Cole-Cole Relation for Long-Chain Branching From General Rigid Bead-Rod Theory
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Authors
Coombs, Steacy J.
Kanso, Mona A.
Giacomin, A. Jeffrey
Date
2020-08
Type
technical report
Language
en
Keyword
Cole-Cole plot , General rigid bead-rod theory , Polymer orientation , Complex viscosity , Zero-shear viscosity , Limits of linear viscoelasticity , Branched polymers
Alternative Title
Abstract
Empirically, we find that parametric plots of the imaginary versus real parts of the complex viscosity may depend neither on temperature, nor on average molecular weight. Moreover, for fixed polydispersity, these Cole-Cole curves amplify both rightward and upward with long-chain branching content. In this paper, we find that general rigid bead-rod theory [O. Hassager, “Kinetic theory and rheology of bead-rod models for macromolecular solutions. II. Linear unsteady flow properties,” J. Chem. Phys. 60(10), 4001–4008 (1974)] can explain these rightward and upward amplifications. We explore the effects of branching along a straight chain in small-amplitude oscillatory shear flow. Specifically, we explore the number of branches, branch length, branch position and branch distribution.