Application of slender body theory in ship hydrodynamics at high-Froude number

Abstract

The slender body theory utilizing the method of inner and outer expansions is applied to evaluate the yawing force and moment on a slender ship hull at high-Froude number. The theory is developed for hulls of arbitrary cross-section, and a Greens' function method is outlined for solving the inner problem for hulls of arbitary section. The theory is applied to a slender cylindrical hull, and the potential is represented in the inner region by a multipole expansion. Closed form results are obtained for the yawing force and moment for the cylindrical hull. (Author)