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The Rolling up of a Semi-Infinite Vortex Sheet

1975
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Proceedings of the Royal Society A
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The rolling up of a semi-infinite initially straight vortex sheet is studied analytically. In its initial state the circulation in the sheet increases as the square root of the distance from its edge. Previous investigations have asserted th a t the asymptotic form for the equation of the rolled up portion given by Kaden could be improved on by finding higher terms in a locally determined asymptotic expansion. This assertion is contested and it is sug gested th a t the correction to Kaden can

doi:10.1098/rspa.1975.0147
fatcat:iyrylniaazdhvbukzg4zymlbkm