THEORY OF OPTIMUM SHAPES IN FREE-SURFACE FLOWS. PART 1. OPTIMUM PROFILE OF SPRAYLESS PLANING SURFACE

The paper attempts to determine the optimum profile of a two-dimensional plate that produces the maximum hydrodynamic lift while planing on a water surface, under the condition of no spray formation and no gravitational effect. The lift is maximized under the isoperimetric constraints of fixed chord length and fixed wetted arc-length of the plate. The analytical solution exhibits either a branch-type or a logarithmic singularity. Guided by this analytical behavior, approximate solutions of the full nonlinear problem have been obtained by the Rayleigh-Ritz method. (Author)

• Supplemental Notes:
  • Revision of report dated 8 September 1971. See also Part 2, MRIS #044628.
• Corporate Authors:

  California Institute of Technology

  Division of Engineering and Applied Science
  1200 East California Boulevard
  Pasadena, CA  United States  91125
• Authors:
  • Wu, TYT
  • Whitney, A K
• Publication Date: 1972-7-6

Media Info

• Pagination: 19 p.

Subject/Index Terms

• TRT Terms: Flow; Free surface; Hydrodynamics; Optimization; Planing hulls
• Old TRIS Terms: Free surface effects; Hydrodynamic configurations; Optimum flow profiles; Planing surfaces
• Subject Areas: Design; Hydraulics and Hydrology; Marine Transportation;

Filing Info

• Accession Number: 00044627
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: E156.3
• Files: TRIS
• Created Date: Sep 4 1973 12:00AM