We derive stability properties and error estimates for the finite element method when used to approximate heat flow in a fluid enclosed by a solid medium. The coupled Navier Stokes system involves the Boussinesq equations in the fluid-filled cavity linked through an interface with heat conduction in
Finite element modelling of natural-convection-controlled change of phase
β Scribed by A. S. Usmani; R. W. Lewis; K. N. Seetharamu
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 860 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0271-2091
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β¦ Synopsis
Abstract
The problem of phase change in the presence of natural convection has been investigated. A model has been proposed based on the treatment of the release/absorption of latent heat as a heat source/sink in combination with the standard Galerkin finite element method with a primitive variable formulation on a fixed grid. To demonstrate the capabilities of the model, three cases of phase change of an aluminium alloy in the presence of natural convection arc considered, i.e. solidification, melting and combined solidification and melting. The solidification of water in a square cavity is modelled as another example, taking into account the density extremum, and the results are compared with a previously published work.
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