From nearly homogeneous to core-peaking suspensions: insight in suspension pipe flows using MRI and DNS

Abstract

Magnetic Resonance Imaging (MRI) experiments have been performed in conjunction with Direct Numerical Simulations (DNS) to study neutrally buoyant particle-laden pipe flows. The flows are characterized by the suspension liquid Reynolds number ($Re_s$), based on the bulk liquid velocity and suspension viscosity obtained from Eilers' correlation, the bulk solid volume fraction ($\phi_b$) and the particle-to-pipe diameter ratio ($d/D$). Six different cases have been studied, each with a unique combination of $Re_s$ and $\phi$, while $d/D$ is kept constant at 0.058. These cases ensure that the comparison is performed across different flow regimes, each exhibiting characteristic behavior. In general, an excellent agreement is found between experiment and simulation for the average liquid velocity and solid volume fraction profiles. This study presents, for the first time, accurate and quantitative velocity and volume fraction profiles of semi-dilute up to dense suspension flows using both experimental and numerical methods. The discrepancy between the experiments and simulations can be explained by various reasons, including a difference in particle size distribution, uncertainty in experimental parameters used as an input for the DNS, slight variations in particle roughness and frictional collisions in the simulations. Eventually, three different flow regimes are identified. For low bulk solid volume fractions a drag increase is observed. For moderate $\phi_b$ the drag is found to decrease, due to particle accumulation at the pipe centre. For high volume fractions the drag is found to decrease further. For solid volume fractions of 0.4 a drag reduction higher than 25% is found. This drag reduction is linked to the strong viscosity gradient in the radial direction, where the relatively low viscosity near the pipe wall acts as a lubrication layer between the pipe wall and the dense core.