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Simple waves on shear flows: similarity solutions

Published online by Cambridge University Press:  29 March 2006

N. C. Freeman
N. C. Freeman
Affiliation:
School of Mathematics, University of Newcastle-upon-Tyne
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Abstract

A class of similarity solutions is derived for the equations of simple waves on inviscid shear flows discovered by Blythe, Kazakia & Varley (1972). Such solutions all have propagation speeds proportional to the square root of the depth and contain the uniform flow solution as a special case.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 56 , Issue 2 , 28 November 1972 , pp. 257 - 263
Copyright
© 1972 Cambridge University Press

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References

Blythe, P. A., Kazakia, Y. & Varley, E. 1972 J. Fluid Mech. 56, 241.
Burns, J. C. 1953 Proc. Camb. Phil. Soc. 49, 695–706.