Hydrodynamic Properties of a Plane-Polygonal Polymer, According to Kirkwood–Riseman Theory

Abstract

An exact solution of Kirkwood's formalism of transport processes for dilute polymer solutions has been found for the model of a planar rigid ring. Translational and rotatory diffusion tensors and the perturbation in the stress tensor were calculated. Non-Newtonian behavior was found in the intrinsic viscosity, the intrinsic rigidity, and in the existence of normal stresses. In addition to the elastic response at the principal frequency ω for oscillatory fluid flow, non-Newtonian elastic stresses appear at higher harmonics of ω.