THREE-DIMENSIONAL PLANING AT HIGH FROUDE NUMBER

The steady motion of a planing surface of moderate aspect ratio at small angles of attack is considered. Linearized theory is used with a square-root type of pressure sigularity representing the flow near the leading edge. An asymptotic solution for the pressure distribution on the planing surface at large Froude number ( or small Beta, the inverse of the Froude number) is sought. The lowest-order term of the pressure distribution, obtained by setting Beta equal to zero, is found to be the same as the pressure distribution on the lower side of the corresponding thin wing. Higher-order terms in Beta are obtained by an iteration process. Explicit solutions are obtained to order Beta square for rectangular planforms. Numerical results are calculated for rectangular flat plate planing surfaces of aspect ratios from 0.5 to 2.0. It is found that for large aspect ratios the lift coefficient is reduced by the gravity effect and for small aspect ratios it is increased, the dividing aspect ratio being about 1.5. The results compare reasonably well with experimental data.

• 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:
  • Wang, D P
  • Rispin, P
• Publication Date: 1971-9

Media Info

• Features: Figures; References;
• Pagination: p. 221-230
• Serial:
  • Journal of Ship Research
  • Volume: 15
  • Issue Number: 3
  • 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; Planing hulls; Pressure; Rectangles
• Uncontrolled Terms: Pressure distribution
• Old TRIS Terms: Free surface effects; Planing surfaces; Rectangular bodies
• Subject Areas: Design; Marine Transportation;

Filing Info

• Accession Number: 00019573
• Record Type: Publication
• Source Agency: Society of Naval Architects and Marine Engineers
• Files: TRIS
• Created Date: Nov 25 1972 12:00AM