HYDRODYNAMIC INTERACTIONS OF DILUTE POLYMER-SOLUTIONS UNDER SHEAR-FLOW IN A NARROW CHANNEL

Hydrodynamic interactions on dilute solutions of spherical beads under shear flow are calculated with the method of induced forces. The Navi er-Stokes equation is considered in the Stokes approximation. Hydrodyn amic interactions cause the drag to be anisotropic in space. Numerical solutions are obtained for the added stress, caused by polymeric mole cules in solution in a narrow channel under shear flow. The polymeric molecules are considered as Hookean spring-dumbbells. Slip velocity an d the effective viscosity are obtained taking different dumbbells' bea d radii. Transversal migration in the channel is obtained for differen t bead radii.