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Theoretical molecular rheology of branched polymers in simple and complex flows: the pom-pom model

Bishko, G., McLeish, T.C.B., Harlen, O.G. and Larson, R.G. (1997) Theoretical molecular rheology of branched polymers in simple and complex flows: the pom-pom model. Physical Review Letters, 79 (12). pp. 2352-2355. ISSN 0031-9007

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Abstract

The nonlinear rheological constitutive equation of a class of multiply branched polymers is derived using the tube model. The molecular architecture may be thought of as two q-arm stars connected by a polymeric ''crossbar.'' The dynamics lead to a novel integrodifferential equation which exhibits extreme strain hardening in extension and strain softening in shear. Calculations of flow through a contraction predict that the degree of long-chain branching controls the growth of corner vortices, in agreement with experiments on commercial branched polymers.

Item Type: Article
Copyright, Publisher and Additional Information: © 1997 The American Physical Society. Reproduced in accordance with the publisher's self-archiving policy.
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds)
The University of Leeds > University of Leeds Research Centres and Institutes > Interdisciplinary Research Centre in Polymer Science and Technology (Leeds)
The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds)
Depositing User: Repository Officer
Date Deposited: 16 Aug 2006
Last Modified: 08 Feb 2013 17:02
Published Version: http://link.aps.org/abstract/PRL/v79/p2352
Status: Published
Publisher: American Physical Society
Refereed: Yes
Identification Number: 10.1103/PhysRevLett.79.2352
URI: http://eprints.whiterose.ac.uk/id/eprint/1503

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