For steady motion of a propeller operating in an inviscid fluid having an unbounded irrotational flow field, an expression for the velocity potential (in excess of the body motion) is derived in terms of the boundary values. From this expression perturbation solutions are determined--one for small thickness--or camber-to-chord ratio and one for small chord-to-diameter ratio. The first problem (lifting-surface theory) is a regular-peturbation problem, and the second (lifting-line theory) is a singular-perturbation problem which requires construction of matched asymptotic expansions. Two terms of each series are found. Numerical techniques are not discussed. The outer solution for the lifting line is the same as that published in the literature. The formal lifting-surface differs from other developments in several ways. A design procedure is discussed which involves only quantities appropriate for the lifting-surface analysis. (Modified author abstract)

  • Corporate Authors:

    Naval Ship Research and Development Center

    Bethesda, MD  United States  20034
  • Authors:
    • Brockett, T
  • Publication Date: 1972-10

Media Info

  • Pagination: 127 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00051747
  • Record Type: Publication
  • Source Agency: National Technical Information Service
  • Report/Paper Numbers: NSRDC-3880 R&D Rpt
  • Files: TRIS
  • Created Date: Mar 25 1974 12:00AM