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The inviscid stability of a trailing line vortex

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Summary

A finite difference method has been developed to study the inviscid stability of swirling flows to small non-axisymmetric disturbances. We apply the method to Batchelor's trailing line vortex solution [3]. The method appears to be more efficient, and simpler to implement for this class of problem, than previously reported methods.

Zusammenfassung

Zur Untersuchung der Stabilität von Wirbelströmungen bei nichtaxisymmetrischen kleinen Störungen ist eine Differenzemethode entwickelt worden. Sie wird auf Batchelor's Lösung für die abgehende Wirbellinie angewendet. Die Methode erscheint für diese Art von Problemen gut geeignet und einfach in der Anwendung.

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References

  1. M. Lessen, P. J. Singh, andF. Paillet, J. Fluid Mech.63, 753 (1974).

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  2. O. R. Burggraf andR. Foster, The Stability of Tornado-like Vortices, Final Report, U.S. Dept of Commerce, Grant 04-6-022-44004 (1975).

  3. G. K. Batchelor, J. Fluid Mech.20, 645 (1964).

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  4. T. J. Pedley, J. Fluid Mech.31, 603 (1968).

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Author notes

  1. P. W. Duck

    Present address: Department of Mathematics, University of Manchester, England

Authors and Affiliations

  1. Dept of Aeronautical and Astronautical Engineering, The Ohio State University, Columbus, Ohio, USA

    P. W. Duck & M. R. Foster

Authors
  1. P. W. Duck
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  2. M. R. Foster
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Duck, P.W., Foster, M.R. The inviscid stability of a trailing line vortex. Journal of Applied Mathematics and Physics (ZAMP) 31, 524–532 (1980). https://doi.org/10.1007/BF01590863

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  • DOI: https://doi.org/10.1007/BF01590863

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