Review of Non-Newtonian Mathematical Models for Rheological Characteristics of Viscoelastic Composites

Robenson Cherizol^1,2,3*, Mohini Sain^1,3, Jimi Tjong²

¹Centre for Biocomposites and Biomaterials Processing, Faculty of Forestry, University of Toronto, Toronto, Canada.
²Powertrain Engineering Research & Development Centre, Ford Motor Company, Windsor, Canada.
³Department of Chemical Engineering & Applied Chemistry, University of Toronto, Toronto, Canada.

DOI: 10.4236/gsc.2015.51002                

Abstract

This study presents an overview of viscoelastic characteristics of biocomposites derived of natural-fibre-reinforced thermoplastic polymers and predictive models have been presented in order to understand their rheological behavior. Various constitutive equations are reviewed for a better understanding of their applicability to polymer melt in determining the viscosity. The models to be investigated are the Giesekus-Leonov model, the Upper Convected Maxwell (UCM) model, the White-Metzner model, K-BKZ model, the Oldroyd-B model, and the Phan-Thien-Tanner models. The aforementioned models are the most powerful for predicting the rheological behavior of hybrid and green viscoelastic materials in the presence of high shear rate and in all dimensions. The Phan-Thien Tanner model, the Oldroyd-B model, and the Giesekus model can be used in various modes to fit the relaxation modulus accurately and to predict the shear thinning as well as shear thickening characteristics. The Phan-Thien Tanner, K-BKZ, Upper convected Maxwell, Oldroyd-B, and Giesekus models predicted the steady shear viscosity and the transient first normal stress coefficient better than the White-Metzner model for green-fibre-reinforced thermoplastic composites.

Keywords

Rheological Behavior, Mathematical Models, Viscoelastic Characteristics, Non-Newtonian Fluids, Shear Viscosity

Conflicts of Interest

The authors declare no conflicts of interest.

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