The Recoil of A Broken Liquid Bridge

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Abstract

After a water droplet has broken away from a slender thread of water, a rapid recoil of the slender thread occurs. At the moment of break off, this thread is observed to have the shape of a slender cone close to the bifurcation point. In this paper, we study the evolution of an ideal fluid which is initially conical. The only force acting on the fluid is due to surface tension. We derive a simplified one-dimensional model and find an asymptotic solution to these model equations in terms of the aspect ratio of the cone which is assumed to be small.