Rheologica Acta

, Volume 47, Issue 8, pp 841–859 | Cite as

Effect of a controlled pre-deformation history on extensional viscosity of dilute polymer solutions

  • Shelley L. AnnaEmail author
  • Gareth H. McKinley
Original Contribution


We use a modified filament stretching rheometer to quantify the influence of a known controlled pre-shear history on the transient extensional viscosity of a dilute polymer solution. Two different types of pre-deformation are explored; both influence the subsequent stretching significantly, albeit in opposite ways. Small-amplitude oscillatory straining parallel to the direction of stretching enhances strain hardening and accelerates the tensile stress growth toward the steady-state value. Conversely, steady torsional shearing orthogonal to the direction of stretching retards strain hardening and results in a delayed approach to steady-state elongational flow. In both cases, the final steady-state extensional viscosity is the same as that observed with no pre-shearing. Calculations using a finitely extensible nonlinear elastic Peterlin dumbbell model qualitatively capture the trends observed in experiments, enabling interpretation of these observations in terms of the degree of polymer chain stretching imposed by the flow before extensional stretching.


Uniaxial extension Shear history Polymer solution Filament stretching 



This research was supported by NASA under Grants Nos. NAG3-1385 and NCC3-610. S.L.A. thanks the Fannie and John Hertz Foundation for supporting her graduate studies.


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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringCarnegie Mellon UniversityPittsburghUSA
  2. 2.Department of Mechanical EngineeringMassachusetts Institute of TechnologyCambridgeUSA

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