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Diffraction of a weak shock with vortex generation

Published online by Cambridge University Press:  28 March 2006

Nicholas Rott
Nicholas Rott
Affiliation:
Cornell University, Ithaca, New York
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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
Information
Journal of Fluid Mechanics , Volume 1 , Issue 1 , May 1956 , pp. 111 - 128
Copyright
© 1956 Cambridge University Press

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References

Brown, C. E. & Michael, W. H. 1954 Effect of leading edge separation on the lift of a delta wing, J. Aero. Sci., 21, 690.
Cheng, H. K. 1955 Aerodynamics of a rectangular plate with vortex separation in supersonic flow, J. Aero. Sci., 22, 217.
Edwards, R. H. 1954 Leading edge separation from delta wings, J. Aero. Sci., 21, 134.
Friedlander, F. G. 1946 The diffraction of sound pulses, Proc. Roy. Soc. A, 186, 322.
Howard, L. N. & Matthews, D. L. 1955 On the vortices produced in shock diffraction, Technical Report 11-21, Princeton University.
Kaden, H. 1931 Aufwickling einer unstabilen Unstetigkeitsfläche, Ing. Arch., 2, 140.
Keller, J. B. & Blenk, A. 1951 Diffraction and reflection of pulses by wedges and corners, Comm. Pure Appl. Math., 4, 75.
Michael, W. H. 1955 Flow studies on flat-plate delta wings at supersonic speed, Nat. Adv. Comm. Aero., Wash., Tech. Note no. 3472.
Miles, J. W. 1952 On the diffraction of an acoustic pulse by a wedge, Proc. Roy. Soc. A, 212, 543.
Prandtl, L. 1922 Über die Entstehung von Wirbeln in der idealen Flüssigkeit, Vortrúge aus dem Gebiete der Hydro-und Aerodynamik (Editors, Th. v. Karman and T. Levi-Civita), Innsbruck.
Uhlenbeck, G. 1950 Diffraction of shock waves around various obstacles, Report on Project M720-4, Engineering Research Institute, University of Michigan.
Waldron, H. F. 1954 An experimental study of a spiral vortex formed by shock-wave diffraction, Technical Note no. 2, Institute of Aerophysics, University of Toronto.