On the influence of gravity on particle accumulation structures in high aspect-ratio liquid bridges
On the influence of gravity on particle accumulation structures in high aspect-ratio liquid bridges
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DOI：
10.1017/jfm.2020.882
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发表时间：
2020-12-10
影响因子：
3.7
通讯作者：
Lappa, Marcello
中科院分区：
文献类型：
--
作者：
Capobianchi, Paolo;Lappa, Marcello
本文着重分析了正常重力条件下非圆柱形液桥中所谓的颗粒聚集结构（PAS）的性质。在这方面，它遵循并整合了Lappa（J. Fluid Mech.，Vol.726，2013，160），其中主要关注高频振动的影响。在发现（几乎未被注意到）一种结构（Sasaki et al. Trans. Japan Soc. Mech. Engrs B，vol.70，2004）之后，在综合欧拉-拉格朗日方法的框架中进行专门的数值模拟，该结构似乎逃脱了基于这种现象的现有分类或范例的简单分类。条件被认为是相应的等密度和非等密度粒子在一个液体桥与高纵横比，高普朗特数流体和流体静力学变形的界面。特别注意的是非常难以捉摸的方位波数m = 1，PAS似乎是可能的，只有在一个非常有限的范围内的Marangoni数。两个不同的家庭的粒子吸引子被确定，共存于空间的参数作为多个解决方案。我们表明，解开相关的吸引力盆地所需的关键成分是重力对粒子的影响，因此，这可能被视为一个额外的机制，负责在陆地液体桥形成这些结构。
This analysis focuses on the properties of the so-called particle accumulation structures (PAS) in non-cylindrical liquid bridges in normal gravity conditions. In this regard, it follows and integrates the line of inquiry started in Lappa (J. Fluid Mech., vol. 726, 2013, 160) where the main focus was on the effect of high-frequency vibrations. After the discovery (passed almost unnoticed) of a structure (Sasaki et al. Trans. Japan Soc. Mech. Engrs B, vol. 70, 2004) that seems to escape a simple classification on the basis of existing categorizations or paradigms for this type of phenomena, dedicated numerical simulations are carried out in the framework of an integrated Eulerian-Lagrangian approach. Conditions are considered corresponding to isodense and non-isodense particles in a liquid bridge with high aspect ratio, high Prandtl number fluid and hydrostatically deformed interface. Special attention is paid to the very elusive azimuthal wavenumber m = 1, for which PAS seem to be possible only in a very restricted range of Marangoni numbers. Two distinct families of particle attractors are identified, which coexist in the space of parameters as multiple solutions. We show that the key ingredient needed to unravel the related basins of attraction is the effect of gravity on particles, which may therefore be regarded as an additional mechanism responsible for the formation of these structures in terrestrial liquid bridges.