Abstract
When a small water droplet is deposited on a cold surface, the freezing process transforms the droplet so that its upper portion attains a conical shape. Such a transformation occurs because the density of ice is lower than the density of water. Here, we assume that the freezing process in its final stage becomes self-similar, so the freezing front has a concave spherical shape, with a center that coincides with the vertex of the forming cone. This assumption gives a vertex angle of 65°, corresponding to a density ratio of 0.917, in a good agreement with experimental data.
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