Potential Flows of Dilute Polymer Solutions by Kramers' Method

Abstract

Kramers' method for describing the hydrodynamic behavior of a dilute solution of polymer molecules has been extended to include the “bead–spring” models. The connection between previous results of Kramers (for the bead–rod model), and of Rouse and Zimm (for the bead–spring model) is established. Finally, an expression is obtained for the elongational viscosity; it is found that the elongational viscosity increases with elongational rate, as was found earlier by Lodge (for a network theory) and by Roscoe (for a theory of suspensions).