Calculation of moving phase boundaries with latent heat

摘要

An integrodifferential equation is derived which describes the motion of a phase transition of nonvanishing latent heat in a homogeneous body from a knowledge of only the Green's function and heat source, if present. As the temperature distribution no longer appears in the final equation for the surface, a reduction of one dimension over and above those afforded by symmetries is achieved. This is practically imperative for computer solutions involving realistic geometries. The method is applicable to problems in such diverse fields as metallurgy, vulcanology, and laser interaction with materials.