A New Viscosity Model for Non–Newtonian Fluids: Part I – Physical Characteristics of Its Mathematical Description

Abstract

This research introduces a numerical approach for constructing a viscosity model, utilizing the power law model to illustrate the behavior of shear–thinning fluids in relation to fluid flow parameters. The developed viscosity model was integrated into a Computational Fluid Dynamics (CFD) tool and its performance was assessed by comparing predictions with experimental data from literature, as well as with various viscosity models such as power law, Sisko, Cross power law, and Bird–Carreau viscosity models. The results, along with the additional correlation obtained from a 100:1 planar channel flow simulation, demonstrated stability and efficiency.