Viscosity, a crucial rheological property of fluids, plays an important role in understanding flow behavior and simulation of fluid flow. This thesis presents a novel data-driven viscosity model for shear-thinning, time-independent non-Newtonian fluids, particularly elastomeric compounds processed in polymer manufacturing. The work begins with a detailed rheological characterization based on high-pressure capillary rheometry, employing Bagley and Weissenberg–Rabinowitsch corrections to extract accurate shear stress and shear rate data. Classical viscosity models including the Carreau–Arrhenius formulation, were fitted using constrained nonlinear least squares to establish a physically meaningful baseline. The Carreau–Arrhenius model, due to its excellent performance across the experimental range and valid extrapolation into the Newtonian plateau, was selected for synthetic data generation .