Perturbation methods in heat transfer

The application of perturbation expansion techniques to the analysis of heat transfer in structures and materials is discussed. Among the specific techniques described are: regular perturbation expansions; singular perturbation expansions; the strained coordinates method; and matched asymptotic expansions. Consideration is also given to: extension analysis; the improvement of perturbation series; and Pritulo's (1962) algebraic strained coordinates technique. The techniques are applied to a series of example problems which are drawn from heat transfer theory. An extensive bibliography of heat transfer literature devoted to perturbation analysis is provided.