Lifting-Line Theory of a Supercavitating Hydrofoil in Both Vertical and Spanwise Shear Flow.

Abstract

A supercavitating hydrofoil placed in vertical and spanwise shear flow between two parallel planes is approximated to a lifting-line. By introducing two kinds of separation of variables into both a fundamental solution and a main stream velocity distribution, an equation of motion with respect to disturbance pressure is reduced to two ordinary differential equations. The lifting-line equation is obtained from up-wash velocity distribution along a lifting-line derived from solutions of ordinary differential equations. Hydrodynamic force characteristics are expressed and calculated by series summation, whose spectra are solutions of the lifting-line equation, and then cavity distributions are obtained by applying the method proposed by the authors.