A Lifting-Line Analysis of a Cavitating Hydrofoil in Uniform Shear Flow

Abstract

An existing lifting-line theory for. a non-cavitating hydrofoil in uniform shear flow is applied to both partial- and super- cavitations in the same condition. A lifting-line equation is derived from an assumption holding two-dimensional at any spanwise position and from a solution of ordinary differential equation with variable coefficient. A method in the theory to obtain local cavity length, in which a solution of the lifting-line equation is used, is also applied. The hydrofoil for numerical examples is flat in section, rectangular in planform, and 5 degrees in attack angle. Effects of a main stream shear parameter, aspect ratio and cavitation number on local lift coefficients, total lift coefficients and induced drag coefficients for force characteristics, and on local cavity, length for cavity characteristics are clarified.