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Three-dimensional numerical simulation of rotating spoke pattern in an oxide melt under a magnetic field

机译:磁场下氧化物熔体中旋转辐条图案的三维数值模拟

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摘要

On the surface of various oxide melts under a vertical magnetic field, the rotating spoke pattern appears. In order to provide a first basic view of this phenomenon, a series of three-dimensional numerical simulations of LiNbO_3 melt flow in a crucible (47 mm x 46 mm~H) under a uniform vertical magnetic field were performed. In this model, the oxide melt was assumed to be a dielectric fluid with a uniform electric charge density (The Marangoni effect was also taken into account. The simulations indicated that the spoke pattern is caused by the Marangoni instability and the rotating motion is driven by the Lorentz force caused by the interaction between the vertical magnetic field and the radial motion of charged fiuid which is driven by the Rayleigh-Marangoni convection in the crucible. A charge density of 0.l C/m~3 is sufficient to express the experimentally observed rotating spoke patterns on the LiNbO_3 melt which were reported by Miyazawa et al. (l996).
机译:在垂直磁场下,在各种氧化物熔体的表面上出现旋转的辐条图案。为了提供该现象的第一基本观点,在均匀的垂直磁场下,对坩埚(47 mm x 46 mm〜H)中的LiNbO_3熔体流动进行了一系列三维数值模拟。在该模型中,假定氧化物熔体是具有均匀电荷密度的介电流体(还考虑了Marangoni效应。仿真表明,轮辐模式是由Marangoni不稳定性引起的,而旋转运动是由垂直磁场与带电流体的径向运动之间的相互作用所产生的洛伦兹力是由坩埚中的Rayleigh-Marangoni对流驱动的,电荷密度为0.l C / m〜3足以表示实验结果Miyazawa等人(1996)报道了在LiNbO_3熔体上观察到旋转的辐条图案。

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