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Published March 11, 1975 | Published
Journal Article Open

Nonlinear calculation of arbitrarily shaped supercavitating hydrofoils near a free surface

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 200-530s depending upon the initial trial solution.

Additional Information

© 1975 Cambridge University Press. Published Online March 29 2006; Received December 15 1973. The author wishes to express his gratitude to Professor A. J. Acosta for his continuing interest and encouragement. The interest and advice of Professor T.Y. Wu is also appreciated. This work was supported by the Naval Ship Systems Command General Hydromechanics Research Program, technically administered by the Naval Ship Research and Development Center under Contract N00014-67-A-0094-0031.

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Created:
August 19, 2023
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October 18, 2023