Heat Conduction, Fifth Edition, upholds its reputation as the leading text in the field for graduate students, and as a resource for practicing engineers. The text begins with fundamental concepts, introducing the governing equation of heat conduction, and progresses through solutions for one-dimensional conduction, orthogonal functions, Fourier series and transforms, and multi-dimensional problems. Integral equations, Laplace transforms, finite difference numerical methods, and variational formulations are then covered. A systematic derivation of the analytical solution of heat conduction problems in heterogeneous media, introducing a more general approach based on the integral transform method, has been added in this new edition, along with new and revised problems, and complete problem solutions for instructors.
Introduces fundamental concepts, based around the governing equation of heat conduction
Progresses from one-dimensional conduction to multi-dimensional concepts and applications
Presents integral equations, Laplace transforms, finite difference methods, and variational formulations
Covers heat conduction with local heat sources, and heat conduction involving phase change
Includes new coverage of conductive heat transfer in heterogeneous media through the integral transform method
Preface
Nomenclature
Chapter 1 : Foundations of Heat Transfer Chapter 2 : General Heat Conduction Equation Chapter 3 : One-Dimensional Steady-State Heat Conduction Chapter 4 : The Sturm-Liouville Theory and Fourier Expansions Chapter 5 : Steady-State Two- and Three-Dimensional Heat Conduction : Solutions with Separation of Variables Chapter 6 : Unsteady-State Heat Conduction : Solutions with Separation of Variables Chapter 7 : Solutions with Integral Transforms Chapter 8 : Solutions with Laplace Transforms Chapter 9 : Heat Conduction with Local Heat Sources Chapter 10 : Further Analytical Methods of Solution Chapter 11 : Heat Conduction Involving Phase Change Chapter 12 : Numerical Solutions Chapter 13 : Heat Conduction in Heterogeneous Media
Appendix A : Thermophysical Properties
Appendix B : Bessel Functions
Appendix C : Error Function
Appendix D : Laplace Transforms
Appendix E : Exponential Integral Functions
Index