Precise Method to Estimate the Herschel-Bulkley Parameters from Pipe Rheometer Measurements

Accurate characterization of the rheological behavior non-Newtonian fluids is critical in a wide range industries as it governs process efficiency, safety, and end-product quality. When fluid may vary substantially over relatively short period time, desirable to measure its viscous properties on more continuous basis than relying spot measurements made with viscometer few samples. An attractive solution for inline pressure gradients while circulating at different bulk velocities circular pipe. Yet, extracting model parameters be challenging measurement uncertainty influence precision fitting. In this paper, we present method calibrate Herschel-Bulkley series differential variable using combination physics-based equations nonlinear optimization. Experimental validation conducted shear-thinning based aqueous solutions polymers results are compared those obtained scientific rheometer. It found that estimate contributes reducing prediction errors, especially low flow rates. With tested polymeric fluid, proportion difference between estimated rheometer ?24% yield stress, 0.26% consistency index, 0.30% index. Finally, computation requires limited resources, algorithm can implemented low-power devices such an embedded single-board computer or mobile device.