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Nonlinear calculation of arbitrarily shaped supercavitating hydrofoils near a free surface

Published online by Cambridge University Press:  29 March 2006

Okitsugu Furuya
Okitsugu Furuya
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena Present address: Tetra Tech. Inc., Pasadena, California 91107.
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Abstract

A nonlinear exact solution to the problem of two-dimensional gravity-free incompressible potential flow around an arbitrarily shaped supercavitating hydrofoil near a free surface is obtained. A combination of Newton's method with a functional iterative procedure is used to solve the nonlinear integral and algebraic equations of this problem. Fast and stable convergence results by starting the iteration with a readily chosen initial solution. Some representative numerical computations are made for practical hydrofoils having both generally shaped camber and leading-edge thickness distributions. The force coefficients, pressure distribution and free-streamline shapes of the cavity are calculated for each case with an execution time on an IBM 370-158 of 200–530 s depending upon the initial trial solution.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 68 , Issue 1 , 11 March 1975 , pp. 21 - 40
Copyright
© 1975 Cambridge University Press

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