The finite element method is used to predict numerically steady state, two dimensional laminar and turbulent flows. The governing equations are solved by the finite element method using Galerkin weighting functions, with velocity and pressure as dependent variables. Laminar separating, recirculating flow over a backward facing step in a two dimensional channel is investigated by solution of the Navier-Stokes and continuity equations. The effect of upwind weighting functions is examined. Turbulent flow is analysed using both one (k-1) and two (k-e) equation models to depict the eddy viscosity. The length scale for a one equation model is specified as an algebraic function of position. Wall functions are utilised to define boundary conditions on the variables at the mesh edge, which is slightly displaced from the flow boundary. Both turbulence models are used to predict recirculating flow over a backward facing step, and also the flow within the central subchannel of a rod bundle of triangular cross section. The analysis is then extended to include temperature and heat transfer predictions in turbulent forced convective flows. Results obtained are compared, when possible, with existing solutions obtained by other numerical techniques and with experimental data.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:639177 |
| Date | January 1982 |
| Creators | Thomas, C. E. |
| Publisher | Swansea University |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
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