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: A short-time solution for two-dimensional change-of-phase problems for a half space is developed. The problems are such that melting starts at a point of the surface and spreads both along the surface and towards the interior of the body. Heating is applied by an analytic but otherwise general heat input. It is found that the shape of the melt interface is, when normalized, a universal function, i.e. independent of both the applied heat input and the material properties. Initial melt propagation normal to and along the surface are proportional to y to the 3/2 power and y to the 1/2 power respectively, where y is the non-dimensional time measured from the start of melting. (Author)

The starting solution for two-dimensional heat conduction problems with change of phase