THIRD-ORDER INTERACTIONS IN KELVIN SHIP-WAVE SYSTEMS

This paper considers the possible existence of third-order resonant interactions in Kelvin ship wave systems, Such interactions will generally occur when two discrete plane wave systems are present, but O.M. Phillips' criterion for third-order interactions is applied to the Kelvin pattern to show that there is no resonant interaction, except possibly along the cusp line. A more accurate analysis is then performed in the vicinity of the cusp line, using triple-integral solutions of the third-order free-surface condition, and it is shown that the resulting solutions are divergent on the cusp line, for large distances behind the disturbance. It is concluded that significant nonlinear interactions can occur on the cusp line, involving energy transfer among adjacent wave numbers.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/00224502
• Corporate Authors:

  Society of Naval Architects and Marine Engineers

  601 Pavonia Avenue
  Jersey City, NJ  United States  07306-2907
• Authors:
  • Newman, J N
• Publication Date: 1970-3

Media Info

• Features: References;
• Pagination: p. 1-10
• Serial:
  • Journal of Ship Research
  • Volume: 15
  • Issue Number: 1
  • Publisher: Society of Naval Architects and Marine Engineers
  • ISSN: 0022-4502
  • EISSN: 1542-0604
  • Serial URL: https://onepetro.org/jsr

Subject/Index Terms

• TRT Terms: Free surface; Perturbations; Ship motion; Water waves; Wave resistance
• Uncontrolled Terms: Ship wash
• Old TRIS Terms: Free surface effects; Perturbation problems
• Subject Areas: Design; Hydraulics and Hydrology; Marine Transportation;

Filing Info

• Accession Number: 00025601
• Record Type: Publication
• Source Agency: Engineering Index
• Files: TRIS
• Created Date: Feb 11 1972 12:00AM