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Diffraction of Kelvin waves at a sharp bend

Published online by Cambridge University Press:  28 March 2006

B. A. Packham  and
W. E. Williams
B. A. Packham
Affiliation:
Department of Mathematics, University of Surrey
W. E. Williams
Affiliation:
Department of Mathematics, University of Surrey
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Abstract

A closed form solution is obtained for the linearized problem of the diffraction of Kelvin waves by a sharp bend on a rotating earth. It is shown that for the frequency ω of the incoming wave less than f, where ½f is the angular velocity of rotation, the wave is transmitted around the bend without change of amplitude. For ω > f the amplitude is in general reduced but is unaltered for the special angles π/(2n + 1). For these special angles the solution is obtained in elementary terms.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 34 , Issue 3 , 2 December 1968 , pp. 517 - 529
Copyright
© 1968 Cambridge University Press

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References

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