Enhanced Numerical Modeling of Non-Newtonian Particle-Laden Flows: Insights from the Carreau-Yasuda Model in Circular Tubes

Particle-laden flows are integral to numerous scientific and engineering disciplines, demanding a deep understanding of their rheological characteristics. Over time, various numerical methods have been developed, each offering differing levels of accuracy and analytical depth. In this study, we present a novel approach to modeling fully developed particle suspensions, aiming for simplicity and generality in solving for particle and velocity distributions. Specifically, we utilize the Carreau-Yasuda model to describe fluid viscosity as a demonstration of our proposed method. Furthermore, we investigate the impact of physical and rheological parameters on suspension flows, analyzing both particle volume fraction and velocity distributions. This research contributes to advancing the comprehension and predictive capabilities in handling complex particle-laden flows.