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Influence of the formation of associations of macromolecules on the rheo-optical properties of their dilute solutions. I. Theory

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Abstract

Assuming the formation of doublets in the flow according to a mass action law, the shear rate and the concentration dependence of the extinction angle, of the birefringence, and of the average coil expansion are calculated for dilute solutions of flexible macromolecules. It is shown that this reversible association process has a strong influence on the measurable parameters in a flow birefringence experiment.

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Abbreviations

c :

concentration (g/cm3)

h 2 :

mean square end-to-end distance at shear rate\(\dot \gamma \)

h 20 :

mean-square end-to-end distance at zero-shear rate

n :

refractive index of the solution (not very different from the solvent for a very dilute solution)

E :

mean coil expansion

K 0,K :

constant of the mass action law

M :

molecular weight

R G :

gas constant

T :

absolute temperature

α 1 – α2 :

optical anisotropy of the segment

β 0 :

Deborah number:\(\beta _0 = {\rm M} [\eta ]_0 \eta _s \dot \gamma /R_G T\)

β :

Deborah number:\(\beta = {\rm M} [\eta ] \eta _s \dot \gamma /R_G T\)

\(\dot \gamma \) :

shear rate

ε 0,ε :

reduced concentration

η s :

viscosity of the solvent

[η] 0 :

intrinsic viscosity at zero-shear rate

[η]:

intrinsic viscosity at shear rate\(\dot \gamma \)

χ :

extinction angle

N a :

Avodagro's number

Δ n :

magnitude of the birefringence

References

  1. Wolff C, Silberberg A, Priel Z, Layec-Raphalen MN (1979) Polymer 20:281

    Google Scholar 

  2. Wolff C (1982) Adv in Coll and Int Sci 17:263

    Google Scholar 

  3. a) Layec-Raphalen MN, Wolff C (1976) JNNFM 1:159; b) Layec-Raphalen MN, Wolff C (1980) in: Astarita G et al (eds); Rheology vol 2, Plenum Press, p 303

    Google Scholar 

  4. Dandridge A, Meeten GH, Layec-Raphalen MN, Wolff C (1979) Rheol Acta 18:275

    Google Scholar 

  5. Peterlin A (1963) J Chem Phys 39:224

    Google Scholar 

  6. Zimm BH (1956) J Chem Phys 24:2

    Google Scholar 

  7. Sadron Ch (1938) J Phys Radium 9:381

    Google Scholar 

  8. Layec-Raphalen MN (1985) Dr Sci Thesis, Brest

  9. Layec-Raphalen MN, Layec Y (1985) in: Gampert P (ed) Proc. IUTAM Symp “The influence of polymer additives on velocity and temperature fields” Essen 1984, Springer, pp 89–100

  10. Wolff C (1962) J Chim Phys. 63:1174

    Google Scholar 

  11. Tsvetkov VN (1964) in: Bacon K (ed) Newer Methods of Polymer Characterization. Interscience

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Authors and Affiliations

  1. Laboratoire de Physique et Mécanique Textiles, E.N.S.I.T.M., 11, rue Alfred Werner, F-68093, Mulhouse Cedex, France

    D. Dupuis & C. Wolff

Authors
  1. D. Dupuis
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  2. C. Wolff
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Dupuis, D., Wolff, C. Influence of the formation of associations of macromolecules on the rheo-optical properties of their dilute solutions. I. Theory. Rheol Acta 26, 358–366 (1987). https://doi.org/10.1007/BF01332254

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  • DOI: https://doi.org/10.1007/BF01332254

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