POLYMER CONTRIBUTION TO THE THERMAL-CONDUCTIVITY AND VISCOSITY IN A DILUTE-SOLUTION (FRAENKEL DUMBBELL MODEL)

The phase-space kinetic theory for polymeric liquid mixtures is used t o obtain an expression for the polymer contribution to the thermal con ductivity of a nonflowing, dilute solution of polymers, where the poly mer molecules are modeled as Fraenkel dumbbells. This theory takes int o account three mechanisms for the energy transport: diffusion of kine tic energy (including the Ottinger-Petrillo term), diffusion of intram olecular energy, and the work done against the intramolecular forces. This paper is an extension of previous developments for the Hookean du mbbell model and the finitely-extensible dumbbell model. A comparison among the dumbbell results suggests that the thermal conductivity incr eases with chain stiffness. In addition, the zero-shear-rate viscosity and first normal-stress coefficient are also given for the Fraenkel d umbbell model.