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首页> 外文期刊>Journal of Fluid Mechanics >Breakup of thin liquid sheets through hole-hole and hole-rim merging
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Breakup of thin liquid sheets through hole-hole and hole-rim merging

机译：通过孔洞和孔边缘合并的薄液体板的分解

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摘要

The dynamics of the merging of two distinct holes (hole-hole) and a single hole with a straight rim (hole-rim) are investigated using three-dimensional numerical simulations. Thin liquid sheets with thicknesses ranging from to are considered using air/water conditions. Preliminary simulations of a single hole expansion and the retraction of a bounded liquid sheet edge have shown good agreements with the well-known Taylor-Culick end rim regime. For the hole-hole and the hole-rim cases, our computations reveal that the liquid bridge, formed after the merging, is subjected to three different motions: the extension of the bridge, the mid-plane contraction and vertical/horizontal oscillations of its diameter, with an exponentially decaying amplitude. The mid-plane diameter of the liquid bridge is shown to decrease linearly with time for the hole-rim case while a faster quadratic decrease is observed for the hole-hole case. The small ratio of the extension rate to the capillary contraction rate indicates a slow extension limit of the bridge. However, the liquid bridge does not contract and pinch off on a single point, as predicted in the literature, and its central part forms a cylindrical ligament. Thus, this cylindrical part pinches off at its ends and forms a receding ligament with bulbous ends which can either detach by the end-pinching mechanism or remain attached, recoil and merge into a single large drop. The size of the formed drop, in the case where the ligament does not break, is later expressed as a power-law function of the initial liquid sheet thickness.
机译：利用三维数值模拟研究了两个不同孔（孔-孔）和一个带直边的单孔（孔-边）的合并动力学。使用空气/水条件时，可考虑厚度在至之间的薄液膜。对单孔扩张和有界液体片边缘收缩的初步模拟表明，与著名的泰勒-库里克端缘机制有很好的一致性。对于孔-孔和孔-缘情况，我们的计算表明，合并后形成的液体桥受到三种不同的运动：桥的延伸、中间平面收缩和直径的垂直/水平振动，振幅呈指数衰减。液桥的中面直径在孔缘情况下随时间呈线性减小，而在孔-孔情况下则呈较快的二次减小。延伸率与毛细血管收缩率的比值很小，表明桥的延伸极限很慢。然而，液体桥并不像文献中预测的那样，在一个点上收缩和收缩，其中心部分形成一个圆柱形韧带。因此，这个圆柱形的部分在其末端被挤压，形成一个带有球茎末端的后退韧带，球茎末端可以通过末端挤压机制分离，或者保持连接、反冲并合并成一个大水滴。在韧带未断裂的情况下，形成液滴的大小随后表示为初始液片厚度的幂律函数。

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