media
20.9 Overall Energy Conservation
20.10 Efficiency Considerations
20.11 Backward Monte Carlo
20.12 Example

21 Radiation Combined With Conduction and
21.1 Introduction
21.2 Combined Radiation and Conduction
21.3 Melting and Solidification with Internal Radiation
21.4 Combined Radiation and Convection in Boundary Layers
21.5 Combined Radiation and Free Convection
21.6 Combined Radiation and Convection in Internal Flow
21.7 Combined Radiation and Combustion
21.8 Interfacing Between Turbulent Flow Fields and Radiation
21.9 Interaction of Radiation with Turbulence

22 Inverse Radiative Heat Transfer
22.1 Introduction
22.2 Solution Methods
22.3 The Levenberg-Marquardt Method
22.4 The Conjugate Gradient Method
22.5 Inverse Surface Radiation
22.6 Inverse Radiation in Participating Media

A Constants and Conversion Factors
B Tables for Radiative Properties of Opaque Surfaces
C Blackbody Emissive Power Table
D View Factor Catalogue
E Exponential Integral Functions
F Computer Codes
Author Index
Subject Index


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© Academic Press 2003
Academic Press
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About the Author

Michael Modest

Shaffer and George Professor of Engineering

School of Engineering

University of California, Merced

Affiliations and Expertise

Shaffer and George Professor of Engineering School of Engineering University of California, Merced

Michael Modest

Shaffer and George Professor of Engineering

School of Engineering

University of California, Merced

Affiliations and Expertise

Shaffer and George Professor of Engineering School of Engineering University of California, Merced


Jennifer X. Wen, Kingston University, UK: "This book can simply be summed up as the 'bible' for thermal radiation and its calculation methods." "I expect to see it on the bookshelf of every university and major research laboratory." "Because of the level of details the book has gone into in each specific topic, this book will be especially suitable for occasions where students are expected to read extensively outside the classroom as part of the syllabus." Andrei Fedorov, Georgia Tech: "The book is up-to-date and provides excellent coverage." "Excellent writing style with nice historical highlights. The most important asset of the book is its clear and consistent notation used throughout the manuscript. It is probably the most comprehensive treatment of the topic that is currently in existence. It has up-to-date bibliography and very sound treatment of electromagnetism foundation of thermal radiation." Peter Wong, Tufts University: "Modest has compiled together a comprehensive and detailed understanding in thermal radiative heat transfer for graduate students and practicing engineers." Yildiz Bayazitoglu, Rice University: "Very much up to date and has a good selection of topics." "Comprehensive, detailed, but simplified." "The author presented the radiative heat transfer and its interactions with other modes of heat transfer in a coherent and integrated manner emphasizing the fundamentals...The book is directed towards the graduate level students as well as towards the scientists and engineers already engaged in subject matter."

Ratings and Reviews