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The Prandtl number effect near the onset of Bénard convection in a porous medium

Publication ,  Journal Article
Lage, JL; Bejan, A; Georgiadis, JG
Published in: International Journal of Heat and Fluid Flow
January 1, 1992

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. © 1992.

Duke Scholars

Published In

International Journal of Heat and Fluid Flow

DOI

ISSN

0142-727X

Publication Date

January 1, 1992

Volume

13

Issue

4

Start / End Page

408 / 411

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4012 Fluid mechanics and thermal engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0901 Aerospace Engineering
 

Citation

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ICMJE
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Lage, J. L., Bejan, A., & Georgiadis, J. G. (1992). The Prandtl number effect near the onset of Bénard convection in a porous medium. International Journal of Heat and Fluid Flow, 13(4), 408–411. https://doi.org/10.1016/0142-727X(92)90011-W
Lage, J. L., A. Bejan, and J. G. Georgiadis. “The Prandtl number effect near the onset of Bénard convection in a porous medium.” International Journal of Heat and Fluid Flow 13, no. 4 (January 1, 1992): 408–11. https://doi.org/10.1016/0142-727X(92)90011-W.
Lage JL, Bejan A, Georgiadis JG. The Prandtl number effect near the onset of Bénard convection in a porous medium. International Journal of Heat and Fluid Flow. 1992 Jan 1;13(4):408–11.
Lage, J. L., et al. “The Prandtl number effect near the onset of Bénard convection in a porous medium.” International Journal of Heat and Fluid Flow, vol. 13, no. 4, Jan. 1992, pp. 408–11. Scopus, doi:10.1016/0142-727X(92)90011-W.
Lage JL, Bejan A, Georgiadis JG. The Prandtl number effect near the onset of Bénard convection in a porous medium. International Journal of Heat and Fluid Flow. 1992 Jan 1;13(4):408–411.
Journal cover image

Published In

International Journal of Heat and Fluid Flow

DOI

ISSN

0142-727X

Publication Date

January 1, 1992

Volume

13

Issue

4

Start / End Page

408 / 411

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4012 Fluid mechanics and thermal engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0901 Aerospace Engineering