Radiative Heat Transfer

Radiative Heat Transfer

3rd Edition - February 1, 2013

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  • Author: Michael Modest
  • eBook ISBN: 9780123869906

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The third edition of Radiative Heat Transfer describes the basic physics of radiation heat transfer. The book provides models, methodologies, and calculations essential in solving research problems in a variety of industries, including solar and nuclear energy, nanotechnology, biomedical, and environmental. Every chapter of Radiative Heat Transfer offers uncluttered nomenclature, numerous worked examples, and a large number of problems—many based on real world situations—making it ideal for classroom use as well as for self-study. The book's 24 chapters cover the four major areas in the field: surface properties; surface transport; properties of participating media; and transfer through participating media. Within each chapter, all analytical methods are developed in substantial detail, and a number of examples show how the developed relations may be applied to practical problems.

Key Features

  • Extensive solution manual for adopting instructors
  • 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 Scientists, Researchers, Engineers (mechanical, chemical as well as other branches of engineers), Physicists, Oceanographers, Meteorologists, Graduate Students, Academic Researchers

Table of Contents

  • About the Author


    Preface to the Third Edition

    List of Symbols

    Chapter 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 Radiative Intensity In Vacuum

    1.11 Introduction to Radiation Characteristics of Opaque Surfaces

    1.12 Introduction to Radiation Characteristics of Gases

    1.13 Introduction to Radiation Characteristics of Solids and Liquids

    1.14 Introduction to Radiation Characteristics of Particles

    1.15 The Radiative Transfer Equation

    1.16 Outline of Radiative Transport Theory



    Chapter 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



    Chapter 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

    Reflection Measurements



    Chapter 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



    Chapter 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 Radiation Shields

    5.6 Solution Methods For The Governing Integral Equations



    Chapter 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



    Chapter 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



    Chapter 8. The Monte Carlo Method for Surface Exchange

    8.1 Introduction

    8.2 Numerical Quadrature By Monte Carlo

    8.3 Heat Transfer Relations For Radiative Exchange Between Surfaces

    8.4 Random Number Relations For Surface Exchange

    8.5 Surface Description

    8.6 Ray Tracing

    8.7 Efficiency Considerations



    Chapter 9. Surface Radiative Exchange in the Presence of Conduction and Convection

    9.1 Introduction

    9.2 Conduction and Surface Radiation—Fins

    9.3 Convection and Surface Radiation



    Chapter 10. The Radiative Transfer Equation in Participating Media (RTE)

    10.1 Introduction

    10.2 Attenuation By Absorption And Scattering

    10.3 Augmentation By Emission And Scattering

    10.4 The Radiative Transfer Equation

    10.5 Formal Solution To The Radiative Transfer Equation

    10.6 Boundary Conditions For The Radiative Transfer Equation

    10.7 Radiation Energy Density

    10.8 Radiative Heat Flux

    10.9 Divergence Of The Radiative Heat Flux

    10.10 Integral Formulation Of The Radiative Transfer Equation

    10.11 Overall Energy Conservation

    10.12 Solution Methods For The Radiative Transfer Equation



    Chapter 11. Radiative Properties of Molecular Gases

    11.1 Fundamental Principles

    11.2 Emission and Absorption Probabilities

    11.3 Atomic and Molecular Spectra

    11.4 Line Radiation

    11.5 Nonequilibrium Radiation

    11.6 High-Resolution Spectroscopic Databases

    11.7 Spectral Models for Radiative Transfer Calculations

    11.8 Narrow Band Models

    11.9 Narrow Band k-Distributions

    11.10 Wide Band Models

    11.11 Total Emissivity and Mean Absorption Coefficient

    11.12 Experimental Methods



    Chapter 12. Radiative Properties of Particulate Media

    12.1 Introduction

    12.2 Absorption and Scattering From A Single Sphere

    12.3 Radiative Properties of A Particle Cloud

    12.4 Radiative Properties of Small Spheres (Rayleigh Scattering)

    12.5 Rayleigh-Gans Scattering

    12.6 Anomalous Diffraction

    12.7 Radiative Properties of Large Spheres

    12.8 Absorption and Scattering By Long Cylinders

    12.9 Approximate Scattering Phase Functions

    12.10 Radiative Properties of Irregular Particles and Aggregates

    12.11 Radiative Properties of Combustion Particles

    12.12 Experimental Determination of Radiative Properties of Particles



    Chapter 13. Radiative Properties of Semitransparent Media

    13.1 Introduction

    13.2 Absorption by Semitransparent Solids

    13.3 Absorption by Semitransparent Liquids

    13.4 Radiative Properties of Porous Solids

    13.5 Experimental Methods



    Chapter 14. Exact Solutions for One-Dimensional Gray Media

    14.1 Introduction

    14.2 General Formulation for A Plane-Parallel Medium

    14.3 Plane Layer of A Nonscattering Medium

    14.4 Plane Layer of A Scattering Medium

    14.5 Radiative Transfer in Spherical Media

    14.6 Radiative Transfer in Cylindrical Media

    14.7 Numerical Solution of the Governing Integral Equations



    Chapter 15. Approximate Solution Methods for One-Dimensional Media

    15.1 The Optically Thin Approximation

    15.2 The Optically Thick Approximation (Diffusion Approximation)

    15.3 The Schuster–Schwarzschild Approximation

    15.4 The Milne–Eddington Approximation (Moment Method)

    15.5 The Exponential Kernel Approximation



    Chapter 16. The Method of Spherical Harmonics (PN-Approximation)

    16.1 Introduction

    16.2 General Formulation of the PN-Approximation

    16.3 The PN-Approximation for a One-Dimensional Slab

    16.4 Boundary Conditions for the PN-Method

    16.5 The P1-Approximation

    16.6 P3- and Higher-Order Approximations

    16.7 Simplified PN-Approximation

    16.8 The Modified Differential Approximation

    16.9 Comparison of Methods



    Chapter 17. The Method of Discrete Ordinates (SN-Approximation)

    17.1 Introduction

    17.2 General Relations

    17.3 The One-Dimensional Slab

    17.4 One-Dimensional Concentric Spheres and Cylinders

    17.5 Multidimensional Problems

    17.6 The Finite Volume Method

    17.7 The Modified Discrete Ordinates Method

    17.8 Even-Parity Formulation

    17.9 Other Related Methods

    17.10 Concluding Remarks



    Chapter 18. The Zonal Method

    18.1 Introduction

    18.2 Surface Exchange — No Participating Medium

    18.3 Radiative Exchange in Gray Absorbing/Emitting Media

    18.4 Radiative Exchange in Gray Media with Isotropic Scattering

    18.5 Radiative Exchange Through A Nongray Medium

    18.6 Determination of Direct Exchange Areas



    Chapter 19. Collimated Irradiation and Transient Phenomena

    19.1 Introduction

    19.2 Reduction of the Problem

    19.3 The Modified P1-Approximation with Collimated Irradiation

    19.4 Short-Pulsed Collimated Irradiation with Transient Effects



    Chapter 20. Solution Methods for Nongray Extinction Coefficients

    20.1 Introduction

    20.2 The Mean Beam Length Method

    20.3 Semigray Approximations

    20.4 The Stepwise-Gray Model (Box Model)

    20.5 General Band Model Formulation

    20.6 The Weighted-Sum-of-gray-Gases (WSGG) Model

    20.7 k-Distribution Models

    20.8 The Full Spectrum k-Distribution (FSK) Method for Homogeneous Media

    20.9 The Spectral-Line-Based Weighted Sum of Gray Gases (SLW)

    20.10 The FSK Method for Nonhomogeneous Media

    20.11 Evaluation of k-Distributions



    Chapter 21. The Monte Carlo Method for Participating Media

    21.1 Introduction

    21.2 Heat Transfer Relations for Participating Media

    21.3 Random Number Relations for Participating Media

    21.4 Treatment of Spectral Line Structure Effects

    21.5 Overall Energy Conservation

    21.6 Discrete Particle Fields

    21.7 Efficiency Considerations

    21.8 Backward Monte Carlo

    21.9 Direct Exchange Monte Carlo

    21.10 Example Problems



    Chapter 22. Radiation Combined with Conduction and Convection

    22.1 Introduction

    22.2 Combined Radiation and Conduction


    Additive Solutions

    Other Work

    22.3 Melting and Solidification with Internal Radiation

    22.4 Combined Radiation and Convection in Boundary Layers

    22.5 Combined Radiation and Free Convection

    22.6 Combined Radiation and Convection in Internal Flow

    22.7 Combined Radiation and Combustion

    22.8 Interfacing Between Turbulent Flow Fields and Radiation

    22.9 Interaction of Radiation with Turbulence

    22.10 Radiation in Concentrating Solar Energy Systems



    Chapter 23. Inverse Radiative Heat Transfer

    23.1 Introduction

    23.2 Solution Methods

    23.3 Regularization

    23.4 Gradient-Based Optimization

    23.5 Metaheuristics

    23.6 Summary of Inverse Radiation Research



    Chapter 24. Nanoscale Radiative Transfer

    24.1 Introduction

    24.2 Coherence of Light

    24.3 Evanescent Waves

    24.4 Radiation Tunneling

    24.5 Surface Waves (Polaritons)

    24.6 Fluctuational Electrodynamics

    24.7 Heat Transfer Between Parallel Plates

    24.8 Experiments on Nanoscale Radiation



    Appendix A. Constants and Conversion Factors

    Appendix B. Tables for Radiative Properties of Opaque Surfaces

    Appendix C. Blackbody Emissive Power Table

    Appendix D. View Factor Catalogue


    Appendix E. Exponential Integral Functions

    Appendix F. Computer Codes




Product details

  • No. of pages: 904
  • Language: English
  • Copyright: © Academic Press 2013
  • Published: February 1, 2013
  • Imprint: Academic Press
  • eBook ISBN: 9780123869906

About the Author

Michael Modest

Michael F. Modest received his PhD from the University of California, Berkeley. He is currently Distinguished Professor Emeritus at the University of California, Merced. His research interests include all aspects of radiative heat transfer; in particular heat transfer in combustion systems, heat transfer in hypersonic plasmas, and laser processing of materials. For several years, he taught at the Rensselaer Polytechnic Institute and the University of Southern California, followed by 23 years as a Professor of mechanical engineering at The Pennsylvania State University. Dr. Modest is a recipient of the Heat Transfer Memorial award, the Humboldt Research award, and the AIAA Thermophysics award, among many others. He is an honorary member of the ASME, and an Associate Fellow of the AIAA.

Affiliations and Expertise

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

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  • EnricoMacrelli Sun Nov 04 2018

    Excellent book!

    Excellent book!