We extend the multiple time scales formalism originally introduced for the Fokker–Planck equation by Wycoff and Balazs (Physica A 146 (1987) 175) to the case of simple shear flow. The analysis is carried out for small values of the Stokes number, St, a dimensionless measure of the inertia of a...

We present a Chapman–Enskog formalism to analyze the microstructure and rheology of Brownian suspensions subjected to external flows in the limit of weak particle inertia. The Fokker–Planck equation for the phase-space probability density in an inertial suspension is solved in a perturbative...