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Climb of a bore on a beach Part 2. Non-uniform beach slope

Published online by Cambridge University Press:  28 March 2006

M. C. Shen
Affiliation:
Brown University, Providence, Rhode Island
R. E. Meyer
Affiliation:
Brown University, Providence, Rhode Island

Abstract

The investigations to the shoreward travel of a bore into water at rest is extended to beaches of non-uniform slope. It is shown that the shore singularity established in Part 1 (Ho & Meyer 1962) still furnishes an approximate solution. The shape of the beach, like the shape of the wave forming the bore, is found to influence the bore development close to shore almost only in so far as it determines the basic velocity scale of the bore.

Type
Research Article
Copyright
© 1963 Cambridge University Press

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References

Ho, D. V. & Meyer, R. E. 1962 J. Fluid Mech. 14, 305.
Mahony, J. J. 1956 Phil. Trans. A, 248, 499.
Stoker, J. J. 1957 Water Waves. New York: Interscience.