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Nonlinear theory of open-channel steady flow past a solid surface of finite-wave-group shape

Published online by Cambridge University Press:  28 March 2006

M. S. Howe
M. S. Howe
Affiliation:
Imperial College, London
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Abstract

This paper deals with a detailed application of the Whitham theory of finite amplitude wave propagation to open-channel steady flow of water of infinite depth past a slowly modulated wavy wall. A numerical procedure first used by Garabedian & Lieberstein (1958) for the solution of ‘stably-posed’ elliptic Cauchy problems is employed to obtain a map of the wave pattern on the free surface of the water. The appearance of a ‘shock’ in this solution is discussed in terms of previous analytical and experimental results.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 30 , Issue 3 , 29 November 1967 , pp. 497 - 512
Copyright
© 1967 Cambridge University Press

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References

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