Global sensitivity analysis for phosphate slurry flow in pipelines using generalized polynomial chaos

Slurry transportation via pipelines has garnered growing attention across various industries worldwide, thanks to its efficiency and environmental friendliness. It emerged as a vital tool for conveying significant volumes of raw phosphate material from extraction points industrial plants, where it is processed into fertilizers. Yet, optimal secure pipeline operations necessitate the careful calibration several physical parameters their interplay minimize energy losses. A thorough exploration flow pressure drop factors that influence constitutes crucial step in attaining this goal. The computational fluid dynamics techniques required simulate three-dimensional slurry pipe flows pose formidable challenges, primarily due high costs. Furthermore, numerical solutions are frequently subject uncertainties arising initial boundary conditions mathematical models employed. In study, we propose use polynomial chaos expansions estimate uncertainty inherent desired perform sensitivity analysis efficiency. framework, five considered random variables with given probability distribution over prescribed range investigation. then propagated through two-phase model statistically quantify effect on results. Our findings reveal variations velocity particle size play pivotal role determining Therefore, controlling these represents critical ensuring efficient safe pipelines.