Numerical simulation of natural convection in an open-ended square cavity filled with porous medium by lattice Boltzmann method
✍ Scribed by A. Haghshenas; M. Rafati Nasr; M.H. Rahimian
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 959 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0735-1933
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✦ Synopsis
In the present work, natural convection in an open-ended square cavity packed with porous medium is simulated. The double-population approach is used to simulate hydrodynamic and thermal fields, and the Taylor series expansion and the least-squares-based lattice Boltzmann method has been implemented to extend the thermal model. The effect of a porous medium is taken into account by introducing the porosity into the equilibrium distribution function and adding a force term to the evolution equation. The Brinkman-Forchheimer equation, which includes the viscous and inertial terms, is applied to predict the heat transfer and fluid dynamics in the non-Darcy regime. The present model is validated with the previous literature. A comprehensive parametric study of natural convective flows is performed for various values of Rayleigh number and porosity. It is found that these two parameters have considerable influence on heat transfer.