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June 1, 2026Advances in Polymer Technology0 citationsOpen Access

Validation of a Novel Self‐Consistent Mean‐Field Approach and Corresponding Equation to Describe the Concentration Dependence of the Viscosity of Polymer Solutions

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KAKanan AliyevDSDirk W. Schubert

Key Points

  • The aim is to validate a novel equation relating viscosity to concentration and intrinsic viscosity in polymer solutions, particularly focusing on the exponent of 3.
  • Reanalyzed extensive literature data on polymer solutions' viscosity.
  • Fitted a novel equation to the viscosity data.
  • Utilized digitization tools to extract older data from publication graphs.
  • Confirmed the predicted exponent of 3 for small concentrations in polymer solutions.
  • Established that the novel equation effectively describes viscosity across various concentration regimes.

Abstract

Polymer composites and polymer solutions are extensively studied in polymer science. For polymer solutions, the viscosity is a key property relevant for many applications, where the intrinsic viscosity plays an important role. A recent self‐consistent theoretical description revealed a novel equation relating solution viscosity to concentration and intrinsic viscosity together with characteristic scaling exponents, depending on the concentration regimes. In particular, for small concentrations, an exponent of 3 is predicted. The focus of this work is to challenge this novel description, in particular, the exponent 3. Therefore, a huge amount of data from the literature is reanalyzed, and a novel equation is fitted to the data. Some older data are only accessible from graphs given in the publications; nevertheless, a digitization tool was applied to access these data for analyzing.

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Cite This Study

Aliyev et al. (2026) studied this question.

synapsesocial.com/papers/6a1d236002fbce9130639050https://doi.org/10.1155/adv/3374428
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