Mathematical Modelling of Deposition and Erosion of Particles in Pipes

Paebbl are interested in the effective transport of a particle-laden fluid through a system of pipes. This transport has the potential to be disrupted if the particles sediment on the walls of the pipe, leading to pipe clogging and blockage. Motivated by this, we investigate the gravity- driven deposition and shear-driven erosion of solid particles carried in a turbulent flow in a pipe. We develop and solve a mathematical model for particle transport in the bulk of the fluid, and particle behaviour near the pipe walls, including deposition and erosion. We also model the chemistry related to the effective capture of CO2, which is important for the quality of the product. Our analysis is a good entry point for future work with Paebbl. More broadly, our work has relevance in wider industrial applications in relation to safety and efficiency, as well as the economic viability of industrial-scale production.