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THE LINEARIZED THEORY FOR SUPERCAVITATING HYDROFOILS OPERATING AT HIGH SPEEDS NEAR A FREE SURFACE

J. Auslaender

Open publisher page 7 citations

Abstract

Linearized cavity flow theory, in conjunction with a mapping technique, is used to develop general expressions for the characteristics of supercavitating or fully ventilated, two dimensional hydrofoils with prescribed pressure distributions, designed for operation near a free surface. It is assumed that the hydrofoils Are operating at zero cavitation number and that the Froude number - based on depth - is very large. The general expressions are used to derive the lift, cavity drag and shape of hydrofoils composed of 2-, 3-, and 5-term and constant pressure camber configurations, combined with angle of attack and quasi-parabolic thickness and designed for operation at specific depths. Examples of numerical results are given and the effect of foil strength is discussed and evaluated.

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What this paper is about

Linearized cavity flow theory, in conjunction with a mapping technique, is used to develop general expressions for the characteristics of supercavitating or fully ventilated, two dimensional hydrofoils with prescribed pressure distributions, designed for operation near a free surface. It is assumed that the hydrofoils Are operating at zero cavitation number and that the Froude number - based on depth - is very large. The general expressions are used to derive the lift, cavity drag and shape of hydrofoils composed of 2-, 3-, and 5-term and constant pressure camber configurations, combined with angle of attack and quasi-parabolic thickness and designed for operation at specific depths. Examples of numerical results are given and the effect of foil strength is discussed and evaluated.

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Available abstract

Linearized cavity flow theory, in conjunction with a mapping technique, is used to develop general expressions for the characteristics of supercavitating or fully ventilated, two dimensional hydrofoils with prescribed pressure distributions, designed for operation near a free surface. It is assumed that the hydrofoils Are operating at zero cavitation number and that the Froude number - based on depth - is very large. The general expressions are used to derive the lift, cavity drag and shape of hydrofoils composed of 2-, 3-, and 5-term and constant pressure camber configurations, combined with angle of attack and quasi-parabolic thickness and designed for operation at specific depths. Examples of numerical results are given and the effect of foil strength is discussed and evaluated.

Key concepts: Supercavitation, Free surface, Surface (topology), Marine engineering, Physics, Mechanics, Classical mechanics, Engineering

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