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The Quarterly Journal of Mechanics and Applied Mathematics 1954 7(4):438-445; doi:10.1093/qjmam/7.4.438
© 1954 by Oxford University Press
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A VORTICAL SINGULARITY IN CONICAL FLOW

M. HOLT

( Armament Research Establishment Fort Halstead, Kent )

The singular line introduced by Ferri in the supersonic flow past a yawed cone is analysed. It is shown that such a singularity can arise only at points where the velocity is directed along the radial line, that at the singularity the velocity is many-valued, the vorticity is infinite but the pressure is single-valued. The singularity can be fitted to a general field of conical flow behind a shock. Flow in its neighbourhood can be regarded physically as that due to a pencil of vortex sheets of varying strength.


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