Hostname: page-component-5c6d5d7d68-xq9c7 Total loading time: 0 Render date: 2024-08-28T16:01:53.329Z Has data issue: false hasContentIssue false
  • English
  • Français

Propagation of water waves past long two-dimensional obstacles

Published online by Cambridge University Press:  28 March 2006

J. N. Newman
J. N. Newman
Affiliation:
David Taylor Model Basin, Washington, D.C.
Get access Rights & Permissions [Opens in a new window]

Abstract

An approximate analysis is developed for the propagation of water waves past long obstacles by considering separately the effects of diffraction at each end. The motion is two-dimensional, and linearized potential flow is assumed. Reflexion and transmission coefficients are obtained for the long obstacle, and it is shown that for suitably chosen values of the obstacle length there is complete transmission due to interference between the two ends. A comparison is made with experiments for the case of a rectangular obstacle.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 23 , Issue 1 , September 1965 , pp. 23 - 29
Copyright
© 1965 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

Biesel, F. & Le Méhauté, B. 1955 étude theorique de la réflexion de la houle sur certains obstacles. Houille blanche, 10, 130.Google Scholar
Dean, W. R. 1948 On the reflexion of surface waves by a submerged circular cylinder. Proc. Camb. Phil. Soc. 44, 483.Google Scholar
Jolas, P. 1960 Passage de la houle sur un seuil. Houille blanche, 15, 148.Google Scholar
Kreisel, H. 1949 Surface waves. Quart. Appl. Math. 7, 21.Google Scholar
Newman, J. N. 1965 Propagation of water waves over an infinite step. J. Fluid Mech. (In Press).Google Scholar
Takano, K. 1960 Effects d'un obstacle parallélépipédique sur la propagation de la houle. Houille blanche, 15, 247.Google Scholar
Wehausen, J. V. 1963 Recent developments in free surface flows. Inst. Engng Res. Rep. no. NA-63-5, University of California.Google Scholar
Wehausen, J. V. & Laitone, E. V. 1960 Surface waves. Handbuch der Physik, 9. Berlin: Springer.