The Interaction of Rigid Cylinders in a Low Reynolds Number Pulsational Flow

The interaction of two rigid cylinders with parallel axes in a viscous liquid subjected to translational vibrations perpendicular to the plane containing the cylinder axes is considered in the framework of the low Reynolds number approximation. It is shown that the interaction type substantially depends on the distance between the cylinders. If this distance exceeds the viscous Stokes length, then the vibrations lead to the cylinder attraction. For the distances shorter than the Stokes length, the behaviour is opposite.