Abstract
We consider the well-known problem of the interaction of a vortex filament with a perpendicular plane in a viscous incompressible fluid. In this study, the vortex filament is represented by a semi-infinite rotating needle. Different models are considered: a zero-radius needle and fixed and movable in the axial direction needles of a finite radius. The ranges of the existence of the solution are found, and the correspondence of the flow around a finite-radius needle to that around a zero-radius needle, as the needle radius decreases, is studied.
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Original Russian Text © A.M. Gaifullin, 2013, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2013, Vol. 48, No. 6, pp. 72–80.
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Gaifullin, A.M. On the problem of vortex interaction with a plane. Fluid Dyn 48, 773–780 (2013). https://doi.org/10.1134/S0015462813060082
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DOI: https://doi.org/10.1134/S0015462813060082