Perturbation Techniques in Condition-Controlled Freeze-Thaw Heat Transfer

摘要

Heat transfer with change of phase (freezing or melting) is important in numerousscientific and engineering applications. Since the pioneering works of Lame and Clapeyron, Neumann and Stefan, a number of analytical and numerical techniques have been developed to deal with freezing and melting problems. One such analytical tool is the method of perturbation expansions, which is the main focus of this work. The report begins with a review of the perturbation theory and outlines the regular perturbation method, the method of strained coordinates, the method of matched asymptotic expansions, and the recently developed method of extended perturbation series. Next, the applications of these techniques to phase change problems in Cartesian, cylindrical, and spherical systems are discussed in detail. Although the bulk of the discussion is confined to one-dimensional