The Trajectory and Stability of a Spiralling Liquid Jet

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


We examine a spiralling slender inviscid liquid jet with a curved centre line which emerges from a rotating orifice. The trajectory of this jet is determined using asymptotic methods, and the stability using a multiple scales approach. Some novel results will be presented and discussed.


liquid jets 


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  1. Anno, J.N. 1977 The Mechanics of Liquid Jets. Lexington Books.Google Scholar
  2. Bogy, D.B. 1979 Drop Formation in a Circular Liquid Jet. Annu. Rev. Fluid. Mech.11, 207–228.ADSCrossRefGoogle Scholar
  3. Dias, F. & Vanden-Broeck, J.-M. 1990 Flows emerging from a nozzle and falling under gravity. J. Fluid Mech.213, 465–477.ADSMATHCrossRefGoogle Scholar
  4. Eggers, J. 1993 Universal pinching of 3D axisymmetric free-surface flow. Phys. Rev. Letters71, 3458–60.ADSCrossRefGoogle Scholar
  5. Eggers, J. 1997 Nonlinear dynamics and breakup of free-surface flows. Rev. Mod. Phy.Vol 69, No. 3. 865–929.ADSMATHCrossRefGoogle Scholar
  6. Hilbing, J.H. & Heister, S.D. 1996 Droplet size control in liquid jet breakup. Phys. FluidsVol 8, No. 6. 1574–81.ADSMATHCrossRefGoogle Scholar
  7. Keller, J.B., Rubinow, S.I. & Tu, Y.O. 1973 Spatial instability of a jet. Phys. Fluids16, 2052–55.ADSCrossRefGoogle Scholar
  8. Kowaleswski, T.A. 1996 On the separation of droplets from a liquid jet. Fluid Dynamics Research17, 121–145.CrossRefGoogle Scholar
  9. Middleman, S. 1995 Modeling Axisymmetric flows: Dynamics of Films, Jets, and Drops. Academic Press.Google Scholar
  10. Rayleigh, J.W.S. 1878 On the instability of jets. Proc. Lond. Math. Soc.10, 4–13.CrossRefGoogle Scholar
  11. Wallwork, I.M. 2000 MPhil Thesis: The trajectory and stability of a spiralling liquid jet. The University of Birmingham.Google Scholar
  12. Wallwork, I.M., Decent, S.P. & King, A.C. 2000 Trajectory and stability of a spiralling liquid jet. In preparation.Google Scholar
  13. Weber, C. 1931 Zum Zerfall eines Flussigkeitsstrahles. Z. Angew. Math. Mech.11, 136–41.MATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

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

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