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

J. L. Lage, A. Bejan, J. G. Georgiadis

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)408-411
Number of pages4
JournalInternational Journal of Heat and Fluid Flow
Volume13
Issue number4
DOIs
StatePublished - Dec 1992

Keywords

  • Bénard convection
  • porous media
  • Prandtl number effect

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering

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