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On circulation-preserving motions with lamellar vorticity

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Summary

It is proved that the only isochoric circulation-preserving motions whose vorticity is steady, lamellar and bears a constant magnitude on a vortex-line are (1) plane motions of constant vorticity (on which certain unsteady potential motions may be superposed), and (2) a particular circular-helical motion.

Zusammenfassung

Es wird bewiesen, daß die einzigen isochoren Bewegungen mit Erhaltung der Zirkulation, deren Rotation zeitunabhängig lamellar und konstant entlang einer Wirbellinie ist, die folgenden sind: 1. Ebene Bewegung mit konstanter Rotation, der gewisse zeitabhängige Potentialbewegungen überlagert werden können; 2. eine besondere Kreis-Schrauben-Bewegung.

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References

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Authors and Affiliations

  1. School of Engineering Science and Mechanics, Georgia Institute of Technology, Atlanta, Georgia, USA

    A. W. Marris

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  1. A. W. Marris
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Marris, A.W. On circulation-preserving motions with lamellar vorticity. Z. angew. Math. Phys. 33, 124–131 (1982). https://doi.org/10.1007/BF00948316

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  • DOI: https://doi.org/10.1007/BF00948316

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