arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1502.02869physics.flu-dyn
收藏

液体撞击时的空气卷吸通用机构

Universal mechanism for air entrainment during liquid impact

Maurice H. W. Hendrix, Wilco Bouwhuis, Devaraj van der Meer, Detlef Lohse, Jacco H. Snoeijer

摘要:

当一个毫米大小的液滴接近一个深的液体池,液滴和池的界面变形之前,液滴接触池。在聚结之前空气压力的积累是造成这种变形的原因。由于这种变形,在冲击期间,空气可以被夹带在液滴的底部。我们量化的夹带空气的数量数值,使用边界积分法(BIM)的潜在流量的下降和池,再加上粘性润滑理论的空气膜,在冲击过程中被挤出。我们将我们的结果与各种实验数据进行比较,并发现在冲击过程中被困在水池中的空气量非常一致。其次,对刚性球体撞击水池进行了数值研究,在这种情况下捕获的空气也与现有的实验数据相匹配。在液滴和球体撞击池的两种情况下,气泡体积V_b的数值计算结果都符合理论标度V_b/ V_{drop/sphere} ~ St^{-4/3},其中St为Stokes数。这与先前研究中发现的液滴撞击固体表面的比例相同。这意味着一个通用的机制,为这些不同的影响情况下,这已经在最近的实验工作中提出的空气卷吸,但现在进一步阐明与数值结果。

英文摘要:

When a mm-sized liquid drop approaches a deep liquid pool, both the interface of the drop and the pool deform before the drop touches the pool. The build up of air pressure prior to coalescence is responsible for this deformation. Due to this deformation, air can be entrained at the bottom of the drop during the impact. We quantify the amount of entrained air numerically, using the Boundary Integral Method (BIM) for potential flow for the drop and the pool, coupled to viscous lubrication theory for the air film that has to be squeezed out during impact. We compare our results to various experimental data and find excellent agreement for the amount of air that is entrapped during impact onto a pool. Next, the impact of a rigid sphere onto a pool is numerically investigated and the air that is entrapped in this case also matches with available experimental data. In both cases of drop and sphere impact onto a pool the numerical air bubble volume V_b is found to be in agreement with the theoretical scaling V_b/V_{drop/sphere} ~ St^{-4/3}, where St is the Stokes number. This is the same scaling that has been found for drop impact onto a solid surface in previous research. This implies a universal mechanism for air entrainment for these different impact scenarios, which has been suggested in recent experimental work, but is now further elucidated with numerical results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑