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Reflexion of Kelvin waves at the open end of a rotating semi-infinite channel

Published online by Cambridge University Press:  29 March 2006

B. A. Packham
B. A. Packham
Affiliation:
Department of Mathematics, University of Surrey
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Abstract

The problem of the reflexion of tides in an enclosed sea such as the North Sea at a point at which it either enters the ocean or its width suddenly increases is considered by investigating the reflexion of a Kelvin wave at the open end of a rotating uniform semi-infinite channel.

It is shown that for a given channel, if the wave period is less than a pendulum day, then, according to the linearized theory of long waves in a rotating system, the reflexion coefficient increases with the angular velocity of rotation. It is also shown that there is a resonance effect for certain critical channel widths, namely, those at which extra modes within the channel become possible.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 39 , Issue 2 , 10 November 1969 , pp. 321 - 328
Copyright
© 1969 Cambridge University Press

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References

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