  We consider the motion of $N$ rigid bodies -- compact sets
$(\mathcal{S}^1_\varepsilon, \cdots, \mathcal{S}^N_\varepsilon )_{\varepsilon >
0}$ -- immersed in a viscous incompressible fluid
  contained in a domain in the Euclidean space $\mathbb{R}^d$, $d=2,3$.
  We show the fluid flow is not influenced by the presence of the infinitely
many bodies in the asymptotic limit $\varepsilon \to 0$ and
$N=N(\varepsilon)\rightarrow\infty$
  as soon as
  \[
  {\rm diam}[\mathcal{S}^i_\varepsilon ] \to 0 \ \mbox{as}\ \varepsilon \to 0
,\ i=1,\cdots, N(\varepsilon).
  \]
  The result depends solely on the geometry of the bodies and is independent of
their mass densities. Collisions are allowed and the initial data are arbitrary
with finite energy.
