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Steady and dynamic shear properties of non-aqueous drag-reducing polymer solutions

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Abstract

The steady and dynamic shear properties of two non-aqueous drag-reducers (a medium molecular weight polyisobutylene and a commercial organic drag-reducer) in kerosene solutions over a wide range of temperature and concentration were presented. The intrinsic and zero-shear viscosity results were used to identify the concentrate regimes of these solutions. A characteristic time constant λ0, which was based on the spring-bead model for dilute solutions, was employed as the scaling parameter for both steady-shear and dynamic data over a wide range of concentration and temperature. The inadequacy of the Graessley reduced-variable method in the dilute region was illustrated. The shear-thinning behaviour of these polymer solutions could be described by the Carreau model. The dynamic data followed the Zimm and Rouse-like behaviour in the low and high frequency limits. The Cox-Merz rule was obeyed in the low shear rate and frequency regions. The Carreau and the zero-frequency Maxwell time constants appeared to be related to λ0 by a constant factor over a wide range of polymer concentrations. The finding provides a method for extrapolating viscoelastic information into the drag reduction regime, and could be useful for interpretation of drag reduction results.

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Abbreviations

a T :

shift factor

c :

concentration; superscript* denotes critical concentration

E :

activation energy

f :

Fanning friction factor

G′ :

storage modulus

G″ :

loss modulus

k′ :

Huggin's constant

k″ :

Kramer's constant

K :

constant in Mark-Houwink-Sakurada equation

M :

molecular weight

R :

gas constant

Re:

Reynolds number

t c :

Carreau time constant

T :

temperature

α:

power in Mark-Houwink-Sakurada equation

\(\dot \gamma \) :

shear rate

\(\dot \gamma \) 0 :

critical shear rate

δ:

loss tangent

η:

viscosity

η0 :

zero-shear viscosity

η p :

polymer viscosity

η s :

solvent viscosity

η* :

complex viscosity

η′:

G″/ω, dynamic viscosity

η″:

G′/ω, elastic or storage “viscosity”

[η]:

intrinsic viscosity

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Tiu, C., Moussa, T. & Carreau, P.J. Steady and dynamic shear properties of non-aqueous drag-reducing polymer solutions. Rheola Acta 34, 586–600 (1995). https://doi.org/10.1007/BF00712318

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  • DOI: https://doi.org/10.1007/BF00712318

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