The Recoil of A Broken Liquid Bridge

  • S. P. Decent
  • A. C. King
Conference paper
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 62)


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.


liquid bridge surface tension asymptotics slender cone 


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  1. Decent, S.P. & King, A.C. 2001 Surface tension driven flow in a slender cone. In preparation.Google Scholar
  2. Eggers, J. 1993 Universal pinching of 3D axisymmetric free-surface flow. Phys. Rev. Lett.71, 3458–3460.ADSCrossRefGoogle Scholar
  3. Eggers, J. & Dupont, T.F. 1994 Drop formation in a one-imensional approximation of the Navier-Stokes equation. J. Fluid Meeh.262, 205–221.MathSciNetADSMATHCrossRefGoogle Scholar
  4. Keller, J.B., King, A.C. & Ting, L. 1995 Blob formation. Phys. Fluids7, 226–228.MathSciNetADSMATHCrossRefGoogle Scholar
  5. Keller, J.B. & Miksis, M.J. 1983 Surface tension driven flows. SIAM J. Appl. Math.43, 268–277.MathSciNetMATHCrossRefGoogle Scholar
  6. Peregrine, D.H., Shoker, G. & Symon, A. 1990 The bifurcation of liquid bridges. J. Fluid Meeh.212, 25–39.MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • S. P. Decent
    • 1
  • A. C. King
    • 1
  1. 1.School of Mathematics and StatisticsThe University of BirminghamBirminghamUK

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