As a continuation of the previous paper, dynamics of rigid and flexible polymer chains in viscous medium was reexamined in order to include the interaction of boundary and polymer chains. As models for rigid and flexible chains, rigid and linear elastic dumbbells were considered, which are essentially composed of two beads of frictional sources. The orientation distribution function was obtained by including anisotropic diffusivities of the bead due to the presence of the walls, and rheological properties were predicted give us the dependence on an additional parameter, ε₀h relative size of bead to the gap width, as expected. Dynamics of flexible polymer chains showed a similar dependence on the relative size of bead, but exhibited no dependence on the shear rate as the case of no boundaries.