A SYSTEMATIC APPROACH TO THE BOW PROBLEM

The wave making effectiveness of a ship is an important feature that must be fully recognized in developing a uniformly valid slender-ship theory for the wave resistance problem. The usual results of ordinary slender-ship theory are invalid near the bow of a slender ship because the theory fails to take into account the dominant effects of the divergent wave system in this region. A new approach based on the matched asymptotic expansions technique is used to solve the bow problem. The general solution of the far-field problem includes the well-known wave-free potentials plus the potential due to a line distribution of wave sources that extends outside the limits of the ship to guarantee the proper description of the far-field flow. The bow-near-field problem and the general form of its solution are derived. In order to match the two solutions in their overlap domain near the bow, the far-field source function is decomposed into two parts that include a 'slowly' varying source function and a 'rapidly' varying source function. The slowly varying sources can be determined from the solution of the bow-near-field problem. However, the rapidly varying sources, which are associated with the disturbances ahead of the bow and consequently needed to obtain the solution of the bow-near-field problem, cannot be determined unless we match the bow flow to the middle-body flow. The next step in the analysis will concern this problem. (Author)

  • Corporate Authors:

    University of Michigan, Ann Arbor

    Department of Naval Architects and Marine Engineers
    Ann Arbor, MI  United States  48109
  • Authors:
    • Daoud, N
  • Publication Date: 1978-7

Media Info

  • Pagination: 54 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00191553
  • Record Type: Publication
  • Source Agency: National Technical Information Service
  • Report/Paper Numbers: 202 Final Rpt.
  • Contract Numbers: N00014-75-C-0366
  • Files: TRIS
  • Created Date: May 26 1979 12:00AM