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.

中文翻译：

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融化粒子的运动

考虑单个熔化的球形颗粒在其自身的熔体中的运动。推导了由于在熔融颗粒周围流动而产生的推力的公式。对于静止的静止状态中的粒子，解决了自相似的熔化问题，以确定粒子的半径。对于较小的雷诺数，表明在颗粒和熔体之间存在临界温度差，使得运动的加速和减速模式分离。