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On a pulsating cylindrical vortex

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Abstract

This text presents an English translation of the significant paper [5] on vortex dynamics published by outstanding Russian scientist S. A. Chaplygin, which seem to have escaped the attention of later investigators in this field. Chaplygin’s solution includes that of an elliptical patch of uniform vorticity in an exterior field of pure shear. Although it was published more than a century ago, in our opinion it is still interesting and valuable.

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  1. S. A. Chaplygin
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Originally published in: Trudy otdeleniya fizicheskikh nauk Moskovskogo obshchestva lyubitelei estestvoznaniya (Transactions of the Physical Section of Moscow Society of Friends of Natural Sciences), 1899, vol. 10, no. 1, pp. 13–22.

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Translated from Russian by G. Krichevets; edited by D. Blackmore; commented by V.V.Meleshko (Department of Theoretical and Applied Mechanics, Kiev National Taras Shevchenko University, 01030 Kiev, Ukraine. E-mail: meleshko@univ.kiev.ua).

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Chaplygin, S.A. On a pulsating cylindrical vortex. Regul. Chaot. Dyn. 12, 101–116 (2007). https://doi.org/10.1134/S1560354707010091

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