The exact solution of the Stokes equations for fluid motion around two spheres in contact is given in the most general flow situation. By use of this solution the behavior in shear flow of a doublet composed of two equal-sized spheres in contact is considered. Numerical calculation is carried out, and the motion of the doublet and the rate of energy dissipation are compared with the known case of spheroid.
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Shōichi Wakiya (1971) studied this question.