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The linear hydrodynamics of a stationary suspension of randomly distributed, nondilute spheres in an incompressible fluid is rigorously studied with the aid of a scaling expansion method. A space-time coarse graining is carried out in a manner consistent with an expansion in sphere concentration c to obtain a linear macroscopic transport equation, which is local in time but nonlocal in space, to order c². Fluctuations around the macroscopic motion are also investigated and are shown to be small for dimension $d>2$.
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Tokuyama et al. (1982) studied this question.
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