STABILITY OF SOME SHEAR FLOWS FOR CONCENTRATED SUSPENSIONS

In this paper we investigate the stability of some viscometric flows f or a concentrated suspension model which allows for the effects of she ar-induced migration, including plane and circular Couette and Poiseul le flows, and unbounded and bounded torsional flows. In the bounded to rsional flow, where its radial outer boundary is assumed frictionless, an exact closeform solution is given. With the exception of torsional flows, we find that a limit point for all the steady-state solutions can exist for certain range in the parameter values. In all cases, dis turbances can persist for a long time, O (H-2/a(2)), where H is a dime nsion of the flow field, and a is the particles' radius.