THE APPLICATION OF GEGENBAUER POLYNOMIALS TO THE MICHELL INTEGRAL

Gegenbauer polynomials have been used to define the centerplane distribution of Havelock sources defining the ship in the Michell thin-ship theory. Orthogonality properties have been used to reduce the Michell integral to a double finite sum of coefficients defined in terms of the singularity distribution, the Froude number, and the length--draft ratio.

• 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:
  • Michelsen, F C
• Publication Date: 1972-3

Media Info

• Features: References;
• Pagination: p. 60-65
• Serial:
  • Journal of Ship Research
  • Volume: 16
  • 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: Fluid resistance; Hulls; Ships; Wave resistance
• Uncontrolled Terms: Hull resistance
• Old TRIS Terms: Thin ship theory
• Subject Areas: Design; Marine Transportation; Vehicles and Equipment;

Filing Info

• Accession Number: 00037483
• Record Type: Publication
• Source Agency: Society of Naval Architects and Marine Engineers
• Files: TRIS
• Created Date: Nov 10 1973 12:00AM