Abstract
Two-dimensional freezing problems with heat conduction in cooling walls were analyzed by the finite element method and simulation experiments were carried out.
In the first step of the analysis, heat transfer in solid and liquid phase was treated as pure heat conduction. The calculated results of the freezing rate and temperature distribution in the solid phase approximately agreed with the experiments. However, the experimental study revealed that the temperature profile in the liquid phase was uniform due to natural convection. Thus a modified model was proposed by assuming complete mixing in the liquid phase. This assumption was proved to be useful for predicting the freezing rate and temperature distribution in solid and liquid phase.
