Two-species models for the rheology of associative polymer solutions: Derivation from nonequilibrium thermodynamics
- Journal Article
We show how two-species models, already proposed for the rheology of networks of associative polymer solutions, can be derived from nonequilibrium thermodynamics using the generalized bracket formalism. The two species refer to bridges and (temporary) dangling chains, both of which are represented as dumbbells. Creation and destruction of bridges in our model are accommodated self-consistently by assuming a two-way reaction characterized by a forward and a reverse rate constant. Although the final set of evolution equations for the microstructure of the two species and the expression for the stress tensor are similar to those of earlier models based on network kinetic theory, nonequilibrium thermodynamics sets specific constraints on the form of the attachment/detachment rates appearing in these equations, which, in some cases, deviate significantly from previously reported ones. We also carry out a detailed analysis demonstrating the capability of the new model to describe various sets of rheological data for solutions of associative polymers. Show more
Journal / seriesJournal of Rheology
Pages / Article No.
PublisherSociety of Rheology
SubjectNonequilibrium thermodynamics; Free energy; Telechelic polymers; Associative polymers; Micelles; Rheology
Organisational unit03359 - Oettinger, Christian / Oettinger, Christian
03510 - Pratsinis, Sotiris E. / Pratsinis, Sotiris E.
721027 - Formulations and Computational Engineering (SBFI)
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