It is known that a sediment of settled particles can resuspend under t
he action of shear. In this paper, based on a mathematical model given
by Leighton and Acrivos [6], we study theoretically the viscous resus
pension of a sediment in a Couette channel with harmonically oscillati
ng walls. Numerical experiments reveal that the resuspension height an
d the particle volume concentration at the bottom of the channel depen
d on the frequency of the oscillation. While oscillation of the top wa
ll has nearly no influence on the sediment, a moving bottom wall cause
s the settled particles to completely resuspend if the frequency is la
rge enough.