Some theoretical aspects of fibre suspension flows

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dc.contributor.advisorReddy, Dayaen_ZA
dc.contributor.authorDiatezua, Jacquie Kiangebenien_ZA
dc.date.accessioned2014-11-18T17:04:11Z
dc.date.available2014-11-18T17:04:11Z
dc.date.issued1999en_ZA
dc.descriptionBibliography: leaves 77-82.en_ZA
dc.description.abstractThis thesis is concerned with properties of equations governing fibre suspensions. Of particular interest is the extent to which solutions, and their properties, depend on the type of closure used. For this purpose two closure rules are investigated: the linear and the quadratic closures. We show that the equations are consistent with the second law of thermodynamics, or dissipation inequality, when the quadratic closure is used. When the linear closure is used, a sufficient condition for consistency is that the particle number Np satisfies Np ≤ 35/2. Likewise, flows are found to be monotonically stable for the quadratic closure, and for the linear closure with Np ≤ 35/2. The second part of the thesis is concerned with one-dimensional problems, and their solution by finite element. The hyperbolic nature of the evolution equation for the orientation tensor necessitates a modification of the standard Galerkin-based approach. We investigate the conditions under which convergence is obtained, for unidirectional flows, with the use of the Streamline Upwind (SU) method, and the Streamline upwind Petrov/Galerkin (SUPG) method.en_ZA
dc.identifier.apacitationDiatezua, J. K. (1999). <i>Some theoretical aspects of fibre suspension flows</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/9707en_ZA
dc.identifier.chicagocitationDiatezua, Jacquie Kiangebeni. <i>"Some theoretical aspects of fibre suspension flows."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1999. http://hdl.handle.net/11427/9707en_ZA
dc.identifier.citationDiatezua, J. 1999. Some theoretical aspects of fibre suspension flows. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Diatezua, Jacquie Kiangebeni AB - This thesis is concerned with properties of equations governing fibre suspensions. Of particular interest is the extent to which solutions, and their properties, depend on the type of closure used. For this purpose two closure rules are investigated: the linear and the quadratic closures. We show that the equations are consistent with the second law of thermodynamics, or dissipation inequality, when the quadratic closure is used. When the linear closure is used, a sufficient condition for consistency is that the particle number Np satisfies Np ≤ 35/2. Likewise, flows are found to be monotonically stable for the quadratic closure, and for the linear closure with Np ≤ 35/2. The second part of the thesis is concerned with one-dimensional problems, and their solution by finite element. The hyperbolic nature of the evolution equation for the orientation tensor necessitates a modification of the standard Galerkin-based approach. We investigate the conditions under which convergence is obtained, for unidirectional flows, with the use of the Streamline Upwind (SU) method, and the Streamline upwind Petrov/Galerkin (SUPG) method. DA - 1999 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1999 T1 - Some theoretical aspects of fibre suspension flows TI - Some theoretical aspects of fibre suspension flows UR - http://hdl.handle.net/11427/9707 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/9707
dc.identifier.vancouvercitationDiatezua JK. Some theoretical aspects of fibre suspension flows. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1999 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/9707en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherApplied Mathematicsen_ZA
dc.titleSome theoretical aspects of fibre suspension flowsen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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