Nonlinear Instability Waves in Channels and Jets

  • G. Grabitz
  • G. E. A. Meier
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Summary

A theoretical and experimental investigation of the influence of travelling time effects on the stability of jets and channel flows is presented. Both the theoretical solution and experimental results show the development of an originally small velocity distortion in a water jet and an open channel flow. The growth of the waves is essentially determined by the velocity modulation at the origin of the jet. The two main differences of our nonlinear theory compared to the classical linear stability theory are the peaky form of the wave ridges and the infinite amplitude (catastrophic amplification) for finite time and distance.

Keywords

Settling 

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References

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    Pimbley, W.T.; Drop formation from a liquid jet. IBM. J. Res. Develop. (1976) 148–156.Google Scholar
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    Grabitz, G; Meier, G.E.A.; Über Laufzeitinstabilitäten in Flüssigkeitsstrahlen. ZAMM Vol. 63, (1983) T255-T257Google Scholar
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    Klöpper, A.; Der Einfluß von Laufzeit-Effekten auf den Zerfall von Flüssigkeitsstrahlen. Diplom-Arbeit, Universität Göttingen (1987).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • G. Grabitz
    • 1
  • G. E. A. Meier
    • 1
  1. 1.Max-Planck-Institut für StrömungsforschungGöttingenF.R. Germany

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