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On the formation of vortex rings: Rolling-up and production of circulation

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Abstract

The temporal development of the rolling-up process of vortex rings produced in water at a circular nozzle is investigated by flow visualization. The results are compared with similarity laws for the rolling-up of vortex sheets in plane flow. The unsteady flow field in the nozzle-exit plane is measured by laser anemometry. The vorticity distribution in the boundary layers at the inner and outer nozzle wall and the vorticity flux through the exit plane are derived from the measurements. The flow conditions measured at the nozzle are used to explain the production of the ring-vortex circulation (measured three nozzle-diameters downstream) in relation to the generation conditions.

Zusammenfassung

Durch Strömungs-Sichtbarmachung wird für Ringwirbel, die an einer kreisförmigen Rohrmündung in Wasser erzeugt werden, der zeitliche Verlauf des Aufrollvorgangs untersucht und mit Ähnlichkeitsgesetzen für die Aufrollung von ebenen Wirbelschichten verglichen. Aus Messungen des instationären Strömungsfeldes im Mündungsquerschnitt mit einem Laser-Anemometer wird die Wirbelstärke-Verteilung in den Grenzschichten an der inneren und äußeren Rohrwand sowie der Wirbelfluß durch den Mündungsquerschnitt bestimmt. Dadurch wird die Entstehung der Zirkulation, die im fertig ausgebildeten Ringwirbel drei Rohrdurchmesser stromabwärts gemessen wird, in Abhängigkeit von den Erzeugungsbedingungen verständlich.

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Author notes

  1. Norbert Didden

    Present address: Dept. of Aerospace Engineering, University of Southern California, Los Angeles, California, USA

Authors and Affiliations

  1. Max-Planck-Institut für Strömungsforschung, Göttingen, West-Germany

    Norbert Didden

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  1. Norbert Didden
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Didden, N. On the formation of vortex rings: Rolling-up and production of circulation. Journal of Applied Mathematics and Physics (ZAMP) 30, 101–116 (1979). https://doi.org/10.1007/BF01597484

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  • DOI: https://doi.org/10.1007/BF01597484

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