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A non-linear theory for a full cavitating hydrofoil in a transverse gravity field

Published online by Cambridge University Press:  28 March 2006

Bruce E. Larock  and
Robert L. Street
Bruce E. Larock
Affiliation:
Now at University of California (Davis). Stanford University
Robert L. Street
Affiliation:
Stanford University
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Abstract

An analysis is made of the effect of a transverse gravity field on a two-dimensional fully cavitating flow past a flat-plate hydrofoil. Under the assumption that the flow is both irrotational and incompressible, a non-linear method is developed by using conformal mapping and the solution to a mixed-boundary-value problem in an auxiliary half plane. A new cavity model, proposed by Tulin (1964a), is employed. The solution to the gravity-affected case was found by iteration; the non-gravity solution was used as the initial trial of a rapidly convergent process. The theory indicates that the lift and cavity size are reduced by the gravity field. Typical results are presented and compared to Parkin's (1957) linear theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 29 , Issue 2 , 11 August 1967 , pp. 317 - 336
Copyright
© 1967 Cambridge University Press

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