论文标题
液滴对球形表面的影响的数值和理论建模
Numerical and Theoretical Modeling of Droplet Impact on Spherical Surfaces
论文作者
论文摘要
液滴对固体表面的影响是一种流体现象,广泛参与添加剂制造,热量管理和涂层,其中对影响动态和持续时间的控制能力至关重要。尽管过去的研究已经对对平坦底物的影响建立了全面的了解,但我们对弯曲固体表面的影响动态的了解仍然有限。这项工作旨在通过使用轴对称的lattice boltzmann方法(lbm)和理论分析的组合,阐明了液滴对球形表面的物理影响对球形表面的物理影响。该模型在我们以前的工作[H. Dalgamoni和X. Yong,物理。 Rev. E 98,13102(2018)]进行了扩展和修改,以模拟液滴对低韦伯数制度中弯曲底物的正常影响(即$ we \ we \ leq 15 $),其中液滴变形的轴对称假设持有。 LBM模拟表明,$ We $,$ r_s $和$θ^{eq} $显着影响撞击过程中液滴的传播和后退。参数研究发现了五个影响的结果,范围从完全沉积到总反弹。构建了模拟预测的相图,并与液滴与固体接触的总时间相关。此外,开发了基于影响期间能量预算的理论模型,以预测在变化我们和独立时对球形目标影响的反弹阈值,这与模拟观察非常吻合。这些发现为控制液滴流体动力学和撞击过程中的接触时间提供了对表面结构设计的基本见解。
Droplet impact on solid surfaces is a fluid phenomenon widely involved in additive manufacturing, heat management, and coating, in which the ability to exert control over the impact dynamics and duration is critical. While past studies have established a comprehensive understanding of the impact on flat substrates, what we know about the impact dynamics on curved solid surfaces is still limited. This work aims to elucidate the physics of droplet impact on spherical surfaces with different Weber numbers ($We$), radii ($R_s$), and surface wettability ($θ^{eq}$) using a combination of axisymmetric lattice Boltzmann method (LBM) and theoretical analysis. The model developed in our previous work [H. 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., $We \leq 15$), in which axisymmetric assumption of droplet deformation holds. The LBM simulations show that $We$, $R_s$, and $θ^{eq}$ 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, and 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.