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We investigate an ice block melting in a box and reveal that the aspect ratio and ambient temperature play a crucial role in the melting process, leading to substantial variations in melt rates and shape evolution. In general, the shape which melts the slowest is quite distinct from that of a disk, due to the symmetry breaking by buoyancy-driven thermal convection. Predicting their melting rates is crucial for understanding the interplay between melting icebergs with the climate.
Yang et al. (Wed,) studied this question.