ABSTRACT
The Green’s function solution equation (GFSE) for transient heat conduction is derived in this chapter in several forms. First, the one-dimensional form for rectangular coordinates is derived for boundary conditions of the first, second, and third kinds. This form is easy to understand and examples are included to demonstrate how the equation is applied. Second, the GFSE is derived in a general three-dimensional form that applies to rectangular, cylindrical, and spherical coordinates. An even more general form of the GFSE is derived in Chapter 10; it covers the case of nonhomogeneous materials. Third, an alternative form particularly appropriate for nonhomogeneous boundary conditions is given. Fourth, a steady-state form is given and, finally, the GFSE is given for moving solids.
