Numerical Investigation on the Fluid Elasticity Effect in the Impact of Oblique Drop onto Liquid Film

Document Type : Research Article

Authors

1 Mechanical Engineering Department, Shahrood university of Technology, Shahrood, Iran

2 Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran

3 Mechanical Engineering Department, Shahrood University of Technology, Shahrood, Iran

4 Chemical Engineering Department, Laval University, Quebec, Canada

Abstract

In this paper, the crown formation and temporal propagation due to the oblique impact of a plane two-dimensional drop onto preexisting film in the non-Newtonian viscoelastic fluid are analyzed numerically. The finite volume method is applied to solve the governing equations and the volume of fluid technique is used to track the free surface of liquid phases. Here, the well-known Oldroyd-B model is used as the constitutive equation for the viscoelastic phase. However, the formation and temporal evolution of the crown’s shape is emphasized and the effects of elastic and surface tension forces on the crown’s dynamic are considered in detail. The results show that the increase in Weissenberg number, viscosity ratio, and Weber number leads to an increase in both the dimensionless crown height (Z*) and spread factor (S*), while impact angle has a major effect on the control of the crown’s height, on the other hand, this parameter has a negligible effect on spread factor in viscoelastic fluid. Moreover, by thickening of fluid film, the crown’s height increase, and the crown’s radius decrease. As the main finding of the present study, the fluid’s elasticity in the presence of surface tension force can enhance the rate of the crown propagation in the impact of an oblique drop onto liquid film.

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