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Long standing waves in a curved canal

Published online by Cambridge University Press:  28 March 2006

B. Johns
Affiliation:
Department of Geophysics, University of Reading
A. M. O. Hamzah
Affiliation:
Department of Mathematics, University of Reading
Present address: University of Damascus, Syria.

Abstract

The dynamics of long water waves are considered in a curved geometry representing a canal bend. The presence of the bend is found to produce a spectrum of transverse oscillations in the canal. The associated dominant amplitudes are evaluated for both tidal periods and higher frequencies representative of tsunamis. It is found that low-frequency waves do not lead to significant transverse amplitudes. For tsunamis, the presence of the bend may result in considerable changes in the local wave amplitude.

Type
Research Article
Copyright
© 1968 Cambridge University Press

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References

Abbott, M. B. 1960 La Houille Blanche, 5, 258.
Cochran, J. A. 1964 J. Soc. Indust. Appl. Math. 12, 580.
Hunt, J. N. 1964 Geophys. J. R. Astr. Soc. 8, 440.
Johns, B. 1966 Geophys. J. R. Astr. Soc. 12, 103.
Johns, B. 1967 Geophys. J. R. Astr. Soc. 13, 377.
Watson, G. N. 1958 A Treatise on the Theory of Bessel Functions, 2nd ed. Cambridge University Press.