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Nonlinear calculation of arbitrarily shaped supercavitating hydrofoils near a free surface

Furuya, Okitsugu (1975) Nonlinear calculation of arbitrarily shaped supercavitating hydrofoils near a free surface. Journal of Fluid Mechanics, 68 (1). pp. 21-40. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:20120802-100533277

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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 200-530s depending upon the initial trial solution.


Item Type:Article
Related URLs:
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http://dx.doi.org/10.1017/S0022112075000663DOIUNSPECIFIED
http://journals.cambridge.org/abstract_S0022112075000663PublisherUNSPECIFIED
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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Naval Ship Research and Development Centre (NSRDC)N00014-67-A-0094-0031
Record Number:CaltechAUTHORS:20120802-100533277
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120802-100533277
Official Citation:Okitsugu Furuya (1975). Nonlinear calculation of arbitrarily shaped supercavitating hydrofoils near a free surface. Journal of Fluid Mechanics, 68 , pp 21-40 doi:10.1017/S0022112075000663
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32874
Collection:CaltechAUTHORS
Deposited By: Aucoeur Ngo
Deposited On:02 Aug 2012 18:24
Last Modified:26 Dec 2012 15:48

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