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.
Authors
- Matthew D. Shirley (ORCID: https://orcid.org/0000-0003-0855-9274)
- Clare R. Rees-Zimmerman (ORCID: https://orcid.org/0000-0003-3948-7162)
- Scott R. Harris (ORCID: https://orcid.org/0009-0005-3002-0701)
- Thuy Duong Dang (ORCID: https://orcid.org/0000-0002-1345-2642)
- Brady Metherall (ORCID: https://orcid.org/0000-0003-3197-4345)
- Edwina Yeo (ORCID: https://orcid.org/0000-0003-2635-4985)
- Jesse Taylor-West (ORCID: https://orcid.org/0000-0002-7511-1894)
- John C. Meyer (ORCID: https://orcid.org/0000-0003-0708-1088)
- Philip Pearce (ORCID: https://orcid.org/0000-0001-5788-3826)
- Kieran Quaine (ORCID: https://orcid.org/0000-0003-3882-9503)
- C. Sean Bohun (ORCID: https://orcid.org/0000-0002-6827-1822)
- Cameron L. Hall (ORCID: https://orcid.org/0000-0003-3370-6459)
- Emmanuel Lwele (ORCID: https://orcid.org/0009-0004-3167-8647)
- Alex Trenam
- Jake Bowhay
Institutions
- University of Bristol (GB)
- Ontario Tech University (CA)
- University of Oxford (GB)
- Universidad San Pablo (MX)
- Abiola Ajimobi Technical University Ibadan (NG)
- University College London (GB)
- Sheffield Hallam University (GB)
- University of Birmingham (GB)
Publication Details
- Published
- 2025-12-18
- DOI
- https://doi.org/10.33774/coe-2025-95gfz
- Primary Topic
- Particle Dynamics in Fluid Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- UK Research and Innovation
- International Centre for Mathematical Sciences
- University of Bristol
- Engineering and Physical Sciences Research Council
- Division of Mathematical Sciences