Heat Conduction

1 Introductory Remarks.- 1.1 Fundamental Concepts.- 1.2 Fourier's Equation.- 1.3 Initial and Boundary Conditions.- 2 Transport Properties.- 2.1 Thermal Conductivity of Metals and Alloys.- 2.2 Transport Processes in Dilute Gases.- 2.3 Heat Conduction through Laminated Bodies.- 2.4 Order of Magnitude of Heat Fluxes and Coefficients.- 3 One-Dimensional, Steady-State Heat Conduction.- 3.1 Introductory Remarks.- 3.2 Péclet's Equations.- 3.3 Quasi-steady Heat Conduction.- 3.4 Extended Surfaces.- 4 Steady-State Conduction in the Presence of Heat Sources.- 5 Steady-State Conduction in Several Dimensions.- 5.1 Shape Factor and Shape Resistance.- 5.2 Kirchhoff's Transformation.- 5.3 Conformal Mapping.- 5.4 Fictitious Heat Sources and Sinks.- 5.5 Graphical Methods.- 5.6 Relaxation Method.- 5.7 Experimental Analogs.- 5.7.2 Soap-film Analogy.- 5.8 Summary of Shape Factors.- 6 Nonsteady One-Dimensional Heat Conduction.- 6.1 Fundamental Solutions of the Fourier Equation.- 6.2 Dimensional Analysis.- 6.3 Semi-infinite Body.- 6.4 Two Semi-infinite Bodies in Thermal Contact.- 6.5 Duhamel's Theorem.- 6.6 Temperature Equalization in Simple Bodies.- 6.7 Approximate Solutions.- 6.8 Method of Finite Differences.- 6.9 Experimental Analogs.- 6.10 The Laplace Transformation.- 6.11 Periodic Temperature Variation.- 7 Thermal Explosions.- 8 Continuously Operating Heat Sources.- 9 Moving Sources.- 10 Nonsteady Heat Conduction in Several Dimensions.- 11 Nonsteady Heat Conduction with Phase Transition.- 11.1 Neumann's Exact Solution.- 11.2 The Quasi-steady Approximations.- References.- Appendix A International System of Units.- Appendix B Conversion of Units.- Appendix C The Universal Constants of Physics.- Appendix D Characteristic Dimensionless Numbers in Heat and Mass Transfer.- Appendix E Thermophysical Properties of Solids, Liquids, and Gases.- Appendix F Thermal Conductivity of Liquids at Moderate Pressures.- Appendix G Tables of Mathematical Functions.