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

Hydrodynamic interactions on a dilute solution of spherical beads, inm ersed in a Newtonian solvent in steady shear flow, are calculated with the method of induced forces. These interactions cause the drag to be anisotropic in space. Numerical solutions are obtained for the added stress, caused by the polymer molecules, where hydrodynamic interactio ns in a narrow channel are included. The polymer molecules are conside red as Hookean spring-dumbells. The added stresses are used to calcula te the slip velocity and the effective viscosity. Transversal migratio n in the channel for different beadf radius is found.