%0 Thesis %9 Doctoral %A Jolley, Ellen Mary %B Mathematics %D 2024 %F discovery:10191248 %I UCL (University College London) %P 138 %T Fluid-body interactions near a solid surface %U https://discovery.ucl.ac.uk/id/eprint/10191248/ %X Aircraft icing is a phenomenon in which ice particles from the atmosphere adhere to the surfaces of aircraft, deforming the aerodynamic shape and degrading performance. These ice particles undergo complex motions under the high-speed air flow near the surface (possibly including a boundary layer). Mathematical models could provide accurate predictions and insights to aid the design of new icing protection systems and safety tests. In this thesis, I have therefore developed mathematical models for particles moving in high-Reynolds number flow near a surface. Various scenarios are considered, including a particle moving within an air boundary layer, firstly in the middle boundary layer such that the flow is inviscid, and then later in the lower boundary layer with viscous-inviscid interaction. Aircraft may also become coated in a layer of water due to impact from droplets in the atmosphere, and so I develop models for particles interacting with water on the surface, including sinking and skimming on a water layer and a particle submerged in water. Mathematical analyses and computation are used in tandem here. %Z Copyright © The Author 2024. Original content in this thesis is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) Licence (https://creativecommons.org/licenses/by-nc/4.0/). Any third-party copyright material present remains the property of its respective owner(s) and is licensed under its existing terms. Access may initially be restricted at the author’s request.