Complex viscosity of star-branched macromolecules from analytical general rigid bead-rod theory

Atomically thin flat sheets of carbon, called graphene, afford interesting opportunities to study the role of orientation in suspensions. In this work, we use general rigid bead-rod theory to arrive at general expressions from first principles for the complex viscosity of graphene suspensions. General rigid bead-rod theory relies entirely on suspension orientation to explain the elasticity of the liquid. We obtain analytical expressions for the complex viscosity of triangular and hexagonal graphene sheets of arbitrary size. We find good agreement with new complex viscosity measurements.

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Complex viscosity of graphene suspensions

Haddad

Aumnate

Saengow

et al. 2021

Physics of Fluids

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General rigid bead-rod theory with hydrodynamic interaction for polymer viscoelasticity

Pak¹,

Kim²,

Kanso

et al. 2022

Physics of Fluids

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General rigid bead-rod theory is actively used for connecting the complex viscosity of polymeric liquids to the structure of macromolecules. Using general rigid bead-rod theory, the rheological properties of polymeric liquids have been investigated theoretically and applied practically. In this paper, we include the hydrodynamic interaction of the nearest neighboring beads into general rigid bead-rod theory. By applying our new method, structure by structure, to backbone branched macromolecular configurations, we investigate the interplay of hydrodynamic interaction with the number of branches, branch length, and branch positions. We learn that the effect of hydrodynamic interaction is greater in branched macromolecules than in unbranched. In the future, this method will play an important role in the study of the rheological properties of polymeric liquids, wherever hydrodynamic interaction matters.

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Complex viscosity of poly[n]catenanes including olympiadanes

et al. 2022

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Chains of mechanically interlocking or intersecting organic rings, called poly[[Formula: see text]]catenanes, afford interesting opportunities to study the role of orientation in suspensions. We call poly[[Formula: see text]]catenanes olympiadanes. In this work, we use general rigid bead-rod theory to arrive at general expressions, from first principles, for the complex viscosity of poly[[Formula: see text]]catenane suspensions. General rigid bead-rod theory relies entirely on suspension orientation to explain the elasticity of the liquid. We obtain analytical expressions for the complex viscosity of poly[n]catenanes for both [Formula: see text] even and odd, for both mechanically interlocking and intersecting rings, and for identically sized rings. We restrict our analysis to evenly spaced poly[n]catenanes of orthogonal adjacency. We find that the parts of the complex viscosity for intersecting and interlocking rings, when made dimensionless with the polymer contribution to the zero-shear viscosity, match. We find good agreement with the available complex viscosity measurements for molten intersecting polystyrene poly[1,3]catenanes, but not so for poly[2]catenanes. We next calculate space filling equilibrium structures of these poly[[Formula: see text]]catenanes, only to discover that each polystyrene ring looks more like a bead. We find that, for these polystyrene poly[[Formula: see text]]catenanes and for good agreement with the available complex viscosity measurements, the shish-kebab theory suffices.

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Complex viscosity of star-branched macromolecules from analytical general rigid bead-rod theory

Abstract: This report is circulated to persons believed to have an active interest in the subject matter; it is intended to furnish rapid communication and to stimulate comment, including corrections of possible errors.

Cited by 8 publications

References 26 publications

Complex viscosity of graphene suspensions

Complex viscosity of graphene suspensions

General rigid bead-rod theory with hydrodynamic interaction for polymer viscoelasticity

Complex viscosity of poly[n]catenanes including olympiadanes

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