WAVEMAKING RESISTANCE OF A GROUP OF SUBMERGED SPHERES

The hydrodynamic problem associated with a group of submerged spheres moving with the same constant speed (or stationary spheres in a unifor m current) is analyzed based on the linearized velocity potential theo ry. There is no restriction on the submergences and radii of the spher es, or on distances between the spheres. The solution is obtained by u sing the multipole expansion method. The results are obtained for resi stances, lifts, and attraction forces between the spheres. The horizon tal forces are also compared with the far-field equations derived in t his paper and excellent agreement has been found.