eprintid: 10203826 rev_number: 17 eprint_status: archive userid: 699 dir: disk0/10/20/38/26 datestamp: 2025-02-28 10:19:58 lastmod: 2025-02-28 10:19:58 status_changed: 2025-02-28 10:19:58 type: thesis metadata_visibility: show sword_depositor: 699 creators_name: Liu, Qingsong title: Fluid-particle interactions in channel flows ispublished: unpub divisions: UCL divisions: B04 divisions: C06 divisions: F59 note: 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. abstract: 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. date: 2025-01-28 date_type: published oa_status: green full_text_type: other thesis_class: doctoral_open thesis_award: Ph.D language: eng primo: open primo_central: open_green verified: verified_manual elements_id: 2354459 lyricists_name: Liu, Qingsong lyricists_id: QLIUB33 actors_name: Liu, Qingsong actors_id: QLIUB33 actors_role: owner full_text_status: public pages: 191 institution: UCL (University College London) department: Mathematics thesis_type: Doctoral editors_name: Smith, Frank citation: Liu, Qingsong; (2025) Fluid-particle interactions in channel flows. Doctoral thesis (Ph.D), UCL (University College London). Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/10203826/7/Liu_10203826_Thesis_id_removed.pdf