Abstract

Evolution of a spiral vortex-sheet in an unbounded inviscid fluid is considered and a similarity solution to the Birkhoff-Rott equation (an integro-differential equation governing vortex-sheet dynamics) is presented. This solution exhibits evolution of a double-branched vortex-sheet of an exponential spiral. It is shown that this is equivalent to the previously known solution obtained by the other method. However the present analysis discloses an anomaly of this similarity solution, which is associated with the behavior at infinity.

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