Flow of a thin ribbon of molten glass on a bath of molten tin

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dc.contributor.authorSangweni, Zinhle Brighty
dc.date.accessioned2017-01-19T06:11:12Z
dc.date.available2017-01-19T06:11:12Z
dc.date.issued2016
dc.descriptionA Dissertation submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, for the degree of Master of Science. School of Computer Science and Applied Mathematics. November 7, 2016.en_ZA
dc.description.abstractThe equations for the flow of a thin lm of molten glass on a bath of molten tin are extended to the case in which the viscosity of the molten glass depends on the temperature. The continuity equation for an incompressible fluid, the Navier-Stokes equation and the energy balance equation are written in the lubrication (thin fluid lm) approximation. The kinematic boundary condition and the boundary conditions for the normal and tangential stress and the normal heat flux are derived on the upper and lower surfaces of the glass ribbon. It is found for the lubrication approximation that only one equation is obtained for four unknowns which are the two horizontal velocity components, the absolute temperature difference and the thickness of the molten glass rib- bon. The remaining three equations are obtained by taking the calculation to the next order in the square of the ratio of the thickness to length of the glass ribbon. The kinematic edge condition and the edge conditions for the normal and tangential stress and the normal heat flux are derived. The four edge conditions and the boundary conditions at the inlet and outlet give the boundary conditions for the four partial differential equations. It is not the aim of the dissertation to solve the boundary value problem which has been derived, either numerically or analytically.en_ZA
dc.description.librarianLG2017en_ZA
dc.format.extentOnline resource (iv, 102 leaves)
dc.identifier.citationSangweni, Zinhle Brighty (2016) Flow of a thin ribbon of molten glass on a bath of molten tin, University of Witwatersrand, Johannesburg, <http://wiredspace.wits.ac.za/handle/10539/21677>
dc.identifier.urihttp://hdl.handle.net/10539/21677
dc.language.isoenen_ZA
dc.subject.lcshFluid dynamics
dc.subject.lcshLiquid metals
dc.subject.lcshViscosity
dc.subject.lcshNavier-Stokes equations
dc.titleFlow of a thin ribbon of molten glass on a bath of molten tinen_ZA
dc.typeThesisen_ZA
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