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Transient birefringence of polymer melts in intermittent shear flow: Model analysis of the non-linear viscoelastic behaviour

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Summary

A non-linear viscoelastic model has been used to interpret transient flow birefringence in changing shear flow for a polymer melt. It is shown how the new model is consistent with the basic hypothesis of the linear stress-optical law. Stress growth in shear flow and relaxation after different amounts of shearing are compared with the predictions of the non-linear model. A good agreement between experimental data and theoretical predictions is found.

Zusammenfassung

Ein nicht-lineares viskoelastisches Modell wird zur Interpretation der zeitabhängigen Strömungsdoppelbrechung verwendet, die bei wechselnder Scherung an einer Polymer-Schmelze zu beobachten ist. Es wird gezeigt, daß das neue Modell mit der Grundannahme eines linearen spannungsoptischen Gesetzes verträglich ist. Das Anwachsen der Spannung in der Scherströmung sowie ihre Relaxation in Abhängigkeit von der Größe der vorangegangenen Scherung wird mit den Voraussagen des nicht-linearen Modells verglichen. Es wird eine gute Übereinstimmung zwischen experimentellen Ergebnissen und theoretischen Voraussagen gefunden.

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Abbreviations

a :

adjustable parameter

b :

frequency shift factor in eq. [13]

C :

stress-optical coefficient

D :

symmetric part of the velocity gradient

E i :

elastic energy associated with thei-th element

G′(ω) :

shear storage modulus

G″(ω) :

shear loss modulus

G i :

elastic modulus of thei-th element

H(τ) :

relaxation time spectrum

n :

refractive index tensor

n I,n II :

principal refractive indices

P :

stress tensor

P 21 :

shear stress

P 11 –P 22 :

first normal stress difference

P 22 –P 33 :

second normal stress differences

S :

undetermined scalar function in eq. [1]

x i :

structural variable

\(\dot \gamma \) :

shear rate

Δn :

flow birefringence in the shear flow plane

τ :

relaxation time

τ i :

relaxation time of thei-th element

χ :

extinction angle

ω :

angular frequency

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Authors and Affiliations

  1. Istituto di Principi di Ingegneria Chimica, Università di Napoli, Piazzale Tecchio, I-80125, Naples, Italy

    B. de Cindio

  2. Istituto di Ingegneria Chimica, Università di Palermo, Viale delle Scienze, I-90100, Palermo, Italy

    D. Acierno

  3. Unilever Research, Vlaardingen, The Netherlands

    F. H. Gortemaker

  4. Laboratory of Physical Chemistry, Delft University of Technology, Julianalaan 136, Delft 8, The Netherlands

    H. Janeschitz-Kriegl

Authors
  1. B. de Cindio
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  2. D. Acierno
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  3. F. H. Gortemaker
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  4. H. Janeschitz-Kriegl
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de Cindio, B., Acierno, D., Gortemaker, F.H. et al. Transient birefringence of polymer melts in intermittent shear flow: Model analysis of the non-linear viscoelastic behaviour. Rheol Acta 16, 484–489 (1977). https://doi.org/10.1007/BF01525646

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  • DOI: https://doi.org/10.1007/BF01525646

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