Periodic Motion of a Point Vortex in a Corner Subject to a Potential Flow

概要

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Motion of a point vortex in a 90°-corner which is subject to a potential flow is studied. There exists a fixed point at which the vortex is stationary. It turns out that the vortex motion is periodic regardless of the initial position except the fixed point. The fixed point is apart from the corner in a distance proportional to the square root of the ratio of the vortex strength (circulation) and the strength of the potential flow. The period of the circulatory motion of the vortex in a small vicinity of the fixed point is in inverse proportion to the potential-flow strength and is independent of the vortex strength. The motion of the fluid driven by both the potential flow and the vortex is also studied ; depending on the location of the stagnation points, generally four kinds of flow patterns are classified.
社団法人日本物理学会の論文
1993-10-15