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Motion of a bore over a sloping beach: an approximate analytical approach

Published online by Cambridge University Press:  11 April 2006

P. L. Sachdev  and
V. S. Seshadri
P. L. Sachdev
Affiliation:
Department of Applied Mathematics, Indian Institute of Science, Bangalore 560012
V. S. Seshadri
Affiliation:
Department of Applied Mathematics, Indian Institute of Science, Bangalore 560012
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Abstract

The motion of a bore over a sloping beach, earlier considered numerically by Keller, Levine & Whitham (1960), is studied by an approximate analytic technique. This technique is an extension of Whitham's (1958) approach for the propagation of shocks into a non-uniform medium. It gives the entire flow behind the bore and is shown to be equivalent to the theory of modulated simple waves of Varley, Ventakaraman & Cumberbatch (1971).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 78 , Issue 3 , 7 December 1976 , pp. 481 - 487
Copyright
© 1976 Cambridge University Press

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References

Ardavan Rhad, H. 1970 J. Fluid Mech. 43, 737.
Friedman, M. P. 1960 J. Fluid Mech. 8, 193.
Hayes, W. D. 1968 J. Fluid Mech. 32, 305, 317.
Keller, H. B., Levine, D. A. & Whitham, G. B. 1960 J. Fluid Mech. 7, 302.
Meyer, R. E. & Ho, D. V. 1963 J. Acoust. Soc. Am. 35, 1126.
Varley, E., Ventakaraman, R. & Cumberbatch, E. 1971 J. Fluid Mech. 49, 775.
Whitham, G. B. 1958 J. Fluid Mech. 4, 337.
Yousaf, M. 1974 J. Fluid Mech. 66, 577.