Rheologica Acta

, Volume 49, Issue 11–12, pp 1207–1217 | Cite as

Capillary breakup extensional rheometry (CaBER) on semi-dilute and concentrated polyethyleneoxide (PEO) solutions

  • Oliver ArnoldsEmail author
  • Hans Buggisch
  • Dirk Sachsenheimer
  • Norbert Willenbacher
Original Contribution


Semi-dilute (\(c^\ast < c < c_{\rm e}\)) as well as concentrated, entangled (c > c e) solutions of PEO yield uniformly thinning, cylindrical filaments in capillary breakup extensional rheometry (CaBER) experiments. Up to c ≈ c e thinning can be characterized by a single elongational relaxation time λ E. Comparison with the longest shear relaxation time, λ S reveals that λ E/λ S decreases with increasing concentration or molecular weight according to (c[η]) − 4/3. This is attributed to the large deformation the solutions experience during filament thinning. A factorable integral model including a single relaxation time and a Soskey or Wagner damping function accounting for the large deformation in CaBER experiments is used to calculate λ E/λ S and provides good agreement with experimental results. Irrespective of concentration or molecular weight a beads-on-a-string structure occurs prior to filament breakup at a diameter ratio D/D 0 ≈ 0.01. This instability is supposed to be closely related to a flow-induced phase separation.


Elongational flow Uniaxial extension Relaxation time Polymer solution 



We thank F. Bossler for his help in sample preparation and performing shear and CaBER experiments. S. Pfeiffer and C. Woodson are thanked for programming the analysis software. We appreciate valuable discussions with Prof. M. Wagner, Dr. K. Niedzwiedz and Dr. B. Hochstein. Prof. Wagner drew our attention to the appropriate determination of the damping function parameters from the shear viscosity function.


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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • Oliver Arnolds
    • 1
    Email author
  • Hans Buggisch
    • 1
  • Dirk Sachsenheimer
    • 1
  • Norbert Willenbacher
    • 1
  1. 1.Institute for Mechanical Process Engineering and MechanicsKarlsruhe Institute of TechnologyKarlsruheGermany

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