This paper numerically analyzes the crown formation due to a plane two-dimensional drop impact onto a pre-existing film in a viscoelastic fluid. The finite volume method is applied to solve the governing equations, and the volume of fluid technique is utilized to track the liquid’s free surface. Here, the non-linear Giesekus model is used as the constitutive equation for the viscoelastic phase. The formation and temporal evolution of the crown’s parameters are evaluated using fluid elasticity and non-linear viscometric functions. The results show that a rise in the Weissenberg number, the viscosity ratio, the Weber number, and the mobility factor of the viscoelastic fluid leads to an increase in both the dimensionless height and radius of the crown, while increasing the Bond number leads to a decrease in the growth of the crown’s dimensions. Moreover, by increasing the film’s thickness, the crown’s height increases, while the crown’s radius decreases. One of the main findings of the present study is that the fluid’s elasticity and surface tension forces enhance the crown’s propagation.

本文数值分析了由于平面二维液滴撞击粘弹性流体中预先存在的薄膜而导致的冠部形成。应用有限体积法求解控制方程，利用流体体积技术跟踪液体的自由表面。这里，非线性 Giesekus 模型用作粘弹性相的本构方程。使用流体弹性和非线性粘度测量函数评估冠部参数的形成和时间演变。结果表明，Weissenberg 数、粘度比、Weber 数和粘弹性流体的流动因子的增加导致冠部的无量纲高度和半径增加，而增加 Bond 数导致粘弹性流体的无量纲高度和半径增加。减少冠部尺寸的增长。此外，通过增加薄膜的厚度，冠部的高度增加，而冠部的半径减小。本研究的主要发现之一是流体的弹性和表面张力增强了牙冠的传播。