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An analytic solution describing the motion of a bore over a sloping beach

Published online by Cambridge University Press:  26 April 2006

Neelam Gupta
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Abstract

An exact analytic solution of the shallow water equations for the motion of a bore over a uniformly sloping beach is derived. This solution is valid only when the initial bore is supercritical. The results agree very well with those of Keller, Levine & Whitham (1960).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 253 , August 1993 , pp. 167 - 172
Copyright
© 1993 Cambridge University Press

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References

Chong, T. H. & Sirovich, L. 1980 Phys. Fluids 23, 1296.
Friedman, M. P. 1960 J. Fluid Mech. 8, 193.
Keller, H. B., Levine, D. A. & Whitham, G. B. 1960 J. Fluid Mech. 7, 302.
Sachdev, P. L. & Seshadri, V. S. 1976 J. Fluid Mech. 78, 481.
Sirovich, L. & Chong, T. H. 1980 Phys. Fluids 23, 1291.
Varley, E., Ventakaraman, R. & Cumberbatch, E. 1971 J. Fluid Mech. 49, 775.
Whitham, G. B. 1958 J. Fluid Mech. 4, 337.