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高韦伯数下的二元液滴碰撞

Binary droplet collision at high Weber number.

作者信息

Pan Kuo-Long, Chou Ping-Chung, Tseng Yu-Jen

机构信息

Department of Mechanical Engineering, National Taiwan University, Taipei 106, Taiwan, Republic of China.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Sep;80(3 Pt 2):036301. doi: 10.1103/PhysRevE.80.036301. Epub 2009 Sep 1.

DOI:10.1103/PhysRevE.80.036301
PMID:19905206
Abstract

By using the techniques developed for generating high-speed droplets, we have systematically investigated binary droplet collision when the Weber number (We) was increased from the range usually tested in previous studies on the order of 10 to a much larger value of about 5100 for water (a droplet at 23 m/s with a diameter of 0.7 mm). Various liquids were also used to explore the effects of viscosity and surface tension. Specifically, beyond the well-known regimes at moderate We's, which exhibited coalescence, separation, and separation followed by satellite droplets, we found different behaviors showing a fingering lamella, separation after fingering, breakup of outer fingers, and prompt splattering into multiple secondary droplets as We was increased. The critical Weber numbers that mark the boundaries between these impact regimes are identified. The specific impact behaviors, such as fingering and prompt splattering or splashing, share essential similarity with those also observed in droplet-surface impacts, whereas substantial variations in the transition boundaries may result from the disparity of the boundary conditions at impacts. To compare the outcomes of both types of collisions, a simple model based on energy conservation was carried out to predict the maximum diameter of an expanding liquid disk for a binary droplet collision. The results oppose the dominance of viscous drag, as proposed by previous studies, as the main deceleration force to effect a Rayleigh-Taylor instability and ensuing periphery fingers, which may further lead to the formations of satellite droplets.

摘要

通过使用为产生高速液滴而开发的技术,我们系统地研究了二元液滴碰撞,其中韦伯数(We)从先前研究中通常测试的约10的范围增加到水的约5100的大得多的值(直径为0.7mm的液滴以23m/s的速度运动)。还使用了各种液体来探究粘度和表面张力的影响。具体而言,除了在中等韦伯数下众所周知的呈现聚并、分离以及分离后伴有卫星液滴的情况外,我们发现随着韦伯数增加,会出现不同的行为,包括指状薄片、指状后分离、外指破碎以及迅速溅射到多个次级液滴中。确定了标志这些碰撞状态之间边界的临界韦伯数。诸如指状以及迅速溅出或飞溅等具体碰撞行为与在液滴 - 表面碰撞中观察到的行为基本相似,而过渡边界的显著变化可能源于碰撞时边界条件的差异。为了比较这两种碰撞的结果,基于能量守恒进行了一个简单模型来预测二元液滴碰撞中扩展液体盘的最大直径。结果与先前研究提出的粘性阻力作为导致瑞利 - 泰勒不稳定性及随后周边指状物形成(这可能进一步导致卫星液滴形成)的主要减速力的主导地位相悖。

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