Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-19T16:54:43.619Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  26 April 2006

Neelam Gupta
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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.