On the consistent modeling of shear-thickening polymer solutions

During the past few decades, interest in understanding peculiar rheological behavior of shear-thickening fluids has increased due to their potential use various commercial applications. In such an endeavor, optimal design these is essential, which necessitates our in-depth properties from a modeling perspective. We herein introduce continuum model predict polymer solutions using non-equilibrium thermodynamics that guarantees, by construction, consistency with laws as extended handle systems. This made possible scalar structural variable characterizes formation shear-induced structure at sufficiently high shear rates, and conformation tensor deformation segments. The predicts exhibition for all steady flow material functions (shear viscosity normal stress coefficients), then followed shear-thinning if finite extensibility or anisotropic effects are considered. further document predictions line available data solutions.