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On the series that represent tides and surges in an estuary

Published online by Cambridge University Press:  28 March 2006

J. Proudman
J. Proudman
Affiliation:
Edgemoor, Verwood, Dorset
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Abstract

This paper is concerned with a progressive wave of general form in an infinitely long estuary of uniform cross-section when there is a permanent current independent of the wave. The only approximation is the neglect of friction. Explicit formulae in the form of infinite series are found for the surface-elevation and for the current.

In the special case in which there is no permanent current and when the oscillation at the mouth of the estuary reduces to a single harmonic constituent, the first five harmonic shallow water constituents at any place up the estuary are evaluated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 3 , Issue 4 , January 1958 , pp. 411 - 417
Copyright
© 1958 Cambridge University Press

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References

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