Wavemaking Resistance on a Submerged Sphere in a Channel

Abstract

The hydrodynamic problem of a submerged sphere moving in a channel is analyzed based on the velocity potential theory. The solution is obtained by using the multipole expansion which satisfies the boundary conditions on the free surface, at infinity, and on the sidewalls. Numerical results are obtained for the resistance and lift on the sphere, and for the attraction force by the sidewall. Results are also provided for the free-surface waves generated by the sphere.