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On corner eddies in plane inviscid shear flow

Published online by Cambridge University Press:  28 March 2006

L. E. Fraenkel
Affiliation:
Aeronautics Department, Imperial College, London

Abstract

Local solutions are found for the inviscid shear flow past an acute corner (of included angle [les ] ½π on the side of the fluid) on an otherwise arbitrary boundary. Unlike irrotational ‘corner flows’, these solutions are determinate locally, provided that the vorticity is known. Under certain circumstances the existence of a corner eddy may be inferred.

Type
Research Article
Copyright
© 1961 Cambridge University Press

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References

Batchelor, G. K. 1956 J. Fluid Mech. 1, 117.
Carathéodory, C. 1932 Conformal Representation. Cambridge University Press.
Courant, R. 1950 Dirichlet's Principle. New York: Interscience.
Dean, W. R. 1944 Proc. Camb. Phil. Soc. 40, 214.
Yih, C. -S. 1959 J. Fluid Mech. 5, 36.
Yih, C. -S. 1960 J. Fluid Mech. 9, 161.