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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018 Number 6, Pages 74–78 (Mi vmumm589)

This article is cited in 1 paper

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Motion of a melting particle

O. O. Ivanov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: 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.

Key words: melting, thrust, overheated melt.

UDC: 532.5.013

Received: 08.12.2017


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2018, 73:6, 141–144

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