Abstract

We consider hydrodynamic interactions between N rigid bodies of arbitrary shape immersed in an incompressible fluid. We study the generalized mobility matrix relating the translational and rotational velocities and the symmetric force dipole moments to the forces, the torques and the strain of an incident flow field. We show that the elements of the mobility matrix may be obtained as matrix elements of an operator related to the friction kernel. This allows a multiple scattering expansion of the mobility matrix.

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