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Numerical solutions of steady axisymmetric potential flows

Doak, Alexander; (2019) Numerical solutions of steady axisymmetric potential flows. Doctoral thesis (Ph.D), UCL (University College London). Green open access

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Abstract

This thesis is primarily concerned with steady axisymmetric potential flow problems. The flows are characterised by an interface between two immiscible fluids that is unknown a priori. This difficulty is overcome by mapping the flow domains to a potential space, where the interface is fixed onto an isoline of the Stoke’s streamfunction. A numerical finite difference scheme, attributed to Woods (Q. J. Mech. Appl. Maths, 1953) and Jeppson (J. Fluid Mech, 1970.), is then used. The thesis is organised as follows. In chapter 2, we discuss the basic equations used throughout the thesis. In chapter 3, we revisit the classical problem of two-dimensional plane bubbles. Novel two-dimensional solutions are also presented. In chapter 4, we compute axisymmetric Taylor bubbles, and discuss the solution selection procedure. Comparisons with the solution space of the two-dimensional Taylor bubble are made. In chapter 5, we compute travelling wave solutions on a ferrofluid jet. The surrounding fluid is non-magnetisable, and we compute solutions under both the assumption that this fluid is a passive gas, and that it is of equal density to that of the ferrofluid. In chapter 6, we discuss ways in which the models of this thesis could be extended in future work. Chapter 7 is a conclusion.

Type: Thesis (Doctoral)
Qualification: Ph.D
Title: Numerical solutions of steady axisymmetric potential flows
Event: UCL (University College London)
Open access status: An open access version is available from UCL Discovery
Language: English
Additional information: Copyright © The Author 2019. Original content in this thesis is licensed under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) Licence (https://creativecommons.org/licenses/by/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.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
URI: https://discovery.ucl.ac.uk/id/eprint/10085546
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