Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-20T06:28:32.015Z Has data issue: false hasContentIssue false
  • English
  • Français

Radiation of solitons by slender bodies advancing in a shallow channel

Published online by Cambridge University Press:  21 April 2006

C. C. Mei
C. C. Mei
Affiliation:
Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

It is known from recent experiments that the disturbance due to a slender ship advancing in a shallow channel is essentially one-dimensional in the horizontal plane. In particular solitons can be radiated upstream in a transient manner. In this note we develop a theory for soliton radiation by slender bodies. It is shown that, when the ship speed is in the transcritical range, one-dimensional upstream influence can occur even when the channel width is nearly of the order of the ship length but much greater than the ship beam. The theory is also extended to one or more ships travelling in the same channel at near-critical speeds.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 162 , January 1986 , pp. 53 - 67
Copyright
© 1986 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

Akylas, T. R. 1984 On the excitation of long nonlinear water waves by a moving pressure distribution. J. Fluid Mech. 141, 455–466.Google Scholar
Ertekin, R. C. 1984 Soliton generation by moving disturbances in shallow water: theory, computation and experiment. Ph.D. thesis, Department Naval Arch., Offshore Engng, University of California, Berkeley.
Ertekin, R. C., Webster, W. C. & Wehausen, J. V. 1984 Ship-generated solitons. In Proc. 15th Symp. Naval Hydrodyn., Hamburg.
Graff, W. 1962 Untersuchungen über die Ausbildung des Wellenwiderstandes im Bereich der Stauwellengeschwindigkeit in flachem, seitlich beschránktem Fahrwasser. Schifftechnik 9, 110–122.Google Scholar
Huang, D. B., Sibul, O. J., Webster, W. C., Wehausen, J. V., Wu, D. M. & Wu, T. Y. 1982 Ships moving in the transcritical range. In Proc. Conference on Behavior of Ships in Restricted Waters, Varna, Bulgaria, 26–1–26–9.
Johnson, R. S. 1972 Some numerical solutions of a variable coefficient Korteweg-de Vries equation. J. Fluid Mech. 54, 81–91.Google Scholar
Kostyukov, A. A. 1968 Theory of Ship Waves and Wave Resistance Iowa City, E.C.I.Google Scholar
Mei, C. C. 1976 Flow around a thin body moving in shallow water. J. Fluid Mech. 77, 737–751.Google Scholar
Schmidt-Stiebitz, H. 1966 Die Abhángigkeit des Schiffswiderstandes von flachwasserbedingten Umströmungs- und Wasserspiegelveránderungen. Schiff und Hafen 18, (6), 381–395.Google Scholar
Thews, J. G. & Landweber, L. 1935 The influence of shallow water on the resistance of a cruiser model. US Experimental Model Basin, Navy Yard, Washington, D.C. Rep. No. 408.
Thews, J. G. & Landweber, L. 1936 A thirty-inch model of the S.S. Clairton in shallow water. US Experimental Model Basin, Navy Yard, Washington, D.C., Rep. No. 414.
Wehausen, J. V. & Laitone, E. V. 1960 Surface waves. Handbuch der Physik, vol. 9. Springer.
Wu, D. M. & Wu, T. Y. 1982 Three-dimensional nonlinear long waves due to moving surface pressure. In Proc. 14th Symp. Naval Hydrodyn., 103–129.