PARAMETRIC INVESTIGATIONS ON THE DOUBLE DIFFUSIVE CONVECTION IN TRIANGULAR CAVITY
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 20, No. 4
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2007.12419 - 432 (14 pages)
- 0
Double-di??usive convection inside a triangular porous cavity is studied numerically. Galerkin ¯nite element method is adopted to derive the discrete form of the governing di??erential equations. The ¯rst-order backward Euler scheme is used for tem-poral discretization with the second-order Adams-Bashforth scheme for the convection terms in the energy and species conservation equations. The Boussinesq-Oberbeck approximation is used to cal-culate the density dependence on the temperature and concentra-tion ¯elds. A parametric study is performed with the Lewis num-ber, the Rayleigh number, the buoyancy ratio, and the shape of the triangle. The e??ect of gravity orientation is considered also. Results obtained include the °ow, temperature, and concentration ¯elds. The di??erences induced by varying physical parameters are analyzed and discussed. It is found that the heat transfer rate is sensitive to the shape of the triangles. For the given geometries, buoyancy ratio and Rayleigh numbers are the dominating parame- ters controlling the heat transfer.
1. Introduction
2. Problem description and mathematical formulation
3. Numerical procedure
4. Results and discussions
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