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J. Fluid Mech. (2008), vol. 616, pp. 397417. c 2008 Cambridge University Press doi:10.1017/S0022112008004035 Printed in the United Kingdom
 

Summary: J. Fluid Mech. (2008), vol. 616, pp. 397­417. c 2008 Cambridge University Press
doi:10.1017/S0022112008004035 Printed in the United Kingdom
397
Ships advancing near the critical speed in a
shallow channel with a randomly uneven bed
MOHAMMAD-REZA ALAM1
AND CHIANG C. MEI2
1
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge,
MA 02139, USA
2
Department of Civil and Environmental Engineering, Massachusetts Institute of Technology,
Cambridge, MA 02139 USA
(Received 22 February 2008 and in revised form 18 August 2008)
Effects of random bathymetric irregularities on wave generation by transcritical ship
motion in a shallow channel are investigated. Invoking Boussinesq approximation
in shallow waters, it is shown that the wave evolution is governed by an integro-
differential equation combining features of Korteweg­deVries and Burgers equations.
For an isolated ship, the bottom roughness weakens the transient waves radiated both
fore and aft. When many ships advance in tandem, a steady mount of high water can

  

Source: Alam, Mohammad-Reza - Department of Mechanical Engineering, Massachusetts Institute of Technology (MIT)

 

Collections: Engineering