Hostname: page-component-7dd5485656-hw7sx Total loading time: 0 Render date: 2025-11-02T08:54:34.970Z Has data issue: false hasContentIssue false
  • English
  • Français

Waves on a stream of finite depth which has a velocity defect near the free surface

Published online by Cambridge University Press:  29 March 2006

P. L. Betts
P. L. Betts
Affiliation:
Department of Mechanical Engineering, University of Manchester Institute of Science and Technology
Get access Rights & Permissions [Opens in a new window]

Abstract

The conditions under which stationary waves may exist on a stream of water of finite depth are investigated theoretically for the case of a current which is uniform except for a constant defect in velocity in a region near the free surface. The analysis is extended to provide a two-dimensional theory for the surface profile induced by a simplified model of a hovering craft. The relevance of this work to the use of high speed flumes is discussed, and an example demonstrates the importance of the velocity distribution near the free surface.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 41 , Issue 3 , 29 April 1970 , pp. 509 - 521
Copyright
© 1970 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.)

Article purchase

Temporarily unavailable

References

Binnie, A. M., Davies, P. O. A. L. & Orkney, J. C. 1955 Experiments on the flow of water from a reservoir through an open horizontal channel. I. The production of a uniform stream. Proc. Roy. Soc. A 230, 225.Google Scholar
Hogben, N. 1967 Hovering craft over water. Advances in Hydroscience, 4, 1.Google Scholar
Lamb, H. 1932 Hydrodynamics, 6th ed. Cambridge University Press.
Taylor, G. I. 1955 The action of a surface current used as a breakwater. Proc. Roy. Soc. A 231, 466.Google Scholar