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Steady flows near the critical speed

Published online by Cambridge University Press:  28 March 2006

W. T. Kyner
W. T. Kyner
Affiliation:
University of Southern California, Los Angeles 7
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Abstract

The solitary wave is a well-known example of a flow of permanent type which can be studied by shallow-water theory. A scheme due to K. O. Friedrichs (see Friedrichs & Hyers 1954) can give both an approximation to the exact wave form and a framework for a proof of its existence. It is used here to approximate the solution of a related problem, that of a steady flow near the critical speed over a small obstacle in the bed of a stream. The flow can be considered as a perturbation of a solitary wave since it will approach a solitary wave as the obstacle shrinks in height.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 14 , Issue 4 , December 1962 , pp. 517 - 528
Copyright
© 1962 Cambridge University Press

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References

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