Abstract
This note focuses on Kladias and Prasad's claim that the critical Rayleigh number for the onset of Bénard convection in an infinite horizontal porous layer increases as the Prandtl number decreases, and argues that the critical Rayleigh number (Rac) depends only on the Darcy number (Da), as linear stability analysis indicates. The two-dimensional steady-convection problem is then solved numerically to document the convection heat transfer effect of the Rayleigh number, Darcy number, Prandtl number, and porosity. The note concludes with an empirical correlation for the overall Nusselt number, which shows the effect of Prandtl number at above-critical Rayleigh numbers. The correlation is consistent with the corresponding correlation known for Bénard convection in a pure fluid.
Original language | English (US) |
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Pages (from-to) | 408-411 |
Number of pages | 4 |
Journal | International Journal of Heat and Fluid Flow |
Volume | 13 |
Issue number | 4 |
DOIs | |
State | Published - Dec 1992 |
Externally published | Yes |
Keywords
- Bénard convection
- porous media
- Prandtl number effect
ASJC Scopus subject areas
- Fluid Flow and Transfer Processes
- Mechanical Engineering