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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 6, Pages 25–34 (Mi pmtf1417)  
Effect of boundaries of various shapes on vortex dynamics

A. A. Zaitseva, A. I. Rudenkob

a Kant Baltiisk Federal University, Kaliningrad, 236041, Russia
b Baltiisk State Academy of Fishing Navy, Kaliningrad, 236029, Russia
Full-text PDF (225 kB)
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.
Keywords: flow velocity field, equations of vortex motion, conformal mapping, algebraic equations of vortex trajectories.
Received: 03.06.2011
Revised: 05.04.2012
English version:
Journal of Applied Mechanics and Technical Physics, 2012, Volume 53, Issue 6, Pages 825–833
DOI: https://doi.org/10.1134/S002189441206003X
Bibliographic databases:
Document Type: Article
UDC: 551.466.3
Language: Russian
Citation: A. A. Zaitsev, A. I. Rudenko, “Effect of boundaries of various shapes on vortex dynamics”, Prikl. Mekh. Tekh. Fiz., 53:6 (2012), 25–34; J. Appl. Mech. Tech. Phys., 53:6 (2012), 825–833
Citation in format AMSBIB
\Bibitem{ZaiRud12}
\by A.~A.~Zaitsev, A.~I.~Rudenko
\paper Effect of boundaries of various shapes on vortex dynamics
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2012
\vol 53
\issue 6
\pages 25--34
\mathnet{http://mi.mathnet.ru/pmtf1417}
\elib{https://elibrary.ru/item.asp?id=18194285}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2012
\vol 53
\issue 6
\pages 825--833
\crossref{https://doi.org/10.1134/S002189441206003X}
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