Abstract
The motion of a vortex near a boundary of arbitrary shape is considered within the framework of a two-dimensional problem. Integrable differential equations of motion are obtained. Two forms of the algebraic equation of the vortex trajectories are derived. Examples of vortex motion near a straight-line boundary, in a channel, in an angular domain, in the neighborhood of a flat edge, in a round basin, and near a parabolic boundary.
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Original Russian Text © A.A. Zaitsev, A.I. Rudenko.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 53, No. 6, pp. 25–34, November–December, 2012.
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Zaitsev, A.A., Rudenko, A.I. Effect of boundaries of various shapes on vortex dynamics. J Appl Mech Tech Phy 53, 825–833 (2012). https://doi.org/10.1134/S002189441206003X
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DOI: https://doi.org/10.1134/S002189441206003X