Abstract
Recent work arrived at expressions for the complex viscosity of a suspension of star-branched macromolecules [Coombs, Phys Fluids, 33, 093111 (2021)] using general rigid bead-rod theory without hydrodynamic interaction. In this work, we advance the theory by accounting for intramolecular interactions modeled with the interferences of Stokes flow solvent velocity profiles between adjacent beads. We derive the analytical expression for the complex viscosity of a suspension of four-arm star-branched macromolecules as a function of the number of beads in each arm NB and of the hydrodynamic interaction parameter A. We test our comprehensive theory against complex viscosity measurements of a cis-polybutadiene silicon-centered four-arm star suspension. We find the incorporation of hydrodynamic interaction improves the fit to complex viscosity measurements.
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