Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran.
Chemical Engineering Department, Laval University, Quebec, G1V 0A6, Canada.
Sci Rep. 2023 Jul 7;13(1):11041. doi: 10.1038/s41598-023-38235-1.
This study investigates the effect of fluid elasticity on axisymmetric droplets colliding with pre-existing liquid films, using both numerical and experimental approaches. The numerical simulations involve solving the incompressible flow momentum equations with viscoelastic constitutive laws using the finite volume method and the volume of fluid (VOF) technique to track the liquid's free surface. Here, the Oldroyd-B model is used as the constitutive equation for the viscoelastic phase. Experiments are also performed for dilute viscoelastic solutions with 0.005% and 0.01% (w/w) polyacrylamide in 80:20 glycerin/water solutions, in order to ensure the validity of the numerical solution and to investigate the elasticity effect. The formation and temporal evolution of the crown parameters are quantified by considering the flow parameters, including the fluid's elasticity. The results indicate that the axisymmetric numerical solutions reasonably agree with the experimental observations. Generally, the fluid's elasticity can enlarge the crown dimension at different thicknesses of the fluid film. Moreover, at intermediate values of the Weissenberg number, the extensional force in the crown wall can control the crown propagation. Furthermore, the results reveal that the effects of the Weber number and the viscosity ratio on this problem are more significant at higher values of the Weissenberg number.
本研究采用数值模拟和实验两种方法,研究了在预存在的液体薄膜中轴对称液滴碰撞时流体弹性对液滴的影响。数值模拟采用有限体积法和体积分数(VOF)技术求解不可压缩流的动量方程,并用粘弹性本构方程来追踪液体的自由表面。这里,Oldroyd-B 模型被用作粘弹性相的本构方程。实验也针对在 80:20 甘油/水的溶液中含有 0.005%和 0.01%(w/w)聚丙烯酰胺的稀溶液进行,以确保数值解的有效性并研究弹性效应。通过考虑包括流体弹性在内的流动参数来量化冠层参数的形成和时间演化。结果表明,轴对称数值解与实验观察结果相当吻合。通常,流体的弹性可以在不同厚度的流体膜中增大冠层尺寸。此外,在 Weissenberg 数的中间值时,冠层壁中的拉伸力可以控制冠层的传播。此外,结果表明,在较高的 Weissenberg 数下,韦伯数和粘度比对这个问题的影响更为显著。