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In this paper, we consider $N$ clusters of pairs of particles sedimenting ina viscous fluid. The particles are assumed to be rigid spheres and inertia ofboth particles and fluid are neglected. The distance between each two particlesforming the cluster is comparable to their radii $\frac{1}{N}$ while theminimal distance between the pairs is of order $N^{-1/2}$. We show that, at themesoscopic level, the dynamics are modelled using a transport-Stokes equationdescribing the time evolution of the position $x$ and orientation $\xi$ of theclusters. Under the additional assumption that the minimal distance is of order$N^{-1/3}$, we investigate the case where the orientation of the cluster isinitially correlated to its position. In this case, a local existence anduniqueness result for the limit model is provided.

A model for suspension of clusters of particle pairs