Effect of Conduction in Bottom Wall on Darcy-Bénard Convection in a Porous Enclosure

H. Saleh, N. H. Saeid, Ishak Hashim, Zainol Mustafa

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

Conjugate natural convection-conduction heat transfer in a square porous enclosure with a finite-wall thickness is studied numerically in this article. The bottom wall is heated and the upper wall is cooled while the verticals walls are kept adiabatic. The Darcy model is used in the mathematical formulation for the porous layer and the COMSOL Multiphysics software is applied to solve the dimensionless governing equations. The governing parameters considered are the Rayleigh number (100 ≤ Ra ≤ 1000), the wall to porous thermal conductivity ratio (0.44 ≤ Kr ≤ 9.90) and the ratio of wall thickness to its height (0.02 ≤ D ≤ 0.4). The results are presented to show the effect of these parameters on the heat transfer and fluid flow characteristics. It is found that the number of contrarotative cells and the strength circulation of each cell can be controlled by the thickness of the bottom wall, the thermal conductivity ratio and the Rayleigh number. It is also observed that increasing either the Rayleigh number or the thermal conductivity ratio or both, and decreasing the thickness of the bounded wall can increase the average Nusselt number for the porous enclosure.

Original languageEnglish
Pages (from-to)357-368
Number of pages12
JournalTransport in Porous Media
Volume88
Issue number3
DOIs
Publication statusPublished - Jul 2011

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Enclosures
Thermal conductivity
Nusselt number
Natural convection
Heat conduction
Flow of fluids
Heat transfer
Convection

Keywords

  • Conjugate heat transfer
  • Darcy's law
  • Natural convection
  • Porous media

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Catalysis

Cite this

Effect of Conduction in Bottom Wall on Darcy-Bénard Convection in a Porous Enclosure. / Saleh, H.; Saeid, N. H.; Hashim, Ishak; Mustafa, Zainol.

In: Transport in Porous Media, Vol. 88, No. 3, 07.2011, p. 357-368.

Research output: Contribution to journalArticle

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