On the Radiation Problem of Slender Ships with Forward Velocity

Abstract

A theoretical derivation is presented for the radiation problem of an oscillating slender ship, moving with forward velocity in calm water.
Assuming thatU=0 (ε^1/2), and that ω=0 (ε^-1/2+a) (0<a<1/2), the linearized boundary conditions are derived in the outer and inner regions respectively. The solutions of each region are matched to determine the unknown source strength and the homogeneous component in the inner solutions, according to the interpolation slender body theory.
Computations and measurements are carried out for the added mass and damping coefficients of a slender ship model, with cross sections defined by Lewis forms.
Comparing the results, it appears that the present method gives good predictions, including the contributions from forward velocity and the interactions between sections along the length.