The hydrodynamic problem associated with a group of submerged spheres moving with the same constant speed (or stationary spheres in a uniform current) is analyzed based on the linearized velocity potential theory. There is no restriction on the submergences and radii of the spheres, or on distances between the spheres. The solution is obtained by using the multipole expansion method. The results are obtained for resistances, lifts, and attraction forces between the spheres. The horizontal forces are also compared with the far-field equations derived in this paper and excellent agreement has been found.

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