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The purpose of the book is to organize the solution of heat conduction and diffusion problems and to make them more accessible. This is accomplished using the method of Green’s functions, together with extensive tables of Green’s functions and related integrals. The tables of Green’s function were first compiled as a supplement to a first-year graduate course in heat conduction. The book was originally envisioned as a reference volume, but it has since grown into a heat conduction treatise from a Green’s-functions perspective.
Heat Conduction Basics 1.Introduction to Green's Functions 2.Numbering System in Heat Conduction 3.Derivation of the Green's Function Solution Equation 4.Methods for Obtaining Green's Functions 5.Time Partitioning, Acceleration of Series, and Numerical Integration 6.Rectangular Coordinates 7.Radial Heat Flow in Cylindrical Coordinates 8.Other Geometries in Cylindrical Coordinates 9.Green's Function Solutions in Radial Spherical Coordinates 10.Galerkin-Based Green's Functions and Solutions 11.Applications of the Galerkin-Based Green's Functions 12.Unsteady Surface Element Method