Motion of a Melting Particle / O. O. Ivanov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2018. № 6. P. 74-78 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 141-144].

The motion of a single melting spherical particle in its own melt is considered. A formula for the thrust appearing due to flow around the melting particle is derived. The self-similar melting problem is solved for a particle at rest in a quiescent melt to determine the radius of the particle. For a small Reynolds number, it is shown that there exists a critical temperature difference between the particle and the melt such that the accelerating and decelerating modes of motion are separated.

Key words: melting, thrust, overheated melt.