Effect of boundaries of various shapes on vortex dynamics
Journal of Applied Mechanics and Technical Physics(2012)
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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Key words
flow velocity field,equations of vortex motion,conformal mapping,algebraic equations of vortex trajectories
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