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  USA  91125
  • Authors:
    • Wu, TYT
    • Whitney, A K
  • Publication Date: 1972-7-6

Media Info

  • Pagination: 19 p.

Subject/Index Terms

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