An exact solution for the finite Stefan problem with temperature-dependent thermal conductivity and specific heat
Abstract Similar solutions are obtained by means of the enthalpic method for the finite one-dimensional Stefan problem in different geometries. Thermal conductivity and specific heat vary as a power of temperature. The solutions found are applied to a food freezing/thawing problem, magma solidification and thermal energy storage. In this way, the exact expression obtained for freezing time is more general than the empirical one developed by Plank.