Pressure-driven flows of non-Newtonian fluids in narrow non-uniform geometries, such as contraction, expansion, and contraction-expansion configurations, are widely encountered in industrial processes, such as extrusion, and in various applications ranging from microfluidic extensional rheometers to devices for subcutaneous drug administration, in which the liquid may exhibit non-Newtonian behavior.

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We study how the complex rheological behavior of viscoelastic fluids affects the hydrodynamic characteristics of such flows. Our work focuses on predicting the development of elastic stresses and the resulting pressure drop behavior, while elucidating the physical mechanisms underlying these phenomena.

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