Transient heat conduction in multiphase media

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Abstract
An analytical solution is obtained for the problem of a semi-infinite mass of material initially at a uniform temperature, the surface of which is maintained at a different constant temperature, where the material may change phase an arbitrary number of times in passing from its initial to its final temperature. Each phase of the material may have distinct thermal properties. Each change of phase is assumed to take place at a given temperature and may be accompanied by the evolution or absorption of heat. The solution is obtained by a semi-inverse procedure. A numerical example is given of the application of the solution to the analysis of the solidification of 0.2% carbon steel and comparison is made between the theoretical solution, experimental results and an electrical analogue solution of the same problem.

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