Numerical and theoretical modeling of droplet impact on spherical surfaces

被引:49
作者
Dalgamoni, Hussein N. [1 ]
Yong, Xin [2 ]
机构
[1] Hashemite Univ, Dept Mech Engn, Zarqa 13133, Jordan
[2] SUNY Binghamton, Dept Mech Engn, Binghamton, NY 13902 USA
基金
美国国家科学基金会;
关键词
LATTICE BOLTZMANN SIMULATIONS; CONTACT TIME; LOW WEBER; LIQUID DROPLETS; DYNAMICS; COLLISION; FLAT; IMPINGEMENT; DEPOSITION; MOTION;
D O I
10.1063/5.0047024
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Droplet impact on solid surfaces is a fluid phenomenon widely involved in additive manufacturing, heat management, and coating, in which the ability to exert control over the impact dynamics and duration is critical. While past studies have established a comprehensive understanding of the impact on flat substrates, what we know about the impact dynamics on curved solid surfaces is still limited. This work aims to elucidate the physics of droplet impact on spherical surfaces with different Weber numbers (We), radii ( R s), and surface wettability ( theta eq) using a combination of axisymmetric lattice Boltzmann method (LBM) and theoretical analysis. The model developed in our previous work [H. N. Dalgamoni and X. Yong, Phys. Rev. E 98, 13102 (2018)] was extended and modified for simulating the normal impact of droplet on curved substrates in the low Weber number regime (i.e., We <= 15), in which axisymmetric assumption of droplet deformation holds. The LBM simulations show that We, R s, and theta eq significantly affect the spreading and recoiling of droplet during impact. The parametric studies uncover five outcomes of impact, which range from complete deposition to total rebound. A simulation-predicted phase diagram was constructed and correlated with the total time that the droplet was in contact with the solid. In addition, a theoretical model based on energy budget during impact was developed to predict the rebound threshold for impact on spherical targets when varying We, R s, and theta eq independently, which agrees well with simulation observations. These findings provide fundamental insight into surface structure design for controlling droplet hydrodynamics and the contact time during impact.
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页数:14
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