Effect of boundaries of various shapes on vortex dynamics

A. A. Zaitsev^a, A. I. Rudenko<sup>b

a</sup> Kant Baltiisk Federal University, Kaliningrad, 236041, Russia
^b Baltiisk State Academy of Fishing Navy, Kaliningrad, 236029, Russia

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.

UDC: 551.466.3

Received: 03.06.2011
Revised: 05.04.2012

 English version: Journal of Applied Mechanics and Technical Physics, 2012, 53:6, 825–833

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