TY - JOUR
T1 - The Prandtl number effect near the onset of Bénard convection in a porous medium
AU - Lage, J. L.
AU - Bejan, A.
AU - Georgiadis, J. G.
N1 - Funding Information:
The numerical work was conducted using the Cornell National Supercomputer Facility, a resource of the Center for Theory and Simulations in Science and Engineering (Cornell Theory Center), which receives major funding from the National Science Foundation and IBM Corporation, with additional support from New York State and members of the Corporate Research Institute. J. G. Georgiadis was supported by the National Science Foundation under a Research Initiation Award.
PY - 1992/12
Y1 - 1992/12
N2 - 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.
AB - 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.
KW - Bénard convection
KW - porous media
KW - Prandtl number effect
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U2 - 10.1016/0142-727X(92)90011-W
DO - 10.1016/0142-727X(92)90011-W
M3 - Article
AN - SCOPUS:0026970920
SN - 0142-727X
VL - 13
SP - 408
EP - 411
JO - International Journal of Heat and Fluid Flow
JF - International Journal of Heat and Fluid Flow
IS - 4
ER -