Rsearch on Heat Conduction with Freezing : 1st Report; Numerical Method on Stefan's Problem

抄録

The numerical method on the transient heat conduction with temperature-dependent thermal properties by the authors is extended to the solution of heat conduction with freezing or melting. In this method, multiphase problems are reduced to single phase ones by using a temperature-dependent function for heat capacity in which the latent heat is taken into account. The main advantages of this method are that problems on freezing or melting can be handled with substances having a fixed melting point and/or unfixed melting point but melting ranges, and that it can easily be applied to two dimensional problems. The freezing of water is mainly examined in this paper. The numerical results are compared with experimental results and Neumann's exact solution, and the results are indicated to be satisfactorily accurate for the solution of heat conduction with freezing or melting.