Abstract
The relationship between the supercooling and the shape of ice dendrite is investigated quantitatively and the quantitative measurement data are compared with calculated data by using the phase field model.
The shape of the ice dendrite tip is approximated by a paraboloid of revolution. The stability criterion of ice dendrite tip is calculated and it is shown that the shape of ice dendrite tip is unstable and side branches have a tendency to grow up.
The fractal dimension of ice dendrite is measured by applying Box-counting method. It is shown that the fractal dimension of ice dendrite is larger at higher supercooling and is also shown that the ice dendrites have fractal structures at lower supercooling.
By fitting the model parameters of the phase field model to the real ice dendrite growth, it is possible to simulate the ice dendrite growth.
