Fracture of a viscous liquid

Abstract

When a viscous liquid hits a pool of liquid of same nature, the impact region is hollowed by the shock. Its bottom becomes extremely sharp if increasing the impact velocity, and we report that the curvature at that place increases exponentially with the flow velocity, in agreement with a theory by Jeong and Moffatt. Such a law defines a characteristic velocity for the collapse of the tip, which explains both the cusp-like shape of this region, and the instability of the cusp if increasing (slightly) the impact velocity. Then, a film of the upper phase is entrained inside the pool. We characterize the critical velocity of entrainment of this phase and compare our results with recent predictions by Eggers.

References in corpus (3)

• The Two Fluid Drop Snap-off Problem: Experiments and Theory
• Air entrainment through free-surface cusps
• Scaling at the selective withdrawal transition

Cited by in corpus (8)

• Sink flow deforms the interface between a viscous liquid and air into a tip singularity
• Hydrodynamics of air entrainment by moving contact lines
• Scaling dependence on the fluid viscosity ratio in the selective withdrawal transition
• The Bouncing Jet: A Newtonian Liquid Rebounding off a Free Surface
• Viscous Withdrawal of Miscible Liquid Layers
• Surface Tension regularizes the Crack Singularity of Adhesive Contacts
• Self-similar dynamics of air film entrained by a solid disk in confined space: a simple prototype of topological transitions
• Liquid interfaces in viscous straining flows: Numerical studies of the selective withdrawal transition