Abstract
In order to describe the unsteady flow of a viscous fluid induced by a toroidal vorticity distribution we use the two-scale expansion method [6], By this means we obtain a vorticity distribution in the core of the thin vortex ring that is consistent with the external potential flow. The time dependence of the flow characteristics obtained confirms the experimental results for the inertial regime. The interaction of coaxial vortex rings is investigated as an example.
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Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No.5, pp. 52–59, September–October, 1992.
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Berezovskii, A.A., Kaplanskii, F.B. Dynamics of thin vortex rings in a low-viscosity fluid. Fluid Dyn 27, 643–649 (1992). https://doi.org/10.1007/BF01051604
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DOI: https://doi.org/10.1007/BF01051604