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Title: Numerical solutions of steady axisymmetric potential flows
Author: Doak, Alexander
ISNI:       0000 0004 8507 7823
Awarding Body: UCL (University College London)
Current Institution: University College London (University of London)
Date of Award: 2019
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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.
Supervisor: Vanden-Broeck, Jean-Marc Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available