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  United States  48109
• Authors:
  • Shen, Y T
• Publication Date: 1970-11

Media Info

• Features: References;
• Pagination: 128 p.

Subject/Index Terms

• TRT Terms: Flow; Inviscid fluids; Planing hulls; Potential flow; Velocity
• Old TRIS Terms: Inviscid flow; Planing surfaces; Velocity potential
• Subject Areas: Marine Transportation; Vehicles and Equipment;

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