  We consider a mean field hierarchy of models for large systems of interacting
ellipsoids suspended in an incompressible fluid. The models range from
microscopic to macroscopic mean field models. The microscopic model is based on
three ingredients. Starting from a Langevin type model for rigid body
interactions, we use a Jefferys type term to model the influence of the fluid
on the ellipsoids and a simplified interaction potential between the ellipsoids
to model the interaction between the ellipsoids. A mean field equation and
corresponding equations for the marginals of the distribution function are
derived and a numerical comparison between the different levels of the model
hierarchy is given. The results clearly justify the suitability of the proposed
approximations for the example cases under consideration.
