Kinetic theory and rheology of dilute solutions of flexible macromolecules. I. Steady state behavior

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Abstract
For a dilute solution of macromolecules idealized as elastic dumbbells with Brownian motion, expressions are obtained giving the stress tensor in terms of rate‐of‐strain tensors for an arbitrary, steady, homogeneous flow. The rheological equations of state are fit into a retarded motion expansion. For dumbbells with arbitrary, nonlinear, elastic connectors, the result is given up through terms of second‐order. Stress tensor equations for two specific models, Hookean dumbbells and finitely extendible non‐linear elastic (FENE) dumbbells, are given up through terms of third order.

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