Rheologica Acta

, Volume 34, Issue 6, pp 586–600 | Cite as

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

  • Carlos Tiu
  • Tony Moussa
  • Pierre J. Carreau
Original Contribution


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.

Key words

Non-aqueous drag reducers steady and dynamic shear properties temperature and concentration effects 



shift factor


concentration; superscript* denotes critical concentration


activation energy


Fanning friction factor


storage modulus


loss modulus


Huggin's constant


Kramer's constant


constant in Mark-Houwink-Sakurada equation


molecular weight


gas constant


Reynolds number


Carreau time constant




power in Mark-Houwink-Sakurada equation

\(\dot \gamma \)

shear rate

\(\dot \gamma \)0

critical shear rate


loss tangent




zero-shear viscosity


polymer viscosity


solvent viscosity


complex viscosity


G″/ω, dynamic viscosity


G′/ω, elastic or storage “viscosity”


intrinsic viscosity


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Copyright information

© Steinkopff Verlag 1995

Authors and Affiliations

  • Carlos Tiu
    • 1
  • Tony Moussa
    • 1
  • Pierre J. Carreau
    • 2
  1. 1.Department of Chemical EngineeringMonash UniversityClaytonAustralia
  2. 2.Department of Chemical EngineeringEcole PolytechniqueMontrealCanada

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