Dispersion and deposition of ellipsoidal particles in a fully developed laminar pipe flow using non-creeping formulations for hydrodynamic forces and torques

• A computational model is developed to find dispersion and deposition of fibers.
• New non-creeping formulations for hydrodynamic forces and torques are employed.
• Dispersion and deposition of fibers are reported in laminar pipe flows.
• New correlation is presented for deposition of fibers in a laminar pipe flow.

In this study, dispersion and deposition of ellipsoidal particles in fully developed laminar pipe flows were analyzed using new correlations for hydrodynamic forces and torques for non-creeping flow conditions. In these simulations, flow Reynolds numbers up to 400 were considered and the fiber Reynolds numbers in the range of 0.01–6 were studied. The deposition efficiency of ellipsoidal fibers of different sizes and aspect ratios in laminar pipe flows were simulated for various flow and particle Reynolds numbers. A new empirical model for estimating fiber deposition efficiency for finite particle Reynolds numbers was developed. The simulation results were compared with earlier theoretical and numerical studies, as well as the new empirical equation, and good agreement was found. Particular attention was given to the effect of fiber size and aspect ratio on dispersion and deposition of particles under various flow conditions for fully developed laminar pipe flow.