Non-Newtonian fluid flows in narrow, wall-bounded geometries, such as contractions, radial flows between two disk-shaped parallel plates, or squeeze flows between two plates, are encountered in a wide range of industrial polymer processes and additive manufacturing techniques. It is well known that complex rheological characteristics of non-Newtonian fluids, such as shear thinning and viscoelasticity, may significantly change their hydrodynamic features compared with Newtonian flows even at low Reynolds numbers. Therefore, understanding the impact of fluid rheology on the hydrodynamic features of complex fluid flows plays a fundamental role in non-Newtonian fluid mechanics.

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We study how the shear‑thinning rheology of non‑Newtonian fluids influences flow behavior in wall‑bounded configurations. To provide fluid mechanical insight, we aim to develop reduced‑order predictive models amenable to asymptotic analysis, validate them using numerical simulations, and, when possible, compare their predictions with available experimental measurements. This combined approach advances our understanding of the underlying physical mechanisms governing these flows.

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