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Contributions to theory of vortex breakdown

Beitrag zur Theorie des Wirbelzusammenbruchs

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Summary

A study is made of vortex breakdown in stratified flow. It is found that a positive stratification in the cortex, i.e., the density increasing away from the axis, has the effect of postponing the vortex breakdown and vice versa. Next, further considerations are made of Benjamin's theory of vortex breakdown.

Zusammenfassung

Es wurde der Wirbelzusammenbruch in stratifizierten Strömungen untersucht. Es zeigt sich, daß eine positive Stratifikation im Wirbel, das heißt zunehmende Dichte von der Achse weg, den Effekt des Hinausschiebens des Wirbelzusammenbruchs hat und umgekehrt. Anschließend werden weitere Betrachtungen zur Benjamins Theorie des Wirbelzusammenbruchs angestellt.

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References

  1. Batchelor, G. K.: Introduction to fluid dynamics. Cambridge University Press 1967.

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  3. Benjamin, T. B.: Theory of vortex breakdown phenomenon. J. Fluid. Mech.14, 593 (1962).

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  4. Harvey, J. K.: Some observations of the vortex breakdown phenomenon. J. Fluid Mech.14, 585 (1962).

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Shivamoggi, B.K., Uberoi, M.S. Contributions to theory of vortex breakdown. Acta Mechanica 41, 211–215 (1981). https://doi.org/10.1007/BF01177348

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  • DOI: https://doi.org/10.1007/BF01177348

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