Effect of viscosity on motion of splashing crown in high speed drop impact

doi:10.1007/s10483-017-2282-7

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (12): 1709-1720.doi: https://doi.org/10.1007/s10483-017-2282-7

Effect of viscosity on motion of splashing crown in high speed drop impact

Shihao YANG¹, Yi AN¹, Qingquan LIU²

1. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
2. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2017-03-27 修回日期:2017-06-06 出版日期:2017-12-01 发布日期:2017-12-01
通讯作者: Yi AN E-mail:anyi@imech.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11672310 and 11372326) and the National Basic Research Program of China (No. 2014CB04680202)

Effect of viscosity on motion of splashing crown in high speed drop impact

Shihao YANG¹, Yi AN¹, Qingquan LIU²

1. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
2. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China

Received:2017-03-27 Revised:2017-06-06 Online:2017-12-01 Published:2017-12-01
Contact: Yi AN E-mail:anyi@imech.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11672310 and 11372326) and the National Basic Research Program of China (No. 2014CB04680202)

摘要/Abstract

摘要： A splashing crown is commonly observed when a high-speed drop impacts a liquid film. The influence of the liquid viscosity on the crown's evolution is not yet clear. We review several existing theories of this problem, and carry out a series of numerical simulations. We find that a three-segment model can describe the crown's motion. In the very early stage when the crown is barely visible, the influence of viscosity is small. Later, a shallow water approach used in most existing models is applicable as long as the initial conditions are formulated properly. They depend on viscous dissipation in the intermediate period. Preliminary estimation based on a dissipation function is proposed to characterize the influence of viscosity in this problem.

关键词: neural network, adaptive control, coupled level-set volume of fluid (CLSVOF) method, drop impact, crown, viscosity

Abstract: A splashing crown is commonly observed when a high-speed drop impacts a liquid film. The influence of the liquid viscosity on the crown's evolution is not yet clear. We review several existing theories of this problem, and carry out a series of numerical simulations. We find that a three-segment model can describe the crown's motion. In the very early stage when the crown is barely visible, the influence of viscosity is small. Later, a shallow water approach used in most existing models is applicable as long as the initial conditions are formulated properly. They depend on viscous dissipation in the intermediate period. Preliminary estimation based on a dissipation function is proposed to characterize the influence of viscosity in this problem.

Key words: neural network, adaptive control, viscosity, coupled level-set volume of fluid (CLSVOF) method, drop impact, crown

中图分类号:

76T10

Shihao YANG, Yi AN, Qingquan LIU. Effect of viscosity on motion of splashing crown in high speed drop impact[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(12): 1709-1720.

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Effect of viscosity on motion of splashing crown in high speed drop impact

Effect of viscosity on motion of splashing crown in high speed drop impact

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