Classical symmetry reductions of steady nonlinear one-dimensional heat transfer models

dc.contributor.advisorMoleofane, Kamogelo Jacobeth
dc.date.accessioned2015-02-04T09:39:23Z
dc.date.available2015-02-04T09:39:23Z
dc.date.issued2015-02-04
dc.descriptionA dissertation submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in fulfilment of requirements for the degree of Master of Science. August 8, 2014.
dc.description.abstractWe study the nonlinear models arising in heat transfer in extended surfaces (fins) and in solid slab (hot body). Here thermal conductivity, internal generation and heat transfer coefficient are temperature dependent. As such the models are rendered nonlinear. We employ Lie point symmetry techniques to analyse these models. Firstly we employ Lie point symmetry methods and determine the exact solutions for heat transfer in fins of spherical geometry. These solutions are compared with the solutions of heat transfer in fins of rectangular and radial geometries. Secondly, we consider models describing heat transfer in a hot body, for example, a plane wall. We then employ the preliminary group classification methods to determine the cases of the arbitrary function for which the principal Lie algebra is extended by one. Furthermore we the exact solutions.en_ZA
dc.identifier.urihttp://hdl.handle.net/10539/16865
dc.language.isoenen_ZA
dc.subject.lcshThermal conductivity.
dc.subject.lcshLie algebras.
dc.titleClassical symmetry reductions of steady nonlinear one-dimensional heat transfer modelsen_ZA
dc.typeThesisen_ZA
Files
Original bundle
Now showing 1 - 2 of 2
No Thumbnail Available
Name:
declaration.pdf
Size:
8.03 KB
Format:
Adobe Portable Document Format
No Thumbnail Available
Name:
MSc dissertation.pdf
Size:
501.91 KB
Format:
Adobe Portable Document Format
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Collections