Tritscher, P.; Broadbridge, P. A similarity solution of a multiphase Stefan problem incorporating general nonlinear heat conduction. (English) Zbl 0926.76119 Int. J. Heat Mass Transfer 37, No. 14, 2113-2121 (1994). Summary: A nonlinear diffusion model of Fujita is adapted to obtain an analytic solution describing the temperature distribution and position of any number of phase boundaries as a material cools on an effectively semi-infinite base material. Each material is initially homogeneous and at a uniform temperature. The solution method may incorporate any materials with temperature-dependent thermal properties undergoing any number of phase changes. As an example, we incorporate transitions through five phases of iron with nonlinear heat conduction, as the iron cools on a copper base. Cited in 10 Documents MSC: 76T99 Multiphase and multicomponent flows 80A22 Stefan problems, phase changes, etc. 80A20 Heat and mass transfer, heat flow (MSC2010) PDFBibTeX XMLCite \textit{P. Tritscher} and \textit{P. Broadbridge}, Int. J. Heat Mass Transfer 37, No. 14, 2113--2121 (1994; Zbl 0926.76119) Full Text: DOI