Pressure generated at the instant of impact between a liquid droplet and solid surface
Pressure generated at the instant of impact between a liquid droplet and solid surface
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DOI：
10.1098/rsos.181101
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发表时间：
2018-12
影响因子：
3.5
通讯作者：
Y. Tatekura;M. Watanabe;K. Kobayashi;T. Sanada
中科院分区：
文献类型：
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作者：
Y. Tatekura;M. Watanabe;K. Kobayashi;T. Sanada
这项研究的主要目的是回答这个问题：球形液滴撞击固体表面的瞬间产生的压力有多大？恩格尔首先提出，球形液滴撞击固体表面所产生的最大压力上升与一维水击压力相差一个球形形状因子(Engel 1955 J.Res.Natl Bur)。站。55(5)、281-298)。自那以后，许多研究人员提出了各种因素来准确预测最大压力上升。通过数值计算发现，结合水击理论和冲击关系可以预测最大压升；然后，我们对恩格尔的弹性冲击模型进行了解析扩展，发现在冲击瞬间，气液界面与固体表面接触的推进速度远远快于压缩波前的传播速度。我们成功地修正了恩格尔的理论，使其能够准确地提供球形液滴与固体表面碰撞瞬间的最大压升，也就是说，理论中没有出现形状因子。
The prime objective of this study is to answer the question: How large is the pressure developed at the instant of a spherical liquid droplet impact on a solid surface? Engel first proposed that the maximum pressure rise generated by a spherical liquid droplet impact on a solid surface is different from the one-dimensional water-hammer pressure by a spherical shape factor (Engel 1955 J. Res. Natl Bur. Stand. 55(5), 281–298). Many researchers have since proposed various factors to accurately predict the maximum pressure rise. We numerically found that the maximum pressure rise can be predicted by the combination of water-hammer theory and the shock relation; then, we analytically extended Engel’s elastic impact model, by realizing that the progression speed of the contact between the gas–liquid interface and the solid surface is much faster than the compression wavefront propagation speed at the instant of the impact. We successfully correct Engel’s theory so that it can accurately provide the maximum pressure rise at the instant of impact between a spherical liquid droplet and solid surface, that is, no shape factor appears in the theory.