THE HYDROFOIL WITH FINITE CAVITY IN A SOLID-WALL CHANNEL

The asymmetrical fully cavitating linearized flow about an arbitrarily shaped slender hydrofoil placed anywhere in a solid-wall channel is considered as a doubly connected region problem. The method of solution involves conformal mapping and a generalization of the Plemelj formulas to doubly periodic functions. The velocity field is expressed in terms of Jacobis theta functions with the nome q of these functions related directly to the cavity-length/channel-width ratio. Explicit results are obtained for a fully cavitating flat plate at small angles of attack in a midchannel position. For small q, simple wall effect correction terms are obtained for the cavity length and the lift coefficient as a function of cavitation number. These correction terms are correct up to and including third order in q and require no quadratures. For large values of the cavity-length/channel-width ratio (q close to unity) the asymptotic choked flow solution is used to compute the blockage cavitation number and the lift coefficient for the choked flow.

• 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:
  • Schot, S H
• Publication Date: 1971-6

Media Info

• Pagination: 125 p.
• Serial:
  • Journal of Ship Research
  • Volume: 15
  • Issue Number: 2
  • 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: Cavitation (Mechanics); Hydrofoils
• Uncontrolled Terms: Blockage; Conformal mapping
• Subject Areas: Design; Marine Transportation;

Filing Info

• Accession Number: 00016622
• Record Type: Publication
• Files: TRIS
• Created Date: Aug 20 1972 12:00AM