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Turbulence and vortices in classical and quantum fluids
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Griffin, Adam (2019) Turbulence and vortices in classical and quantum fluids. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b3494488~S15
Abstract
We present studies of different aspects of turbulence. One main focus is a superfluid turbulence. We focus on how quantised vortices interact with external potentials which could model experimental apparatus. In one chapter, we discuss the deflection of vortices and their overall interaction with vortex like impurities. Following this, the introduction of imbalance and a barrier is explored in the context of how it can be used to control regimes of turbulence in possible experiments. Here, the discussion focusses on how certain by-products of turbulence affect the dynamics of the vortices. In another related work, the affect of particles (which is common in superfluid experiments for measuring vortex position) on the motion of vortices in simple cases is explored. Although some of the systems discussed here do not directly exhibit turbulence, they are models of key components which are present in turbulent flows. Studying such structures is often referred to as a ‘bottom up’ approach to turbulence. Finally, we study the affect of viscosity on stationary solutions of a diffusion approximation of the Navier-Stokes equation.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Library of Congress Subject Headings (LCSH): | Turbulence -- Mathematical models, Vortex-motion -- Mathematical models, Mechanics, Quantum theory | ||||
Official Date: | September 2019 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Nazarenko, Sergey | ||||
Format of File: | |||||
Extent: | iv, 153 leaves : illustrations (some colour) | ||||
Language: | eng |
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