Polymer contribution to the thermal conductivity and viscosity in a dilute solution (Fraenkel Dumbbell model) |
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| Authors: | Dr. R. Byron Bird Charles F. Curtiss Kenneth J. Beers |
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| Affiliation: | (1) Department of Chemical Engineering and Rheology Research Center, University of Wisconsin-Madison, 53706 Madison, Wisconsin, USA;(2) Theoretical Chemistry Institute Department of Chemistry, University of Wisconsin-Madison, 53706 Madison, Wisconsin, USA;(3) Department of Chemical Engineering and U. W. Polymerization Reaction Engineering Laboratory (UWPREL), University of Wisconsin, 53706 Madison, Wisconsin, USA |
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| Abstract: | ![]()
The phase-space kinetic theory for polymeric liquid mixtures is used to obtain an expression for the polymer contribution to the thermal conductivity of a nonflowing, dilute solution of polymers, where the polymer molecules are modeled as Fraenkel dumbbells. This theory takes into account three mechanisms for the energy transport: diffusion of kinetic energy (including the Öttinger-Petrillo term), diffusion of intramolecular energy, and the work done against the intramolecular forces. This paper is an extension of previous developments for the Hookean dumbbell model and the finitely-extensible dumbbell model. A comparison among the dumbbell results suggests that the thermal conductivity increases with chain stiffness. In addition, the zero-shear-rate viscosity and first normal-stress coefficient are also given for the Fraenkel dumbbell model.Dedicated to Prof. John D. Ferry on the occasion of his 85th birthday. |
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| Keywords: | Transport phenomena thermal conduction bead-spring models polymer solutions viscosity normal stresses |
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