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Lifting‐line Theory of Supercavitating Hydrofoil of Finite Span
Author(s) -
Nishiyama T.
Publication year - 1970
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19700501102
Subject(s) - supercavitation , span (engineering) , cavitation , line (geometry) , flow (mathematics) , mathematics , field (mathematics) , mechanics , structural engineering , physics , engineering , geometry , pure mathematics
Lifting‐line theory is developed for a supercavitating hydrofoil of finite span at non‐zero cavitation number. Main treatments in the paper are enumerated as follous: 1 Simplification of basic equations in the perturbed flow field for a supercavitating hydrofoil of large aspect ratio shows that two‐dimensionality still holds with respect to an effective angle of attack over the span. 2 Making use of this result, an integral equation is derived for the circulation distribution over the span at non‐zero cavitation number and then its numerical method of solution is shown. 3 Foil characteristics are obtained analytically from circulation calculated and also discussed in details in relation to the aspect ratio and cavitation number. Particularly, a three dimensional correction factor is introduced to the supercavitating hydrofoils of finite span. 4 Comparisons with the experimental data and former theories are made to confirm the appropriateness of the present theory.