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.
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Society of Naval Architects and Marine Engineers601 Pavonia Avenue
Jersey City, NJ United States 07306-2907
- Schot, S H
- Publication Date: 1971-6
- Pagination: 125 p.
- TRT Terms: Cavitation (Mechanics); Hydrofoils
- Uncontrolled Terms: Blockage; Conformal mapping
- Subject Areas: Design; Marine Transportation;
- Accession Number: 00016622
- Record Type: Publication
- Files: TRIS
- Created Date: Aug 20 1972 12:00AM