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

Hydrodynamic interactions on a dilute solution of spherical beads, inmersed 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 interactions in a narrow channel are included. The polymer molecules are considered as Hookean spring-dumbells. The added stresses are used to calculate the slip velocity and the effective viscosity. Transversal migration in the channel for different beadf radius is found.