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.
University of Michigan, Ann ArborDepartment of Naval Architects and Marine Engineers
Ann Arbor, MI United States 48109
- Shen, Y T
- Publication Date: 1970-11
- Features: References;
- Pagination: 128 p.
- 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;
- 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