APPLICATIONS OF SLENDER-BODY THEORY IN SHIP HYDRODYNAMICS

The survey reviews the recent applications of slender-body theory to the field of ship hydrodynamics, and thus concerns the motion of a fluid past a slender body, but in the presence of exterior boundaries, and especially near or on a free surface. To make analytical progress viscous effects are ignored which are known to be significant in the steady-state resistance problem, but negligible in most unsteady problems such as that of predicting the heaving and pitching motions of a ship in a seaway. As in other areas of fluid mechanics, progress in this field has been significantly accelerated by the technique of matched asymptotic (or "inner-outer") expansions, although it could be argued that most or all of the problems to be discussed have been or could be successfully treated by other methods. The technique of matched asymptotic expansions is used here, because of the power associated with this method, and because it has become popular and relatively well known to contemporary scientists and engineers. Attention is primarily restricted to the mathematical details of various problems, and to the unity which results from employment of matched asymptotic expansions.

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    Annual Reviews Incorporated

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  • Authors:
    • Newman, J N
  • Publication Date: 1970

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Filing Info

  • Accession Number: 00050899
  • Record Type: Publication
  • Source Agency: Massachusetts Institute of Technology
  • Contract Numbers: N00014-67A-0204-0023, NSF-GK 10846
  • Files: TRIS
  • Created Date: Feb 15 1974 12:00AM