The equations of motion for the mean-field Stokesian dynamics of hard
spheres, in the cases of homogeneous continuous shear, oscillatory she
ar, and unixial flow are presented and solved. Preliminary results of
simulations of such 'Stokesian spheres' under conditions of steady-sta
te simple homogeneous shear are also presented. These simulations have
verified numerically the formal equivalence between isokinetic non-eq
uilibrium molecular dynamics and Stokesian sphere dynamics.