论文标题

浮力和Marangoni对水平色带生长的影响

Buoyancy and Marangoni Effects on Horizontal Ribbon Growth

论文作者

Bagheri-Sadeghi, Nojan, Helenbrook, Brian T.

论文摘要

对硅的水平色带生长进行了不稳定的模拟,其中包括Marangoni和浮力效应。在自由表面的局部温度最小值附近出现了强大的Marangoni驱动的喷气机,观察到混乱的流动。这种振荡流导致板的前缘的垂直位置波动,从而在色带的顶部表面发生波纹。另外,较大的振幅和波长不均匀性出现在纸张底部,导致厚度变化的板。最后,不稳定的流动导致生长速率的时间变化,当使用拉力速度转换为距离时,与在顶表面上观察到的波长匹配。所有这三个现象都已通过实验观察到:表面波长和幅度的中位数随表面张力的温度敏感性的提高而降低,并且与实验相同的波长,对于与未污染的硅的灵敏度相同。使用被动锑界定和厚度变化已经在清除薄板后测量了生长速率的振荡。这些结果表明,混乱的流动使使用HRG充满挑战性生产薄的均匀床单。

Unsteady simulations of horizontal ribbon growth of silicon were performed that included both Marangoni and buoyancy effects. A chaotic flow was observed dominated by strong Marangoni-driven jets emerging near the local temperature minima on the free surface. This oscillatory flow caused the vertical position of the leading edge of the sheet to fluctuate, resulting in corrugations on the top surface of the ribbon. Additionally, larger amplitude and wavelength nonuniformities appeared on the bottom of the sheet resulting in a sheet with varying thickness. Lastly, the unsteady flow caused temporal variations in growth rate, which when converted to distance using the pull speed, matched the wavelengths observed on the top surface. All three of these phenomena have been observed experimentally: The median of the surface wavelengths and amplitudes decreased with increasing temperature sensitivity of surface tension and had wavelengths on the same order as experiments for a sensitivity corresponding to uncontaminated silicon. Oscillations in growth rate have been observed using passive antimony demarcation and thickness variations have been measured after sheet removal. These results indicate that the chaotic flow makes producing thin uniform sheets using HRG challenging.

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