Abstract
The question of the approppropriate boundary conditions for a micropolar fluid is considered with respect to the representation of a suspension of solid particles in a Newtonian fluid. The case of a dilute suspension of rigid force-free spheres in slow viscous Couette flow parallel to a rigid plane wall is treated in an exact manner by classical continuum mechanics. The analogous micropolar fluid can be adjusted to reproduce particle rotations with good approximation, but the perturbation of the mean velocity of the micropolar fluid does not coincide with the perturbation of the mean velocity of the suspension.
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