dc.contributor.advisor |
Maritz, R. (Dr.)
|
en |
dc.contributor.advisor |
Manale, J. (Dr.)
|
en |
dc.contributor.author |
Goufo, Emile Franc Doungmo
|
en |
dc.date.accessioned |
2009-08-25T10:54:44Z |
|
dc.date.available |
2009-08-25T10:54:44Z |
|
dc.date.issued |
2009-08-25T10:54:44Z |
|
dc.date.submitted |
2007-08-31 |
en |
dc.identifier.citation |
Goufo, Emile Franc Doungmo (2009) A mathematical explanation of the
transition between laminar and turbulent
flow in Newtonian fluids, using the Lie
groups and finite element methods, University of South Africa, Pretoria, <http://hdl.handle.net/10500/1596> |
en |
dc.identifier.uri |
http://hdl.handle.net/10500/1596 |
|
dc.description.abstract |
In this scientific work, we use two effective methods : Lie groups theory and the finite
element method, to explain why the transition from laminar flow to turbulence flow
depends on the variation of the Reynolds number. We restrict ourselves to the case
of incompressible viscous Newtonian fluid flows. Their governing equations, i.e. the
continuity and Navier-Stokes equations are established and investigated. Their solutions
are expressed explicitly thanks to Lie's theory. The stability theory, which leads to an
eigenvalue problem is used together with the finite element method, showing a way to
compute the critical Reynolds number, for which the transition to turbulence occurs.
The stationary flow is also studied and a finite element method, the Newton method, is
used to prove the stability of its convergence, which is guaranteed for small variations of
the Reynolds number. |
en |
dc.format.extent |
1 online resource (vi, [124] leaves) |
|
dc.language.iso |
en |
en |
dc.subject.ddc |
512.482 |
|
dc.subject.lcsh |
Lie groups |
|
dc.subject.lcsh |
Finite element method |
|
dc.subject.lcsh |
Newtonian fluids |
|
dc.title |
A mathematical explanation of the
transition between laminar and turbulent
flow in Newtonian fluids, using the Lie
groups and finite element methods |
en |
dc.type |
Dissertation |
en |
dc.description.department |
Mathematical Sciences |
en |
dc.description.degree |
M.Sc. (Applied Mathematics) |
en |