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Abstract
A numerical study is performed of the buoyant convection in a rectangular enclosure. A heat-generating porous medium, saturated with a non-Newtonian fluid, fills the enclosure. The non-Newtonian fluid is assumed to follow the power-law rheological model. The flow is described by the Darcy equation for a porous medium. The vertical side walls of the enclosure are cooled at constant temperature T 0, and the horizontal walls are thermally insulated. The modified internal Rayleigh number Ra I∗ is large to render a boundary-layer-type flow. Comprehensive numerical solutions are acquired for the governing equations. Details of flow and thermal characteristics are portrayed for ranges of RaI∗ and the power-law index n. The behavior of the Nusselt number, based on the maximum temperature θmax in the enclosure, is delineated. By combining the numerical results, a correlation for the average Nusselt number is proposed. The validity of the assumption of local thermal equilibrium in the present configuration is discussed.
This work was supported by the NRL (2-578) project, South Korea.
