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Diffraction of a weak shock with vortex generation

Published online by Cambridge University Press:  28 March 2006

Nicholas Rott
Affiliation:
Cornell University, Ithaca, New York

Abstract

The region of finite vorticity near the edge of a diffracting wedge is investigated. Dimensional analysis gives the dependence of the circulation and the velocity of the vortex region on the pulse strength. A close estimate of the magnitude of the magnitude of these quantities is obtained by replacing the vortex region by a single concentrated vortex. The theoretical conditions at the sharp edge are discussed and compared with observations of real fluid behaviour. A short account of the theory of the core of the spiral vortex sheet in a perfect fluid is appended.

The research reported herein was supported by the United States Air Force, through the Office of Scientific Research of the Air Research and Development Command.

Type
Research Article
Copyright
© 1956 Cambridge University Press

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