Mathematical Models of Spontaneous Rotation of Ice on the Surface of Water

The results of theoretical and experimental studies of convective vortex flows formed during the melting of ice, as well as the physical and mathematical modeling of the phenomenon of spontaneous displacement and rotation of an ice disk on the surface of still water are presented. It is shown that the cause of the observed movements on the surface of initially still water is a cellular convective flow generated by the process of ice melting at the lower boundary of the disk, and a mathematical model of this rotation is constructed.