ABSTRACT
The Galerkin-based Green’s function (GF) solution of the diffusion equation is presented in Chapter 10, which also contains simple one-dimensional examples that demonstrate the method of solution and that discuss the accuracy of the results. In this chapter, the Galerkin-based GF solution method is extended to more advanced problems. Thermal conduction in multidimensional bodies is presented in Section 11.2. In Section 11.3 the basis functions are modified so that conduction in heterogeneous materials can be accommodated. Then, in Section 11.4, the GF solution is developed and applied to steady-state conduction problems. Finally, a study of heat transfer in the thermal entrance region of ducts is included in Section 11.5.
