4.7 Article

A pore network modelling approach to investigate the interplay between local and Darcy viscosities during the flow of shear-thinning fluids in porous media

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Summary: This study proposed an empirical equation based on Doolittle's free volume theory to describe the rheological properties of shear-thickening fluids, including relative free volume-dependent viscosity, shear stress-dependent viscosity, shear rate-dependent viscosity, and dimensionless Peclet number-dependent relative viscosity. The formulae have been validated against experimental data, and the results suggest that the predicted threshold material parameters of shear thickening fluids help evaluate the effect of physico-chemical conditions on their rheology. Additionally, flow simulations in a 2D porous medium showed bimodal distribution of pore-scale shear rate, shear viscosity, and velocity.

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