Abstract
Exact solutions are presented for the asymmetrical slow viscous flows of an infinite fluid caused by either the rotation of two spheres each of radius a with equal uniform angular velocities about diameters perpendicular to their line of centres or by the translation of the spheres with equal and opposite velocities along directions perpendicular to their line of centres. The technique of solution is applicable for any value of the distance 2d between the centres of the spheres. The asymptotic forms of the solutions are discussed for the cases when the ratio d/a is large or small.
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