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Chemical Engineering

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Missouri University of Science and Technology

2015

Convective Constraint Release

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A Constitutive Model For Entangled Polymers Incorporating Binary Entanglement Pair Dynamics And A Configuration Dependent Friction Coefficient, David W. Mead, Nilanjana Banerjee, Joontaek Park Mar 2015

A Constitutive Model For Entangled Polymers Incorporating Binary Entanglement Pair Dynamics And A Configuration Dependent Friction Coefficient, David W. Mead, Nilanjana Banerjee, Joontaek Park

Chemical and Biochemical Engineering Faculty Research & Creative Works

Following recent work [e.g., J. Park et al., J. Rheol. 56, 1057-1082 (2012); T. Yaoita et al., Macromolecules 45, 2773-2782 (2012); and G. Ianniruberto et al., Macromolecules 45, 8058-8066 (2012)], we introduce the idea of a configuration dependent friction coefficient (CDFC) based on the relative orientation of Kuhn bonds of the test and surrounding matrix chains. We incorporate CDFC into the "toy" model of Mead et al. [Macromolecules 31, 7895-7914 (1998)] in a manner akin to Yaoita et al. [Nihon Reoroji Gakkaishi 42, 207-213 (2014)]. Additionally, we incorporate entanglement dynamics (ED) of discrete entanglement pairs into the new Mead-Banerjee-Park (MBP) …