Premium
Lifting‐Line Theory of Supercavitating Propellers at Non‐zero Cavitation Numbers
Author(s) -
Nishiyama T.
Publication year - 1971
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.19710510801
Subject(s) - supercavitation , propeller , cavitation , radius , line (geometry) , constant (computer programming) , integral equation , circulation (fluid dynamics) , mathematics , mechanics , field (mathematics) , mathematical analysis , physics , geometry , engineering , computer science , marine engineering , computer security , programming language , pure mathematics
Lifting‐line theory is developed to estimate the characteristics of a supercavitating propeller at non‐zero cavitation numbers. Main treatments are enumerated as follows1 Introduction of the lifting‐line technique to a coupled integral equation in perturbed flow field shows that twodimensionality still holds with respects to an effective angle of attack for any blade element. Thus, making use of this result, an integral equation is derived for the circulation of the blade element at any radius and its numerical method of solution is proposed. 2 Partial and overall characteristics of propeller are obtained and discussed in relation to the cavitation numbers and advance constant. And also the optimum distribution of circulation is clarified at specified torque and advance constant. 3 Comparisons with the experimental data are made to confirm the appropriateness of the present theory.