Van Gurp–Palmen relations for long-chain branching from general rigid bead-rod theory

Empirically, we find that parametric plots of mechanical loss angle vs complex shear modulus may depend neither on temperature [M. van Gurp and J. Palmen, “Time-temperature superposition for polymeric blends,” Rheol. Bull. 67, 5–8 (1998)] nor on average molecular weight [S. Hatzikiriakos, “Long chai...

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Bibliographic Details
Published in:Physics of fluids (1994) 2020-03, Vol.32 (3)
Main Authors: Kanso, M. A., Giacomin, A. J.
Format: Article
Language:English
Subjects:
Chain branching
Fluid dynamics
Kinetic theory
Molecular chains
Physics
Polydispersity
Polyethylenes
Polymer blends
Rheological properties
Rheology
Shear flow
Shear modulus
Unsteady flow
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Summary:Empirically, we find that parametric plots of mechanical loss angle vs complex shear modulus may depend neither on temperature [M. van Gurp and J. Palmen, “Time-temperature superposition for polymeric blends,” Rheol. Bull. 67, 5–8 (1998)] nor on average molecular weight [S. Hatzikiriakos, “Long chain branching and polydispersity effects on the rheological properties of polyethylenes,” Polym. Eng. Sci. 40, 2279 (2000)]. Moreover, Hatzikiriakos (2000) discovered that, for fixed polydispersity, these van Gurp–Palmen curves descend 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 descents. 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.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0004513