ON THE WAVE RESISTANCE OF A SUBMERGED SPHEROID

A solution to the problem of potential flow about a submerged prolate spheroid in axial horizontal motion beneath a free surface has been derived within the theory of infinitesimal waves, satisfying exactly the body boundary condition, and the wave resistance of the spheroid has been evaluated. The solution is in the form of a distribution of sources on the surface of the spheroid; the analysis yields an infinite set of equations for determining the coefficients of the expansion of the potential of the distribution in spheroidal harmonics. The difference between the present results for the wave resistance and those given by Havelock's approximation is found to be rather significant. Comparison with experimental wave resistance measurements obtained using the wake-survey technique shows agreement for Froude numbers between 0.35 and 0.40. (Author)

• Supplemental Notes:
  • Revision of report dated 12 Jun 72. Availability: Pub. in Jnl. of Ship Research, v17 p1-11 Mar 73.
• Corporate Authors:

  University of Iowa, Iowa City

  Iowa Institute of Hydraulic Research, 300 South Riverside Drive
  Iowa City, IA  United States  52242-1585
• Authors:
  • Farell, C
• Publication Date: 1972-8-22

Media Info

• Pagination: 13 p.

Subject/Index Terms

• TRT Terms: Approximation (Mathematics); Bodies of revolution; Flow fields; Free surface; Hydrodynamics; Numerical analysis; Potential flow; Spheres; Underwater structures; Wakes; Water waves; Wave motion; Wave resistance
• Old TRIS Terms: Free surface effects; Prolate spheroids; Underwater objects
• Subject Areas: Bridges and other structures; Design; Hydraulics and Hydrology; Marine Transportation;

Filing Info

• Accession Number: 00048332
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: IIHR-Reprint-316
• Contract Numbers: N00014-68-A-0196-000, Nonr-1611(07)
• Files: TRIS
• Created Date: Nov 14 1973 12:00AM