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The flow due to a slender ship moving over a wavy wall in shallow water

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Summary

The problem under investigation is the unsteady subcritical potential flow generated by a slender ship translating over a wavy wall in shallow water. The method of matched asymptotic expansions is used to take advantage of the simplified governing equations in the near and far fields. The vertical force and pitching moment coefficients are calculated as functions of the reduced frequency and Froude number with a view towards possible application to ship safety considerations.

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References

  1. E. O. Tuck, Shallow-water flows past slender bodies,Journal of Fluid Mechanics, 26 (1966) 81–95.

    Google Scholar 

  2. E. O. Tuck, Sinkage and trim in shallow water of finite width,Schiffstechnik, 14 (1967) 92–94.

    Google Scholar 

  3. J. N. Newman, Lateral motion of a slender body between two parallel walls,Journal of Fluid Mechanics, 39 (1969) 97–115.

    Google Scholar 

  4. E. O. Tuck, Ship motions in shallow water,Journal of Ship Research, 14, 4 (1970) 317–328.

    Google Scholar 

  5. E. O. Tuck and P. J. Taylor, Shallow wave problems in ship hydrodynamics,Proceedings of the Eighth Symposium on Naval Hydrodynamics, Pasadena, California, (1970) 627–659.

  6. A. Plotkin, Flow past an anchored slender ship in variable-depth shallow water,Journal of Hydronautics, 9 (1975) 103–106.

    Google Scholar 

  7. R. F. Beck, J. N. Newman and E. O. Tuck, Hydrodynamic forces on ships in dredged channels,Journal of Ship Research, 19, 3 (1975) 166–171.

    Google Scholar 

  8. A. Robinson and J. A. Laurmann,Wing Theory, Cambridge University Press (1956).

  9. T. F. Ogilvie and E. O. Tuck, A rational strip theory of ship motions: Part 1,Report No. 013, Department of Naval Architecture and Marine Engineering, University of Michigan, March 1969.

  10. M. Van Dyke,Perturbation Methods in Fluid Mechanics, Academic Press, New York (1964).

    Google Scholar 

  11. A. H. Stroud and D. Secrest,Gaussian Quadrature Formulas, Prentice Hall, New Jersey (1966).

    Google Scholar 

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Authors and Affiliations

  1. Department of Aerospace Engineering, University of Maryland, College Park, Maryland, USA

    A. Plotkin

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  1. A. Plotkin
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Plotkin, A. The flow due to a slender ship moving over a wavy wall in shallow water. J Eng Math 10, 207–218 (1976). https://doi.org/10.1007/BF01535383

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  • DOI: https://doi.org/10.1007/BF01535383

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