Three-dimensional dynamics of a pair of deformable bubbles rising initially in line. Part 2. Highly inertial regimes

Three-dimensional dynamics of a pair of deformable bubbles rising initially in line. Part 2. Highly inertial regimes
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一对最初排成一行的可变形气泡的三维动力学。

DOI:
10.1017/jfm.2022.416
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发表时间:
2022-01
影响因子:
3.7
通讯作者:
Magnaudet Jacques
Magnaudet Jacques
中科院分区:
工程技术2区
文献类型:
--
作者:
Zhang Jie;Ni Ming-Jiu;Magnaudet Jacques

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对一对在线释放的气泡的浮力驱动动力学进行了数值研究,重点关注孤立气泡遵循非直线路径的高惯性条件。在早期阶段,第二个气泡总是从前一个气泡的尾迹中漂出。然后,根据定义系统伽利略 ( $Ga$ ) 和邦德 ( $Bo$ ) 数的浮力、粘性和毛细管力的比率,确定了针对此类条件的五种不同的状态,其中两个气泡可能独立上升,也可能继续相互作用,最终可能发生碰撞。在前一种情况下,它们通常在同一平面内或在两个不同的平面内执行大幅平面锯齿形运动,具体取决于前导气泡的扁率。然而,对于足够大的 $Ga$ 和足够低的 $Bo$ ,它们遵循几乎垂直的路径,并且具有小幅度的不稳定水平偏差。增加 $Bo$ 会使尾流引起的对领先气泡的吸引力更强,迫使两个气泡在上升过程中垂直重新排列一次或多次。在这样的序列中,尾流涡流可能会撞击尾随的气泡,使其路径偏转,并且根据情况,促进或阻碍进一步相互作用的可能性。在某些情况下,改变两个气泡之间的初始距离会改变它们超出初始阶段的横向分离。类似地,微小的初始角度偏差有利于选择两个气泡共有的单个垂直上升平面。这些变化可能会极大地影响串联的命运,因为它们会促进或阻止未来的垂直重组,具体取决于 $Bo$ 。
The buoyancy-driven dynamics of a pair of gas bubbles released in line is investigated numerically, focusing on highly inertial conditions under which isolated bubbles follow non-straight paths. In an early stage, the second bubble always drifts out of the wake of the leading one. Then, depending on the ratios of the buoyancy, viscous and capillary forces which define the Galilei ( $Ga$ ) and Bond ( $Bo$ ) numbers of the system, five distinct regimes specific to such conditions are identified, in which the two bubbles may rise independently or continue to interact and possibly collide in the end. In the former case, they usually perform large-amplitude planar zigzags within the same plane or within two distinct planes, depending on the oblateness of the leading bubble. However, for large enough $Ga$ and low enough $Bo$ , they follow nearly vertical paths with small-amplitude erratic horizontal deviations. Increasing $Bo$ makes the wake-induced attraction toward the leading bubble stronger, forcing the two bubbles to realign vertically one or more times along their ascent. During such sequences, wake vortices may hit the trailing bubble, deflecting its path and, depending on the case, promoting or hindering further possibilities of interaction. In some regimes, varying the initial distance separating the two bubbles modifies their lateral separation beyond the initial stage. Similarly, minute initial angular deviations favour the selection of a single vertical plane of rise common to both bubbles. These changes may dramatically affect the fate of the tandem as, depending on $Bo$ , they promote or prevent future vertical realignments.
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发表时间: 2019-07
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