Numerical Simulation of Dynamic Behavior of Impact Between Liquid Droplet and Semi-Infinite Solid in Air

The impact of a spherical liquid droplet in the domain of air onto a planar semi-infinite elastic solid is simulated with the Lagrangian and Eulerian coupling method,where the droplet's diameter and speed are taken as 1 mm and 150 m/s respectively.The pressure and variation with time inside the liquid droplet,the formation and shattering of the jet at the contact periphery,and the deformation and equivalent stress as well as the evolution of the solid are obtained numerically.It is shown that the compressibility of the liquid droplet and the solid plays a dominant role during the impact.At the beginning of the impact,there are water-hammer pressure in the liquid droplet and relatively large local deformation and stress in the impact area of solid.The water-hammer pressure is in good agreement with the theoretical prediction.The validity and accuracy of the numerical methods are verified.The high velocity lateral jet starts to form after shock wave departure.Heavy shearing action of the jet exerts further deformation on the solid which is no longer planar.The pressure at the contact periphery is higher than the pressure inside droplet.These results provide a reasonable explanation for the failure patterns of the solid impacted by high-speed liquid droplet.