Geodesic
Motion of a melting particle
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2018), pp. 74-78

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The motion of a melting spherical particle in own melt is considered. A formula for the thrust appearing during 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 a 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 regimes of motion are separated. 
@article{VMUMM_2018_6_a11,
     author = {O. O. Ivanov},
     title = {Motion of a melting particle},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {74--78},
     publisher = {mathdoc},
     number = {6},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2018_6_a11/}
}
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O. O. Ivanov. Motion of a melting particle. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2018), pp. 74-78. http://geodesic.mathdoc.fr/item/VMUMM_2018_6_a11/