WATERWAVE SINGULARITIES IN A PROLATE SPHEROIDAL COORDINATE SYSTEM

Singular velocity potentials are derived which satisfy the linear free-surface boundary condition and appropriate initial condition or radiation condition, but which are singular in the same form as a spheriodal harmonic. These singularities can be utilized to satisfy boundary conditions on submerged spheroids without integrating conventional point sources or dipoles over the body surface or axis, in an analogous manner to the use of spheriodal harmonics in an unbounded fluid. Equations are derived for the cases of steady and unsteady motion and of sinusoidal time-dependence, either at zero or constant forward velocity of the spheroid.

• Supplemental Notes:
  • Revision of report dated 23 August 1971. Also available in Journal of Ship Research, V14 N1, pp41-46, March 1972.
• Corporate Authors:

  Massachusetts Institute of Technology

  Department of Ocean Engineering, 77 Massachusetts Avenue
  Cambridge, MA  United States  02139
• Authors:
  • Newman, J N
• Publication Date: 1972-11-5

Media Info

• Pagination: 7 p.

Subject/Index Terms

• TRT Terms: Boundary layer; Free surface; Water waves
• Old TRIS Terms: Boundary layer theory; Free surface effects
• Subject Areas: Design; Hydraulics and Hydrology; Marine Transportation;

Filing Info

• Accession Number: 00034715
• Record Type: Publication
• Source Agency: National Technical Information Service
• Contract Numbers: N00014-67-A-02040023
• Files: TRIS
• Created Date: Sep 29 1972 12:00AM