Evolution of cavity size and energy conversion due to droplet impact on a water surface

doi:10.1016/j.cjche.2023.04.001

Chinese Journal of Chemical Engineering ›› 2023, Vol. 62 ›› Issue (10): 261-269.DOI: 10.1016/j.cjche.2023.04.001

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Evolution of cavity size and energy conversion due to droplet impact on a water surface

Wan Xu¹, Dekui Yuan², Hongguang Sun³, Tong Guo¹, Fengze Zhao¹, Huimin Ma¹, Changgen Liu¹

1. Department of Mechanics, Tianjin University, Tianjin 300350, China;
2. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China;
3. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China

Received:2022-12-13 Revised:2023-04-03 Online:2023-12-23 Published:2023-10-28
Contact: Dekui Yuan,E-mail:dkyuan@tju.edu.cn
Supported by:
This study has been supported by the National Natural Science Foundation of China (11872271) and the Major Scientific and Technological Projects of Tianjin (18ZXRHSF00270).

Evolution of cavity size and energy conversion due to droplet impact on a water surface

Wan Xu¹, Dekui Yuan², Hongguang Sun³, Tong Guo¹, Fengze Zhao¹, Huimin Ma¹, Changgen Liu¹

1. Department of Mechanics, Tianjin University, Tianjin 300350, China;
2. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China;
3. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China

通讯作者: Dekui Yuan,E-mail:dkyuan@tju.edu.cn
基金资助:
This study has been supported by the National Natural Science Foundation of China (11872271) and the Major Scientific and Technological Projects of Tianjin (18ZXRHSF00270).

Abstract

Abstract: The deformation characteristics of the cavity due to droplet impact on a water surface are experimentally investigated. Dimensional analysis shows that the characteristic values of time, depth, and horizontal diameter can be taken as 10^-3 times the ratio of surface tension to the product of viscosity coefficient and gravitational acceleration, the maximum depth, and the maximum horizontal diameter, respectively. The evolutions of the dimensionless cavity sizes for different values of Weber number (We) coincide for 220 < We < 686. A partial-sphere model of cavity is established based on experimental observations. Energy models are then derived, and the energy conversions are calculated to identify the relationship between these conversions and cavity deformation. It is found that the kinetic energy model established under the hypothesis proposed by Leng is no longer applicable when the dimensionless time t^* < 3.5, owing to deviations from the geometric model.

Key words: Droplet impact, Cavity size, Energy conversion

摘要： The deformation characteristics of the cavity due to droplet impact on a water surface are experimentally investigated. Dimensional analysis shows that the characteristic values of time, depth, and horizontal diameter can be taken as 10^-3 times the ratio of surface tension to the product of viscosity coefficient and gravitational acceleration, the maximum depth, and the maximum horizontal diameter, respectively. The evolutions of the dimensionless cavity sizes for different values of Weber number (We) coincide for 220 < We < 686. A partial-sphere model of cavity is established based on experimental observations. Energy models are then derived, and the energy conversions are calculated to identify the relationship between these conversions and cavity deformation. It is found that the kinetic energy model established under the hypothesis proposed by Leng is no longer applicable when the dimensionless time t^* < 3.5, owing to deviations from the geometric model.

关键词: Droplet impact, Cavity size, Energy conversion

Wan Xu, Dekui Yuan, Hongguang Sun, Tong Guo, Fengze Zhao, Huimin Ma, Changgen Liu. Evolution of cavity size and energy conversion due to droplet impact on a water surface[J]. Chinese Journal of Chemical Engineering, 2023, 62(10): 261-269.

Wan Xu, Dekui Yuan, Hongguang Sun, Tong Guo, Fengze Zhao, Huimin Ma, Changgen Liu. Evolution of cavity size and energy conversion due to droplet impact on a water surface[J]. 中国化学工程学报, 2023, 62(10): 261-269.

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Evolution of cavity size and energy conversion due to droplet impact on a water surface

Evolution of cavity size and energy conversion due to droplet impact on a water surface

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