Double reduction of partial differential equations with applications to laminar jets and wakes
| dc.contributor.author | Kokela, Lady Nomvula | |
| dc.date.accessioned | 2016-01-19T07:13:37Z | |
| dc.date.available | 2016-01-19T07:13:37Z | |
| dc.date.issued | 2016 | |
| dc.description | A dissertation submitted to the Faculty of Science, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, in fulfilment of requirements for the degree of Master of Science. Johannesburg, 2015. | |
| dc.description.abstract | Invariant solutions for two-dimensional free and wall jets are derived by consid- ering the Lie point symmetry associated with the appropriate conserved vectors of Prandtl's boundary layer equations for the jets. For the two-dimensional jets we also consider the comparison, advantages and disadvantages between the standard method that uses a linear combination of all the Lie point symme- tries of Prandtl's boundary layer equations to generate the invariant solution with the new method explored in this paper which uses the Lie point sym- metry associated with a conserved vector to generate the invariant solution. Invariant solutions for two-dimensional classical and self-propelled wakes are also derived by considering the Lie point symmetry associated with the appro- priate conserved vectors of Prandtl's boundary layer equations for the wakes. We also consider and discuss the standard method that uses a linear combi- nation of all the Lie point symmetry of Prandtl's boundary layer equations to generate the invariant solutions for the classical and self-propelled wakes. | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/10539/19321 | |
| dc.language.iso | en | en_ZA |
| dc.subject.lcsh | Differential equations, Partial. | |
| dc.subject.lcsh | Wakes (Aerodynamics) | |
| dc.subject.lcsh | Jets. | |
| dc.title | Double reduction of partial differential equations with applications to laminar jets and wakes | en_ZA |
| dc.type | Thesis | en_ZA |