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

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Abstract

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.

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Acknowledgements

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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Authors and Affiliations

  1. Institute for Mechanical Process Engineering and Mechanics, Karlsruhe Institute of Technology, Gotthard-Franz-Str. 3, 76131, Karlsruhe, Germany

    Oliver Arnolds, Hans Buggisch, Dirk Sachsenheimer & Norbert Willenbacher

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  1. Oliver Arnolds
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  2. Hans Buggisch
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  3. Dirk Sachsenheimer
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  4. Norbert Willenbacher
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Correspondence to Oliver Arnolds.

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Arnolds, O., Buggisch, H., Sachsenheimer, D. et al. Capillary breakup extensional rheometry (CaBER) on semi-dilute and concentrated polyethyleneoxide (PEO) solutions. Rheol Acta 49, 1207–1217 (2010). https://doi.org/10.1007/s00397-010-0500-7

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  • DOI: https://doi.org/10.1007/s00397-010-0500-7

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