Cavity flow past a slender pointed hydrofoil

Creators: Cumberbatch, E.; Wu, T. Y.

Abstract

A slender-body theory for the flow past a slender, pointed hydrofoil held at a small angle of Attack to the flow, with a cavity on the upper surface, has been worked out. The approximate solution valid near the body is seen to be the sum of two components. The first consists of a distribution of two-dimensional sources located along the centroid line of the cavity to represent the variation of the cross-sectional area of the cavity. The second component represents the crossflow perpendicular to the centroid line. It is found that over the cavity boundary which envelops a constant pressure region, the magnitude of the cross-flow velocity is not constant, but varies to a moderate extent. With this variation neglected only in the neighbourhood of the hydrofoil, the cross-flow is solved by adopting the Riabouchinsky model for the two-dimensional flow. The lift is then calculated by integrating the pressure along the chord; the dependence of the lift on cavitation number and angle of attack is shown for a specific case of the triangular plan form.

Additional Information

"Reprinted with the permission of Cambridge University Press." (Received 1 July 1960 and in revised form 3 April 1961). This work was carried out under the Bureau of Ships fundamental hydrodynamics research programme, Project NS 715-102, David Taylor Model Basin. Reproduction in whole or in part is permitted for any purpose of the United States Government. The authors wish to thank Mr T. Kiceniuk for his courtesy in furnishing the preliminary data used here. The assistance rendered by Mrs Rose Grant, Mrs Barbara Cumberbatch, and Mrs Zora Harrison in preparation of the manuscript is greatly appreciated.

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