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Forces and moments on a ship moving in a canal
Beck, R.F. (1976). Forces and moments on a ship moving in a canal. NA & ME Technical Reports, 179. Michigan University: Ann Arbor. 46 pp.
Part of: NA & ME Technical Reports. Department of Naval Architecture and Marine Engineering University of Michigan. Department of Naval Architecture and Marine Engineering, more

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    Navigation; Navigation canals; Shallow water; Ships; Yaw

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  • Beck, R.F.

    The method of matched asymptotic expansions is applied to the problem of a ship moving with constant velocity in a channel of rectangular cross-section. The depth of the channel is presumed small so that a linearized shallow-water solution is developed. The ship is assumed to be slender and is replaced in the outer region by a distribution of sources and vortices. As in earlier theories for slender bodies translating in shallow water, the source strength is proportional to the change in cross-sectional area of the ship. An integral equation must be solved to find the vortex strength. Using the source and vortex strengths, expressions are developed for the side force, yaw moment, sinkage and trim. Numerical results are presented which show good agreement with experimental results.

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