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dc.contributor.advisorSneyd, Alfred
dc.contributor.advisorCraig, Ian J.D.
dc.contributor.authorShin, Sung Nam
dc.date.accessioned2022-06-02T03:01:40Z
dc.date.available2022-06-02T03:01:40Z
dc.date.issued2000
dc.identifier.urihttps://hdl.handle.net/10289/14888
dc.description.abstractIn aluminium reduction cells the intense magnetic fields and associated Lorentz forces drive steady flows in the cryolite and aluminium layers. Generally there is a discontinuity in velocity between the layers, which gives rise to a Kelvin-Helmholtz instability, and the study of this effect is the subject of the thesis. The role of the basic steady flow is focused in this analysis, while most previous MHD analyses neglect it and emphasise on the interaction between the interface wave and the electromagnetic field by the electromagnetic perturbation. The stationary magnetic field is considered important as a strong driving source for the steady velocity in our model. Steady velocity fields are studied in terms of a stream function and global stability criteria are discussed with disturbances. Non-linear evolution of flow is investigated to find a steady condition and show that steady flows are stable. A normal mode analysis is used to formulate wave evolution equations, which are integrated forwards in time. Also an improved treatment of electromagnetic damping is developed, which includes the effect of the induced electric field. Using a normal mode form of the steady-state current, magnetic field or flow, the scheme developed in this research is suitable for industrial application where these would be calculated numerically.
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherThe University of Waikato
dc.rightsAll items in Research Commons are provided for private study and research purposes and are protected by copyright with all rights reserved unless otherwise indicated.
dc.titleKelvin-Helmholtz instability in aluminium reduction cells
dc.typeThesis
thesis.degree.grantorThe University of Waikato
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy (PhD)
dc.date.updated2022-06-02T03:00:36Z
pubs.place-of-publicationHamilton, New Zealanden_NZ


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