In this work we will consider the steady and two-dimensional potential flow of an
incompressible fluid past a body without friction. Contrary to common experience,
we will show that it is possible to calculate the Lie point symmetries that will
leave the boundary value problem invariant. We are able to do this by solving
the determining equation for the Lie point symmetries subject to a side condition.
The side condition is a consequence of the boundary condition that occurs in the
boundary value problem. We will show that solutions of the boundary value problem
that were obtained previously using the method of conformal transformations are
also group invariant solutions of the boundary value problem. We will also show
that every group invariant solution of the boundary value problem can be used to
generate new group invariant solutions of the same boundary value problem.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/14013 |
| Date | 04 March 2014 |
| Creators | Pereira, Kevin Paul |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | application/pdf |
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