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Waves caused by a moving disturbance in a shallow channel of finite width

Published online by Cambridge University Press:  21 April 2006

R. C. Ertekin ,
W. C. Webster  and
J. V. Wehausen
R. C. Ertekin
Affiliation:
Department of Naval Architecture & Offshore Engineering, University of California, Berkeley Present address: Department of Ocean Engineering, University of Hawaii, Honolulu.
W. C. Webster
Affiliation:
Department of Naval Architecture & Offshore Engineering, University of California, Berkeley
J. V. Wehausen
Affiliation:
Department of Naval Architecture & Offshore Engineering, University of California, Berkeley
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Abstract

The flow created by an impulsively started pressure distribution travelling at a constant velocity in a shallow channel is investigated. The restricted Green-Naghdi theory of fluid sheets is used to perform the three-dimensional calculations. The results show remarkable similarity to model tests. In particular, these calculations predict the periodic generation of two-dimensional solitons in front of and travelling faster than the disturbance if the disturbance is large enough. Behind the disturbance a complicated, doubly corrugated set of waves is formed. The computations also predict that periodic creation of solitons is accompanied by a correspondingly periodic oscillation of the wave drag, as well as a dramatic increase in the mean wave drag.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 169 , August 1986 , pp. 275 - 292
Copyright
© 1986 Cambridge University Press

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