Rarefied gas correction for the bubble entrapment singularity in drop impacts

Abstract

We study the non-continuous correction in the dynamics of drop impact on a solid substrate. Close to impact, a thin film of gas is formed beneath the drop so that the local Knudsen number is of order one. We consider the first correction to the dynamics which consists of allowing slip of the gas along the substrate and the interface. We focus on the singular dynamics of entrapment that can be seen when surface tension and liquid viscosity can be neglected. There we show that different dynamical regimes are present that tend to lower the singularity strength. We finally suggest how these effects might be connected to the influence of the gas pressure in the impact dynamics observed in recent experiments.

References in corpus (3)

• Drop Splashing on a Dry Smooth Surface
• Skating on a Film of Air: Drops Impacting on a Surface
• Ultrafast Interference Imaging of Air in Splashing Dynamics

Cited by in corpus (6)

• Computational Study of Bouncing and Non-bouncing Droplets Impacting on Superhydrophobic Surfaces
• Air Entrainment in Dynamic Wetting: Knudsen Effects and the Influence of Ambient Air Pressure
• Deformation and relaxation of viscous thin films under bouncing drops
• Dimple drainage before the coalescence of a droplet deposited on a smooth substrate
• Droplet settling on solids coated with a soft layer
• Birth of a bubble: Drop impact onto a thin liquid film for an immiscible three-fluid system