Fracture of a viscous liquid

Details Fracture of a viscous liquid Fracture of a viscous liquid

2003-04-02

arxiv.org/abs/cond-mat/0304044v1

Phys. Rev. Lett. 90 (05/2003) 184501

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevLett.90.184501

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.

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