Ma. Valdez et J. Tejero, HYDRODYNAMIC INTERACTIONS OF DILUTE POLYMER-SOLUTIONS UNDER SHEAR-FLOW IN A NARROW CHANNEL, Rheologica Acta, 33(2), 1994, pp. 125-135
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.