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.
- Foundations of Heat Transfer
- General Heat Conduction Equation.
- One-Dimensional Steady-State Heat Conduction.
- The Sturm-Liouville Theory and Fourier Expansions.
- Steady-State Two- and Three-Dimensional Heat Conduction: Solutions with Separation of Variables.
- Unsteady-State Heat Conduction: Solutions with Separation of Variables
- Solutions with Integral Transforms.
- Solutions with Laplace Transforms.
- Heat Conduction with Local Heat Sources.
- Further Analytical Methods of Solution.
- Heat Conduction Involving Phase Change.
- Numerical Solutions.
- 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.