During the past few decades, the interest in understanding the peculiar rheological behavior of shear-thickening fluids has increased due to their potential use in various commercial applications. In such an endeavor, the optimal design of these fluids is essential, which necessitates our in-depth understanding of their properties from a modeling perspective. We herein introduce a continuum model to predict the rheological behavior of shear-thickening polymer solutions using non-equilibrium thermodynamics that guarantees, by construction, consistency with the laws of thermodynamics as extended to handle non-equilibrium systems. This is made possible by using a scalar structural variable that characterizes the formation of the shear-induced structure at sufficiently high shear rates, and a conformation tensor that characterizes the deformation of the polymer segments. The model predicts the exhibition of a shear-thickening behavior for all steady shear flow material functions (shear viscosity and normal stress coefficients), which is then followed by a shear-thinning behavior if finite extensibility or anisotropic effects are considered. We further document that these model predictions are in line with available shear viscosity rheological data for shear-thickening polymer solutions.
Skip Nav Destination
Research Article| June 24 2021
On the consistent modeling of shear-thickening polymer solutions
Pavlos S. Stephanou
Pavlos S. Stephanou a)
Department of Chemical Engineering, Cyprus University of Technology, P.O. Box 50329, 3603 Limassol,
Search for other works by this author on:
Pavlos S. Stephanou; On the consistent modeling of shear-thickening polymer solutions. Physics of Fluids 1 June 2021; 33 (6): 063107. https://doi.org/10.1063/5.0053604
Download citation file:
Don't already have an account? Register
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Could not validate captcha. Please try again.