Abstract

An auxiliary function playing a central role in evaluating shear-flow properties from the Doi—Edwards model is expanded for small and large shear deformations. The resulting expansions are used to derive asymptotic series for the steady shear viscosity at low and high shear rates. Although these series are divergent, accurate results for the viscosity can be extracted over almost the entire range of shear rates. Furthermore, the instantaneous recoil after steady shear flow predicted by the Doi—Edwards model at low shear rates is discussed. The most important possible application of the expansions presented here, however, stems from the fact that these expansions considerably facilitate the numerical evaluation of shear stresses in arbitrary, time-dependent shear flows.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call