%0 Thesis
%9 Doctoral
%A Liu, Qingsong
%B Mathematics
%D 2025
%E Smith, Frank
%F discovery:10203826
%I UCL (University College London)
%P 191
%T Fluid-particle interactions in channel flows
%U https://discovery.ucl.ac.uk/id/eprint/10203826/
%X This thesis describes a research study on mathematical modelling of solid particle  trajectories in a fluid-filled channel. Inspired by the idea that ice crystal particles  can clog sensors on aircraft wings, the original motivation for the research is to  avoid collisions between particles and channel walls. Therefore most of the twodimensional  solution testing stops at the moment when the particle collides with  the channel wall. The thesis, which combines numerical and analytical work, begins  with investigations of the trajectory of a single particle in a fixed shape channel  within which the oncoming inviscid fluid flow is uniform; here we find sustained oscillations  provide a possible way to keep the particle moving in the channel without  collision. Then we move on to the motion trajectories of a particle in an expanding  or contracting channel subject to various different channel shapes. In the subsequent  chapter we create a multi-particle motion model. Besides the fixed shape model or  the regular shape model, the motion trajectories of a particle in a flexible-walled  channel whose deformation is caused by the pressure effects are also considered  in this thesis. In the final two chapters, the motion trajectories of a particle in a  fluid within flow at low Reynolds number are addressed, followed by the overall  conclusion.
%Z Copyright © The Author 2025. 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.