THEORY OF HIGH-ASPECT-RATIO PLANING SURFACES

A high-aspect-ratio planing surface gliding on a stream of an infinitely deep, incompressible, inviscid and gravity-free fluid is treated. This complicated problem is decomposed into two relatively simpler boundary-value problems. The near-field boundary-value problem is valid only in the neighborhood of the planing surface. The problem is solved by the classic hodograph method. The second-order inner problem is also shown to be a plane, irrotational flow and the solution is obtained by following the same procedure as given in the first-order inner solution. The far-field boundary-value problem is valid only far away from the planing surface. The first-order outer solution is shown to be a trivial uniform flow. The outer velocity potential is defined in the whole space by harmonic continuation. The second-order solution is then shown to be similar to a lifting line solution. It is shown mathematically that the present theory can be applied to V-shape or general shape planing surfaces with curvature in the spanwise direction.

  • Corporate Authors:

    University of Michigan, Ann Arbor

    Department of Naval Architects and Marine Engineers
    Ann Arbor, MI  USA  48109
  • Authors:
    • Shen, Y T
  • Publication Date: 1970-11

Media Info

  • Features: References;
  • Pagination: 128 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00072747
  • Record Type: Publication
  • Source Agency: University of Michigan, Ann Arbor
  • Report/Paper Numbers: No. 102 Tech. Rpt.
  • Contract Numbers: N00014-67A-0181-0019, NR 062-421
  • Files: TRIS
  • Created Date: Jan 16 1975 12:00AM