NDLI: Shear thinning of unentangled flexible polymer liquids

Content Provider	Springer Nature Link
Author	Colby, R. H. Boris, D. C. Krause, W. E. Dou, S.
Copyright Year	2006
Abstract	Experimentally, it is well-known that the Rouse model gives a superb description of the concentration dependence of terminal relaxation time, terminal modulus, zero shear-rate viscosity, and diffusion coefficient of semidilute unentangled polyelectrolyte solutions. However, such solutions exhibit shear thinning of the apparent viscosity when the shear rate exceeds the reciprocal of the terminal relaxation time, which is not immediately anticipated by the Rouse model. We present a simple calculation based on the Rouse model for the dependence of the apparent viscosity η on shear rate $\dot{\gamma}$ in steady shear. The derived power law $\eta \sim \dot{\gamma}^{-1/2}$ applies to nearly mono- disperse unentangled polymer melts and polymer solutions that have a high enough concentration so that chains overlap, but have low enough concentration that they are not entangled. We find that the predicted power law agrees nicely with data on unentangled polymer melts and semidilute unentangled solutions of polyelectrolytes. The exponent 1/2 means the empirical Cox-Merz rule applies to Rouse chains. This potentially has far-reaching consequences for entangled polymer melts, for which motion of a Rouse chain confined to a tube describes dynamics.
Starting Page	569
Ending Page	575
Page Count	7
File Format	PDF
ISSN	00354511
Journal	Rheologica Acta
Volume Number	46
Issue Number	5
e-ISSN	14351528
Language	English
Publisher	Springer-Verlag
Publisher Date	2006-11-30
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Shear flow Cox–Merz rule Polymer solution Rouse theory Apparent viscosity Polymer melt Food Science Soft Matter, Complex Fluids Mechanical Engineering Polymer Sciences Characterization and Evaluation of Materials
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Condensed Matter Physics Materials Science

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