局部加热同轴光纤毛细不稳定性中的颗粒尺寸选择
Particle size selection in capillary instability of locally heated co-axial fiber
摘要：
利用流体不稳定性来生产具有稳健和规则特性的结构最近已成为一种新的制造范例。这在Gumennik等人[Nat.Comm.4：2216，DOI：10.1038/ncomms 3216，（2013）]的工作中举例说明，其中作者通过将二氧化硅包硅同轴纤维进料到火焰中来制造硅球。在硅的局部熔化之后，硅-二氧化硅界面的毛细管不稳定性诱导均匀硅球的形成。在这里，我们试图解开在选择这些颗粒的大小，这是值得注意的观察Gumennik等人的物理机制。随着纤维被送入火焰的速度单调变化。使用来自标准的长波长近似的简化模型，我们表明，线性稳定性分析在预测选定的颗粒尺寸显着失败。然而，简化模型的非线性模拟确实恢复了实验中观察到的颗粒尺寸，而无需任何可调参数。这表明，在这个系统中的硅球的形成是一个本质上的非线性过程，有很少的共同之处的基本流解决方案的稳定性的损失。
英文摘要：
Harnessing fluidic instabilities to produce structures with robust and regular properties has recently emerged as a new fabrication paradigm. This is exemplified in the work of Gumennik et al. [Nat. Comm. 4:2216, DOI: 10.1038/ncomms3216, (2013)], in which the authors fabricate silicon spheres by feeding a silicon-in-silica co-axial fiber into a flame. Following the localized melting of the silicon, a capillary instability of the silicon-silica interface induces the formation of uniform silicon spheres. Here, we try to unravel the physical mechanisms at play in selecting the size of these particles, which was notably observed by Gumennik et al. to vary monotonically with the speed at which the fiber is fed into the flame. Using a simplified model derived from standard long-wavelength approximations, we show that linear stability analysis strikingly fails at predicting the selected particle size. Nonetheless, nonlinear simulations of the simplified model do recover the particle size observed in experiments, without any adjustable parameters. This shows that the formation of the silicon spheres in this system is an intrinsically nonlinear process that has little in common with the loss of stability of the underlying base flow solution.
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